Unified study of nucleon and $Δ$ baryon spectra and their strong decays with chiral dynamics
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
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2024
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| _version_ | 1866929505719812096 |
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| author | Zhong, Hui-Hua Liu, Ming-Sheng Ni, Ru-Hui Chen, Mu-Yang Zhong, Xian-Hui Zhao, Qiang |
| author_facet | Zhong, Hui-Hua Liu, Ming-Sheng Ni, Ru-Hui Chen, Mu-Yang Zhong, Xian-Hui Zhao, Qiang |
| contents | In this work we systematically study both the mass spectra and strong decays of the nucleon and $Δ$ resonances up to the $N=2$ shell within a unified quark model framework with chiral dynamics. In this framework we achieve a good description of the strong decay properties of the well-established nucleon and $Δ$ resonances. Meanwhile, the mass reversal between $N(1440)1/2^{+}$ as the first radial excitation state and the $1P$-wave nucleon resonances can be explained. We show that the three-body spin-orbit potential arising from the one-gluon exchange can cause a large configuration mixing between $N(1520)3/2^-$ and $N(1700)3/2^-$, and is also responsible for the large splitting between $Δ(1600)1/2^-$ and $Δ(1700)3/2^-$. Some of these baryon resonances turn to weakly couple to the $Nπ$, $Nη$, $KΛ$, and $KΣ$ channels, which may answer the question why they have not been established in these channels via the $πN$ and $γN$ scatterings. It shows that these ``missing resonances" may have large potentials to be established in the $Nππ$ final state due to their large decay rates into either the $Δ(1232)$ or $1P$-wave nucleon resonances via the pionic decays. Further experimental search for their signals in charmonium decays at BESIII is thus strongly recommended. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07998 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unified study of nucleon and $Δ$ baryon spectra and their strong decays with chiral dynamics Zhong, Hui-Hua Liu, Ming-Sheng Ni, Ru-Hui Chen, Mu-Yang Zhong, Xian-Hui Zhao, Qiang High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory In this work we systematically study both the mass spectra and strong decays of the nucleon and $Δ$ resonances up to the $N=2$ shell within a unified quark model framework with chiral dynamics. In this framework we achieve a good description of the strong decay properties of the well-established nucleon and $Δ$ resonances. Meanwhile, the mass reversal between $N(1440)1/2^{+}$ as the first radial excitation state and the $1P$-wave nucleon resonances can be explained. We show that the three-body spin-orbit potential arising from the one-gluon exchange can cause a large configuration mixing between $N(1520)3/2^-$ and $N(1700)3/2^-$, and is also responsible for the large splitting between $Δ(1600)1/2^-$ and $Δ(1700)3/2^-$. Some of these baryon resonances turn to weakly couple to the $Nπ$, $Nη$, $KΛ$, and $KΣ$ channels, which may answer the question why they have not been established in these channels via the $πN$ and $γN$ scatterings. It shows that these ``missing resonances" may have large potentials to be established in the $Nππ$ final state due to their large decay rates into either the $Δ(1232)$ or $1P$-wave nucleon resonances via the pionic decays. Further experimental search for their signals in charmonium decays at BESIII is thus strongly recommended. |
| title | Unified study of nucleon and $Δ$ baryon spectra and their strong decays with chiral dynamics |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2409.07998 |