Study of nucleon and $Δ$ resonances from a systematic analysis of $K^\astΣ$ photoproduction
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911020018040832 |
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| author | Shi, Jun Zou, Bing-Song |
| author_facet | Shi, Jun Zou, Bing-Song |
| contents | A systematic analysis of the $K^\astΣ$ photoproduction off proton is performed with all the available differential cross section data. We carry out a strategy different from the previous studies of these reactions, where, instead of fixing the parameters of the added resonances from PDG or pentaquark models, we add the resonance with a specific $J^P$ and leave its parameters to be determined from the experimental data. When adding only one resonance, the best result is to add one $N(3/2^-)$ resonance around $2097$ MeV, which substantially reduces the $χ^2$ per degree of freedom to $1.35$. There are two best solutions when adding two resonances, one is to add one $N^\ast(3/2^-)$ and one $N^\ast(7/2^-)$, the other is to add one $N^\ast(3/2^-)$ and one $Δ^\ast(7/2^-)$, leading the $χ^2$ per degree of freedom to be $1.10$ and $1.09$, respectively. The mass values of the $N^\ast(3/2^-)$ in the two resonance solutions are both near $2070$ MeV. Our solutions indicate that the $N(3/2^-)$ resonance around $2080$ MeV is strongly coupled with the $K^\astΣ$ final state and support the molecular picture of $N(2080, 3/2^-)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04333 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of nucleon and $Δ$ resonances from a systematic analysis of $K^\astΣ$ photoproduction Shi, Jun Zou, Bing-Song High Energy Physics - Phenomenology Nuclear Theory A systematic analysis of the $K^\astΣ$ photoproduction off proton is performed with all the available differential cross section data. We carry out a strategy different from the previous studies of these reactions, where, instead of fixing the parameters of the added resonances from PDG or pentaquark models, we add the resonance with a specific $J^P$ and leave its parameters to be determined from the experimental data. When adding only one resonance, the best result is to add one $N(3/2^-)$ resonance around $2097$ MeV, which substantially reduces the $χ^2$ per degree of freedom to $1.35$. There are two best solutions when adding two resonances, one is to add one $N^\ast(3/2^-)$ and one $N^\ast(7/2^-)$, the other is to add one $N^\ast(3/2^-)$ and one $Δ^\ast(7/2^-)$, leading the $χ^2$ per degree of freedom to be $1.10$ and $1.09$, respectively. The mass values of the $N^\ast(3/2^-)$ in the two resonance solutions are both near $2070$ MeV. Our solutions indicate that the $N(3/2^-)$ resonance around $2080$ MeV is strongly coupled with the $K^\astΣ$ final state and support the molecular picture of $N(2080, 3/2^-)$. |
| title | Study of nucleon and $Δ$ resonances from a systematic analysis of $K^\astΣ$ photoproduction |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.04333 |