Effects of strange molecular partners of $P_c$ states in $γp \to K Σ$ reactions
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| Natura: | Preprint |
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2025
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| _version_ | 1866908617655975936 |
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| author | Suo, Jian-Cheng Ben, Di Zou, Bing-Song |
| author_facet | Suo, Jian-Cheng Ben, Di Zou, Bing-Song |
| contents | Our previous studies revealed evidence of the strange molecular partners of $P_c$ states, $N(2080)3/2^-$ and $N(2270)3/2^-$, in the $γp \to K^{*+} Σ^0 / K^{*0} Σ^+$ and $γp \to ϕp$ reactions. Motivated by the differential cross-section data for $γp \to K^+ Σ^0$ from CLAS 2010, which exhibits some bump structures at $W \approx$ 1875, 2080 and 2270 MeV, we extend our previous analysis by investigating the effects of $N(1535)1/2^-$, $N(1875)3/2^-$, $N(2080)1/2^- \&\ 3/2^-$ and $N(2270)1/2^- , 3/2^- \&\ 5/2^-$, as strange partners of $P_c$ molecular states, in the reactions $γp \to K^+ Σ^0$ and $γp \to K^0 Σ^+$. The theoretical model employed in this study utilizes an effective Lagrangian approach in the tree-level Born approximation. It contains the contributions from $s$-channel with exchanges of $N$, $Δ$, $N^*$ (including the hadronic molecules with hidden strangeness), and $Δ^*$; $t$-channel; $u$-channel; and the generalized contact term. The results based on the final fitted parameters are in good agreement with all available experimental data of both cross-sections and polarization observables for $γp \to K^+ Σ^0$ and $γp \to K^0 Σ^+$. Notably, the $s$-channel exchanges of molecules significantly contribute to the bump structures in cross-sections for $γp \to K Σ$ at $W \approx$ 1900, 2080 and 2270 MeV, and show considerable coherence with contributions from $s$-channel exchanges of general resonances to construct the overall structures of cross-sections. More abundant experiments, particularly for the reaction $γp \to K^0 Σ^+$, are necessary to further strengthen the constraints on the theoretical models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effects of strange molecular partners of $P_c$ states in $γp \to K Σ$ reactions Suo, Jian-Cheng Ben, Di Zou, Bing-Song Nuclear Theory High Energy Physics - Phenomenology Our previous studies revealed evidence of the strange molecular partners of $P_c$ states, $N(2080)3/2^-$ and $N(2270)3/2^-$, in the $γp \to K^{*+} Σ^0 / K^{*0} Σ^+$ and $γp \to ϕp$ reactions. Motivated by the differential cross-section data for $γp \to K^+ Σ^0$ from CLAS 2010, which exhibits some bump structures at $W \approx$ 1875, 2080 and 2270 MeV, we extend our previous analysis by investigating the effects of $N(1535)1/2^-$, $N(1875)3/2^-$, $N(2080)1/2^- \&\ 3/2^-$ and $N(2270)1/2^- , 3/2^- \&\ 5/2^-$, as strange partners of $P_c$ molecular states, in the reactions $γp \to K^+ Σ^0$ and $γp \to K^0 Σ^+$. The theoretical model employed in this study utilizes an effective Lagrangian approach in the tree-level Born approximation. It contains the contributions from $s$-channel with exchanges of $N$, $Δ$, $N^*$ (including the hadronic molecules with hidden strangeness), and $Δ^*$; $t$-channel; $u$-channel; and the generalized contact term. The results based on the final fitted parameters are in good agreement with all available experimental data of both cross-sections and polarization observables for $γp \to K^+ Σ^0$ and $γp \to K^0 Σ^+$. Notably, the $s$-channel exchanges of molecules significantly contribute to the bump structures in cross-sections for $γp \to K Σ$ at $W \approx$ 1900, 2080 and 2270 MeV, and show considerable coherence with contributions from $s$-channel exchanges of general resonances to construct the overall structures of cross-sections. More abundant experiments, particularly for the reaction $γp \to K^0 Σ^+$, are necessary to further strengthen the constraints on the theoretical models. |
| title | Effects of strange molecular partners of $P_c$ states in $γp \to K Σ$ reactions |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2504.05811 |