Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929585083383808 |
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| author | Zhuge, Yu Liu, Zhan-Wei Leinweber, Derek B. Thomas, Anthony W. |
| author_facet | Zhuge, Yu Liu, Zhan-Wei Leinweber, Derek B. Thomas, Anthony W. |
| contents | We refine our previous calculation of multipole amplitude $E_{0+}$ for pion photoproduction process, $γN\rightarrowπN$. The treatment of final-state interactions is based upon an earlier analysis of pion-nucleon scattering within Hamiltonian effective field theory, supplemented by incorporating contributions from the $N^*(1650)$ and the $KΛ$ coupled channel. The contribution from the bare state corresponding to the $N^*(1650)$ significantly enhances our results. Additionally, we also compute the multipole amplitude $M_{1-}$, which is of direct relevance to the Roper resonance. The results are comparable with other dynamical coupled channel models, even though the contribution from the bare state (interpreted as a 2$s$ excitation) in this channel is small because of its large mass. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_05334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pion photoproduction of nucleon excited states with Hamiltonian effective field theory Zhuge, Yu Liu, Zhan-Wei Leinweber, Derek B. Thomas, Anthony W. High Energy Physics - Phenomenology Nuclear Theory We refine our previous calculation of multipole amplitude $E_{0+}$ for pion photoproduction process, $γN\rightarrowπN$. The treatment of final-state interactions is based upon an earlier analysis of pion-nucleon scattering within Hamiltonian effective field theory, supplemented by incorporating contributions from the $N^*(1650)$ and the $KΛ$ coupled channel. The contribution from the bare state corresponding to the $N^*(1650)$ significantly enhances our results. Additionally, we also compute the multipole amplitude $M_{1-}$, which is of direct relevance to the Roper resonance. The results are comparable with other dynamical coupled channel models, even though the contribution from the bare state (interpreted as a 2$s$ excitation) in this channel is small because of its large mass. |
| title | Pion photoproduction of nucleon excited states with Hamiltonian effective field theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2407.05334 |