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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.06804 |
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| _version_ | 1866915838998609920 |
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| author | Yan, Mao-Jun An, Chun-Sheng Deng, Cheng-Rong |
| author_facet | Yan, Mao-Jun An, Chun-Sheng Deng, Cheng-Rong |
| contents | We investigate low-energy $Nϕ$ scattering driven by a pole-enhanced triangle-like diagram, in which the two-Kaon-exchange contribution is promoted by the near-threshold $Λ(1405)$ pole in the $N\bar K$ subsystem. Using an unphysical Kaon mass motivated by lattice simulations, we evaluate the $Nϕ$ scattering length and find that this mechanism generates an attractive interaction with a magnitude of $-1.1$ to $-0.5\, \rm{fm}$. Spin-dependent effects are not treated explicitly and are expected to provide subleading corrections in the near-threshold region. We further analyze the low-energy behavior of the triangle-like diagram amplitude and show that the scattering length depends on the parameter $δ$, defined as the mass difference between the $K\bar K$ threshold and the $ϕ$ meson, and the pole position of $Λ(1405)$, where the $Λ(1405)$ plays a crucial role to understand $Nϕ$ interaction. Furthermore, by employing physical hadron masses, our calculated scattering length is found to be consistent with current experimental data, providing a unified description across both unphysical and physical mass regimes. This type of interaction differs from that associated with van der Waals-type forces or the long-range tail of two-pion exchange, highlighting the role of three-body dynamics encoded in the pole-enhanced triangle-like diagram in shaping the near-threshold $Nϕ$ interaction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06804 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low-energy $Nϕ$ scattering from a pole-enhanced triangle diagram Yan, Mao-Jun An, Chun-Sheng Deng, Cheng-Rong High Energy Physics - Phenomenology We investigate low-energy $Nϕ$ scattering driven by a pole-enhanced triangle-like diagram, in which the two-Kaon-exchange contribution is promoted by the near-threshold $Λ(1405)$ pole in the $N\bar K$ subsystem. Using an unphysical Kaon mass motivated by lattice simulations, we evaluate the $Nϕ$ scattering length and find that this mechanism generates an attractive interaction with a magnitude of $-1.1$ to $-0.5\, \rm{fm}$. Spin-dependent effects are not treated explicitly and are expected to provide subleading corrections in the near-threshold region. We further analyze the low-energy behavior of the triangle-like diagram amplitude and show that the scattering length depends on the parameter $δ$, defined as the mass difference between the $K\bar K$ threshold and the $ϕ$ meson, and the pole position of $Λ(1405)$, where the $Λ(1405)$ plays a crucial role to understand $Nϕ$ interaction. Furthermore, by employing physical hadron masses, our calculated scattering length is found to be consistent with current experimental data, providing a unified description across both unphysical and physical mass regimes. This type of interaction differs from that associated with van der Waals-type forces or the long-range tail of two-pion exchange, highlighting the role of three-body dynamics encoded in the pole-enhanced triangle-like diagram in shaping the near-threshold $Nϕ$ interaction. |
| title | Low-energy $Nϕ$ scattering from a pole-enhanced triangle diagram |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2601.06804 |