Helicity amplitudes of $N(1520)$ and $N(1535)$ including pentaquark components
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909855836536832 |
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| author | Xu, Kai Kaewsnod, Attaphon Zhao, Zheng Limphirat, Ayut Yan, Yupeng |
| author_facet | Xu, Kai Kaewsnod, Attaphon Zhao, Zheng Limphirat, Ayut Yan, Yupeng |
| contents | We investigate the helicity amplitudes of the $N(1520)$ and $N(1535)$ resonances in the electromagnetic transition process $γ^*p\to N^*$, where the $N(1520)$ and $N(1535)$ are assumed to include both the $L=1$ three-quark and $L=0$ spatial symmetric $q^4\bar q$ pentaquark components. The helicity transition amplitudes $A_{1/2}$, $A_{3/2}$ (for spin 3/2 states) and $S_{1/2}$ are computed within the constituent quark model. The inclusion of the $q^4 \bar q$ pentaquark components via the $γ^*\to q\bar q$ diagram significantly improves the theoretical description of the helicity amplitudes for both $N(1520)$ and $N(1535)$, yielding a closer agreement with experimental data compared to the pure three-quark picture. The work reveals that the $N(1520)$ and $N(1535)$ resonances may contain a considerable pentaquark components. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_15000 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Helicity amplitudes of $N(1520)$ and $N(1535)$ including pentaquark components Xu, Kai Kaewsnod, Attaphon Zhao, Zheng Limphirat, Ayut Yan, Yupeng High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We investigate the helicity amplitudes of the $N(1520)$ and $N(1535)$ resonances in the electromagnetic transition process $γ^*p\to N^*$, where the $N(1520)$ and $N(1535)$ are assumed to include both the $L=1$ three-quark and $L=0$ spatial symmetric $q^4\bar q$ pentaquark components. The helicity transition amplitudes $A_{1/2}$, $A_{3/2}$ (for spin 3/2 states) and $S_{1/2}$ are computed within the constituent quark model. The inclusion of the $q^4 \bar q$ pentaquark components via the $γ^*\to q\bar q$ diagram significantly improves the theoretical description of the helicity amplitudes for both $N(1520)$ and $N(1535)$, yielding a closer agreement with experimental data compared to the pure three-quark picture. The work reveals that the $N(1520)$ and $N(1535)$ resonances may contain a considerable pentaquark components. |
| title | Helicity amplitudes of $N(1520)$ and $N(1535)$ including pentaquark components |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2508.15000 |