dorsal/arxiv
View SchemaLow-energy $N\phi$ scattering from a pole-enhanced triangle diagram
| Authors | Mao-Jun Yan, Chun-Sheng An, Cheng-Rong Deng |
|---|---|
| Categories | |
| ArXiv ID | 2601.06804vv1 |
| URL | https://arxiv.org/abs/2601.06804 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We investigate low-energy $N\phi$ scattering driven by a pole-enhanced triangle diagram, in which the two-kaon-exchange contribution is promoted by the near-threshold $\Lambda(1405)$ pole in the $N\bar K$ subsystem. Using an unphysical kaon mass motivated by lattice simulations, we evaluate the $N\phi$ scattering length and find that this mechanism generates an attractive interaction with a magnitude of $-1.5$ 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-diagram amplitude and show that the scattering length performs a characteristic power-law dependence on the parameter $\tilde{\delta}$, defined as the mass difference between the $K\bar K$ threshold and the $\phi$ meson. This threshold-driven behavior 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 diagram in shaping the near-threshold $N\phi$ interaction.
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"abstract": "We investigate low-energy $N\\phi$ scattering driven by a pole-enhanced triangle diagram, in which the two-kaon-exchange contribution is promoted by the near-threshold $\\Lambda(1405)$ pole in the $N\\bar K$ subsystem. Using an unphysical kaon mass motivated by lattice simulations, we evaluate the $N\\phi$ scattering length and find that this mechanism generates an attractive interaction with a magnitude of $-1.5$ 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-diagram amplitude and show that the scattering length performs a characteristic power-law dependence on the parameter $\\tilde{\\delta}$, defined as the mass difference between the $K\\bar K$ threshold and the $\\phi$ meson. This threshold-driven behavior 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 diagram in shaping the near-threshold $N\\phi$ interaction.",
"arxiv_id": "2601.06804",
"authors": [
"Mao-Jun Yan",
"Chun-Sheng An",
"Cheng-Rong Deng"
],
"categories": [
"hep-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Low-energy $N\\phi$ scattering from a pole-enhanced triangle diagram",
"url": "https://arxiv.org/abs/2601.06804",
"version": "v1"
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