diff --git "a/3NFAT4oBgHgl3EQflB25/content/tmp_files/load_file.txt" "b/3NFAT4oBgHgl3EQflB25/content/tmp_files/load_file.txt" new file mode 100644--- /dev/null +++ "b/3NFAT4oBgHgl3EQflB25/content/tmp_files/load_file.txt" @@ -0,0 +1,708 @@ +filepath=/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf,len=707 +page_content='arXiv:2301.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='08615v1 [hep-ph] 20 Jan 2023 Photo-production of lowest Σ∗ 1/2− state within the Regge-effective Lagrangian approach Yun-He Lyu,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='1 Han Zhang,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='1 Neng-Chang Wei,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='2 Bai-Cian Ke,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='1 En Wang,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='1 and Ju-Jun Xie3,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 2,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 4 1School of Physics and Microelectronics,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Zhengzhou University,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Zhengzhou,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Henan 450001,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' China 2School of Nuclear Sciences and Technology,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' University of Chinese Academy of Sciences,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Beijing 101408,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' China 3Institute of Modern Physics,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Chinese Academy of Sciences,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Lanzhou 730000,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' China 4Southern Center for Nuclear-Science Theory (SCNT),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Institute of Modern Physics,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Chinese Academy of Sciences,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Huizhou 516000,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Guangdong Province,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' China (Dated: January 23,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 2023) Since the lowest Σ∗ state,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' with quantum numbers spin-parity JP = 1/2−,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' is far from estab- lished experimentally and theoretically,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' we have performed a theoretical study on the Σ∗ 1/2− photo- production within the Regge-effective Lagrangian approach.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Taking into account that the Σ∗ 1/2− couples to the ¯KN channel, we have considered the contributions from the t-channel K exchange diagram.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Moreover, these contributions from t-channel K∗ exchange, s-channel nucleon pole, u- channel Σ exchange, and the contact term, are considered.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The differential and total cross sections of the process γn → K+Σ∗− 1/2− are predicted with our model parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The results should be helpful to search for the Σ∗ 1/2− state experimentally in future.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' PACS numbers: I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' INTRODUCTION The study of the low-lying excited Λ∗ and Σ∗ hyperon resonances is one of the most important issues in hadron physics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Especially, since the Λ(1405) was discovered experimentally [1, 2], its nature has called many atten- tions [3–8], and one explanation for Λ(1405) is that it is a ¯KN hadronic molecular state [9–14].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition, the isospin I = 1 partner of the Λ(1405), the lowest Σ∗ 1/2− is crucial to understand the light baryon spec- tra.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' At present, there is a Σ∗(1620) with JP = 1/2− listed in the latest version of Review of Particle Physics (RPP) [15].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' It should be stressed that the Σ∗(1620) state is a one-star baryon resonance, and many studies indicate that the lowest Σ∗ 1/2− resonance is still far from estab- lished, and its mass was predicted to lie in the range of 1380 ∼ 1500 MeV [13, 16–19].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Thus, searching for the lowest Σ∗ 1/2− is helpful to understand the low-lying ex- cited baryons with JP = 1/2− and the light flavor baryon spectra.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The analyses of the relevant data of the process K−p → Λπ+π− suggest that there may exist a Σ∗ 1/2− resonance with mass about 1380 MeV [16, 17], which is consistent with the predictions of the unquenched quark models [20].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The analyses of the K∗Σ photo- production also indicate that the Σ∗ 1/2− is possibly buried under the Σ∗(1385) peak with mass of 1380 MeV [21], and it is proposed to search for the Σ∗ 1/2− in the pro- cess Λc → ηπ+Λ [22].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' A more delicate analysis of the CLAS data on the process γp → KΣπ [23] suggests that the Σ∗ 1/2− peak should be around 1430 MeV [13].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [24, 25], we suggest to search for such state in the processes of χc0(1P) → ¯ΣΣπ and χc0(1P) → ¯ΛΣπ.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition, Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [26] has found one Σ∗ 1/2− state with mass around 1400 MeV by solving coupled channel scattering equations, and Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [27] suggests to search for this state in the photo-production process γp → K+Σ∗0 1/2−.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' It’s worth mentioning that a Σ∗(1480) resonance with JP = 1/2− has been listed on the previous version of RPP [28].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' As early as 1970, the Σ∗(1480) resonance was reported in the Λπ+, Σπ, and p ¯K0 channels of the π+p scattering in the Princeton-Pennsylvania Accelera- tor 15-in.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='∼hydrogen bubble chamber [29, 30].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In 2004, a bump structure around 1480 MeV was observed in the K0 Sp(¯p) invariant mass spectrum of the inclusive deep inelastic ep scattering by the ZEUS Collaboration [31].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Furthermore, a signal for a resonance at 1480 ± 15 MeV with width of 60 ± 15 MeV was observed in the process pp → K+pY ∗0 [32].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Theoretically, the Σ∗(1480) was in- vestigated within different models [33–36].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [36], the S-wave meson-baryon interactions with strangeness S = −1 were studied within the unitary chiral approach, and one narrow pole with pole position of 1468−i 13 MeV was found in the second Riemann sheet, which could be associated with the Σ∗(1480) resonance.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' However, the Σ∗(1480) signals are insignificant, and the existence of this state still needs to be confirmed within more precise experimental measurements.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' As we known, the photo-production reactions have been used to study the excited hyperon states Σ∗ and Λ∗, and the Crystal Ball [37–39], LEPS [40], and CLAS [23] Collaborations have accumulated lots of relevant exper- imental data.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' For instance, with these data, we have analyzed the process γp → KΛ∗(1405) to deepen the un- derstanding of the Λ∗(1405) nature in Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [41].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In order to confirm the existence of the Σ∗(1480), we propose to investigate the process γN → KΣ∗(1480) 1 within the 1 Here after, we denote Σ∗(1480) as the lowest Σ∗ 1/2− state unless otherwise stated.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 2 Regge-effective Lagrange approach.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Considering the Σ∗(1480) signal was first observed in the π+Λ invariant mass distribution of the process π+p → π+K+Λ, and the significance is about 3 ∼ 4σ [30], we search for the charged Σ∗(1480) in the process γn → K+Σ∗− 1/2−, which could also avoid the contribu- tions of possible excited Λ∗ states.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' We will consider the t-, s-, u-channels diagrams in the Born approximation by employing the effective Lagrangian approach, and the t-channel K/K∗ exchanges terms within Regge model.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Then we will calculate the differential and total cross sections of the process γn → K+Σ∗− 1/2− reaction, which are helpful to search for Σ∗ 1/2− experimentally.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' This paper is organized as follows.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In Sec.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' II, the the- oretical formalism for studying the γn → K+Σ∗−(1480) reactions are presented.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The numerical results of total and differential cross sections and discussion are shown in Sec.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' III.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Finally, a brief summary is given in the last section.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' II.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' FORMALISM The reaction mechanisms of the Σ∗(1480) (≡ Σ∗) photo-production process are depicted in the Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1, where we have taken into account the contributions from the t-channel K and K∗ exchange term, s-channel nu- cleon pole term, u-channel Σ exchange term, and the contact term, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' γ(k1) K(k2) N(p1) Σ∗(p2) K, K∗ γ K N Σ∗ N γ Σ∗ N K γ K N Σ∗ Σ (a) (b) (c) (d) FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1: The mechanisms of the γn → K+Σ∗− 1/2− process.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' (a) t-channel K/K∗ exchange terms, (b) s-channel nuclear term, (c) u-channel Σ exchange term, and (d) contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The k1, k2, p1, and p2 stand for the four-momenta of the initial photon, kaon, neutron, and Σ∗(1480), respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' To compute the scattering amplitudes of the Feynman diagrams shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 within the effective Lagrangian approach, we use the Lagrangian densities for the elec- tromagnetic and strong interaction vertices as used in Refs.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [27, 42–46] LγKK = −ie � K† (∂µK) − � ∂µK†� K � Aµ, (1) LγKK∗ = gγKK∗ǫµναβ∂µAν∂αK∗ βK, (2) LγNN = −e ¯N � γµˆe − ˆκN 2MN σµν∂ν � AµN, (3) LγΣΣ∗ = eµΣΣ∗ 2MN ¯Σγ5σµν∂νAµΣ∗ + h.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=', (4) LKNΣ = −igKNΣ ¯Nγ5ΣK + h.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=', (5) LK∗NΣ∗ = igK∗NΣ∗ √ 3 ¯K∗µ ¯Σ∗γµγ5N + h.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' (6) LKNΣ∗ = gKNΣ∗ ¯K ¯ Σ∗N + h.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=', (7) where e(= √ 4πα) is the elementary charge unit, Aµ is the photon filed, and ˆe ≡ (1+τ3)/2 denotes the charge opera- tor acting on the nucleon field.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' ˆκN ≡ κpˆe+κn(1−ˆe) is the anomalous magnetic moment, and we take κn = −1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='913 for neutron [15].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' MN and MΣ denote the masses of nu- cleon and the ground-state of Σ hyperon, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The strong coupling gKNΣ is taken to be 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='09 from Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [47].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The gγKK∗ = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='254 GeV−1 is determined from the experimental data of ΓK∗→K+γ [15] and the value of gK∗NΣ∗ = −3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='26 − i0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='06 is taken from Ref [26].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition, the coupling gKNΣ∗ = 8.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='74 GeV is taken from Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [36], and the transition magnetic moment µΣΣ∗ = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='28 is taken from Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [27] With the effective interaction Lagrangian densities given above, the invariant scattering amplitudes are de- fined as M = ¯uΣ∗(p2, sΣ∗)Mµ huN(k2, sp)ǫµ(k1, λ), (8) where uΣ∗ and uN stand for the Dirac spinors, respec- tively, while ǫµ(k1, λ) is the photon polarization vector and the sub-indice h corresponds to different diagrams of Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The reduced amplitudes Mµ h are written as Mµ K∗ = egγKK∗gK∗NΣ∗ √ 3MK∗(t − M 2 K∗)ǫαβµνk1αk2βγνγ5, (9) Mµ K− = −2iegKNΣ∗ t − M 2 K kµ 2 , (10) Mµ Σ− = −i eµΣΣ∗gKNΣ 2Mn(u − M 2 Σ∗)(q/u − MΣ)σµνk1ν, (11) Mµ n = κngKNΣ∗ 2Mn(s − M 2n)σµνk1ν(q/s + Mn).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' (12) In order to keep the full photoproduction amplitudes considered here gauge invariant, we adopt the amplitude of the contact term Mµ c = −iegKNΣ∗ pµ 2 p2 · k1 , (13) for γn → K+Σ∗− 1/2−.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 3 It is known that the Reggeon exchange mechanism plays a crucial role at high energies and forward an- gles [48–51],' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' thus we will adopt Regge model for mod- eling the t-channel K and K∗ contributions by replacing the usual pole-like Feynman propagator with the corre- sponding Regge propagators as follows,' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 t − M 2 K → FRegge K = � s sK 0 �αK(t) πα′ K sin(παK(t))Γ(1 + αK(t)),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='(14) 1 t − M 2 K∗ → FRegge K∗ = � s sK∗ 0 �αK∗(t) πα′ K∗ sin(παK∗(t))Γ(αK∗(t)),' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='(15) with αK(t) = 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='7 GeV−2 × (t − M 2 K) and αK∗(t) = 1 + 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='83 Gev−2 × (t − M 2 K∗) the linear Reggeon trajectory.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The constants sK 0 and sK∗ 0 are determined to be 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='0 GeV2 and 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 GeV2, respectively [52].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Here, the α′ K and α′ K∗ are the Regge-slopes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Then, the full photo-production amplitudes for γn → K+Σ∗− 1/2− reaction can be expressed as Mµ = � Mµ K− + Mµ c � � t − M 2 K− � FRegge K + Mµ Σ−fu + Mµ K∗ � t − M 2 K∗ � FRegge K∗ + Mµ nfs, (16) While FRegge K and FRegge K∗ stand for the Regge propaga- tors.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The form factors fs and fu are included to suppress the large momentum transfer of the intermediate par- ticles and describe their off-shell behavior, because the intermediate hadrons are not point-like particles.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' For s-channel and u-channel baryon exchanges, we use the following form factors [42, 53] fi(q2 i ) = � Λ4 i Λ4 i + (q2 i − M 2 i )2 �2 , i = s, u (17) with Mi and qi being the masses and four-momenta of the intermediate baryons, and the Λi is the cut-off values for baryon exchange diagrams.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In this work, we take Λs = Λu = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 GeV, and will discuss the results with different cut-off.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Finally, the unpolarized differential cross section in the center of mass (c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=') frame for the γn → KΣ∗− 1/2− reac- tion reads dσ dΩ = MNMΣ∗|⃗kc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 ||⃗pc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 | 8π2(s − M 2 N)2 � λ,sp,sΣ∗ |M|2, (18) where s denotes the invariant mass square of the center of mass (c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=') frame for Σ∗ 1/2− photo-production.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Here ⃗kc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 and ⃗pc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 1 are the three-momenta of the photon and K meson in the c.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' frame, while dΩ = 2πdcosθc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=', with θc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' the polar outgoing K scattering angle.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' III.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' NUMERICAL RESULTS AND DISCUSSIONS In this section, we show our numerical results of the dif- ferential and total cross sections for the γn → K+Σ∗− 1/2− reaction.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The masses of the mesons and baryons are taken from RPP [15], as given in Table I.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition, the mass and width of the Σ(1480) are M = 1480 ± 15 GeV and Γ = 60 ± 15 GeV, respectively [28].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' TABLE I: Particle masses used in this work.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Particle Mass (MeV) n 939.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='565 Σ− 1197.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='449 K+ 493.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='677 K− 493.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='677 K∗ 891.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='66 First we show the angle dependence of the differential cross sections for the γn → K+Σ∗− 1/2− reaction in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 2, where the the center-of-mass energies W = √s varies from 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='0 to 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='8 GeV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The black curves labeled as ‘Total’ show the results of all the contributions from the t-, s-, u-channels, and contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The blue-dot curves and red-dashed curves stand for the contributions from the u-channel Σ exchange and t-channel K exchange mecha- nism, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The magenta-dot-dashed curves and the green-dot curves correspond to the contributions from the s-channel and t-channel K∗ exchange diagrams, respectively, while the cyan-dot-dashed curves represent the contribution from the contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' According to the differential cross sections, one can find that the t-channel K meson exchange term plays an important role at for- ward angles for the process γn → K+Σ∗− 1/2−, mainly due to the Regge effects of the t-change K exchange.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The K-Reggeon exchange shows steadily increasing behavior with cosθc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' and falls off drastically at very forward an- gles.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition, the u-channel Σ exchange term mainly contribute to the backward angles for both processes.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' It should be stressed that the contribution from the t- channel K∗ exchange term is very small and could be safely neglected for the process γn → K+Σ∗− 1/2−, which is consistent with the results of Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [27].' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' In addition to the the differential cross sections, we have also calculated the total cross section of the γn → K+Σ∗− 1/2− reaction as a function of the initial photon en- ergy.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The results are shown in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The black curve labeled as ‘Total’ shows the results of all the contribu- tions, including t-, s-, u- channels and contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The blue-dot and red-dashed curves stand for the contribu- tions from the u- channel Σ exchange and t- channel K exchange mechanism, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The magenta-dot- dashed and the green-dot curves show the contribution of s-channel and t-channel K∗ exchange diagrams, respec- tively, while the cyan-dot-dashed curve represents the 4 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 dσ/dcosθc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' (µb) cosθc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='0 GeV K-t K*-t s-channel u-channel contact term Total W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='1 GeV W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='2 GeV 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='3 GeV W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='4 GeV W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 GeV 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='6 GeV 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='7 GeV 1 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 W=2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='8 GeV FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 2: (Color online) γn → K+Σ∗− 1/2− differential cross sections as a function of cosθc.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='m.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' are plotted for γn-invariant mass intervals (in GeV units).' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The black curve labeled as ‘Total’ shows the results of all the contributions, including t-, s-, u- channels and contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The blue-dot and red-dashed curves stand for the contributions from the effective Lagrangian approach u- channel Σ exchange and t- channel K exchange mechanism, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The magenta-dot-dashed and the green-dot-dashed curves show the contribution of s-channel and t-channel K∗ exchange diagrams, respectively, while the cyan-dot-dashed curve represent the contribution of the contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' contribution of the contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' For the γn → K+Σ∗− 1/2− reaction its total cross section attains a maximum value of about 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='3 µb at Eγ = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='3 GeV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' It is expected that the Σ∗(1480) could be observed by future experiments in the process γn → K+Σ∗− (1480) → Σ−π0/Σ0π−/Σ−γ.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Finally, we also show the total cross section for γn → K+Σ∗− 1/2− with the cut-off Λs/u = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='2, 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5, and 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='8 GeV in Fig.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 4, where one can find the total cross sections are weakly dependence on the value of the cut-off.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Since the precise couplings of the Σ(1480) are still unknown, the 5 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 5 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 σ (µb) Eγ (GeV) K-t K*-t s-channel u-channel contact term Total FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 3: (Color online) Total cross section for γn → K+Σ∗ 1/2− is plotted as a function of the lab energy Eγ.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The black curve labeled as ‘Total’ shows the results of all the con- tributions, including t-,s-,u- channels and contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The blue-dot and red-dashed curves stand for the contributions from the effective Lagrangian approach u- channel Σ exchange and t- channel K exchange mechanism, respectively.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The magenta-dot-dashed and the green-dot curves show the con- tribution of s-channel and t-channel K∗ exchange diagrams, respectively, while the cyan-dot-dashed curve represents the contribution of the contact term.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 0 0.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 5 5.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 2 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 3 3.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 4 σ (µb) Eγ (GeV) Λs,u = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='2 GeV Λs,u = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5 GeV Λs,u = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='8 GeV FIG.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 4: (Color online) Total cross section for γn → K+Σ∗ 1/2− with the cut-off Λs/u = 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='2, 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='5, and 1.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='8 GeV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' future experiment would be helpful to constrain these couplings if the state Σ(1480) is confirmed.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' IV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' SUMMARY The lowest Σ∗− 1/2− is far from established, and its ex- istence is important to understand the low-lying excited baryon with JP = 1/2−.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' There are many experimen- tal hints of the Σ∗(1480), which has been listed in the previous version of the Review of Particle Physics.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' We propose to search for this state in the photoproduction process to confirm its existence.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Assuming that the JP = 1/2− low lying state Σ∗ (1480) has a sizeable coupling to the ¯KN according the study of Ref.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [36], we have phenomenologically inves- tigated the γn → K+Σ∗− 1/2− reaction by considering the contributions from the t-channel K/K∗ exchange term, s-channel nucleon term, u-channel Σ exchange term, and contact term within the Regge-effective Lagrange ap- proach.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The differential cross sections and total cross sections for these processes are calculated with our model parameters.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' The total cross section of γn → K+Σ∗− 1/2− is about 4.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='3 µb around Eγ = 2.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='3 GeV.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' We encourage our experimental colleagues to measure γn → K+Σ∗− 1/2− process.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Acknowledgements This work is supported by the National Natu- ral Science Foundation of China under Grant Nos.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 12192263, 12075288, 11735003, and 11961141012, the Natural Science Foundation of Henan under Grand No.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' 222300420554.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' It is also supported by the Project of Youth Backbone Teachers of Colleges and Universities of Henan Province (2020GGJS017), the Youth Talent Support Project of Henan (2021HYTP002), the Open Project of Guangxi Key Laboratory of Nuclear Physics and Nuclear Technology, No.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content='NLK2021-08, the Youth In- novation Promotion Association CAS.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' [1] R.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' H.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' Dalitz and S.' metadata={'source': '/home/zjlab/wf/langchain-ChatGLM/knowledge_base/3NFAT4oBgHgl3EQflB25/content/2301.08615v1.pdf'} +page_content=' F.' 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