On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909838373552128 |
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| author | Li, Qu-Zhi Xiao, Zhiguang Zheng, Han-Qing |
| author_facet | Li, Qu-Zhi Xiao, Zhiguang Zheng, Han-Qing |
| contents | We study the pole trajectory of the recently established subthreshold negative parity nucleon pole, namely the $N^*(920)$, with varying pion masses, in the scheme of linear $σ$ model with nucleons using the $N/D$ unitarization method. We find that as the pion mass increases, the pole moves toward the real axis. For larger pion masses, at tree level, the pole falls to a specific point on $u$-channel cut and crosses to the adjacent Riemann sheet defined by the logarithmic $u$ channel cut. At one-loop level, the pole does not meet the $u$-cut up to $m_π=0.36$GeV. We also re-examined the $σ$ pole trajectory and find it in good agreement with Roy equation analysis result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses Li, Qu-Zhi Xiao, Zhiguang Zheng, Han-Qing High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We study the pole trajectory of the recently established subthreshold negative parity nucleon pole, namely the $N^*(920)$, with varying pion masses, in the scheme of linear $σ$ model with nucleons using the $N/D$ unitarization method. We find that as the pion mass increases, the pole moves toward the real axis. For larger pion masses, at tree level, the pole falls to a specific point on $u$-channel cut and crosses to the adjacent Riemann sheet defined by the logarithmic $u$ channel cut. At one-loop level, the pole does not meet the $u$-cut up to $m_π=0.36$GeV. We also re-examined the $σ$ pole trajectory and find it in good agreement with Roy equation analysis result. |
| title | On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2501.01619 |