Probing $ ϕ$N interaction through bound states of $ ϕ\textrm{N-}α$ system

Fuente: arXiv
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Main Author: Etminan, Faisal
Format: Preprint
Published: 2025
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author Etminan, Faisal
author_facet Etminan, Faisal
contents The possible bound state of the $ ϕN α$ system is explored within the framework of the three-body cluster model. The calculations are done by employing the state-of-the-art $ ϕ$N interactions obtained from the analysis of the pure elastic scattering and the coupled-channel in the $ϕp$ correlation functions. The $ ϕα$ potentials are constructed by two methods: the single-folding potential (SFP) method for the given spin-averaged $ ϕ$N potentials in coordinate space, and the optical model potential (OMP) approximation within the multiple-scattering framework for the given scattering length of the $ ϕ$N interaction. It is found that, when only the single-channel $ ϕN$ interactions are employed, the $ ϕN α$ system could be bound with a binding energy in the interval [3-26] MeV. However, the coupled-channel $ϕp$ interaction, which is most consistent with experimental measurements, does not yield any bound state, even when the spin-averaged $ϕN$ potential is employed, and this potential is found to be more attractive than the corresponding coupled-channel counterpart. It is essential to consider the contributions from the dynamics of the vector-baryon coupled channels $ϕp$ interaction. This effect is capable of playing a decisive role in the existence of mesic nuclei.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17022
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing $ ϕ$N interaction through bound states of $ ϕ\textrm{N-}α$ system
Etminan, Faisal
Nuclear Theory
High Energy Physics - Lattice
The possible bound state of the $ ϕN α$ system is explored within the framework of the three-body cluster model. The calculations are done by employing the state-of-the-art $ ϕ$N interactions obtained from the analysis of the pure elastic scattering and the coupled-channel in the $ϕp$ correlation functions. The $ ϕα$ potentials are constructed by two methods: the single-folding potential (SFP) method for the given spin-averaged $ ϕ$N potentials in coordinate space, and the optical model potential (OMP) approximation within the multiple-scattering framework for the given scattering length of the $ ϕ$N interaction. It is found that, when only the single-channel $ ϕN$ interactions are employed, the $ ϕN α$ system could be bound with a binding energy in the interval [3-26] MeV. However, the coupled-channel $ϕp$ interaction, which is most consistent with experimental measurements, does not yield any bound state, even when the spin-averaged $ϕN$ potential is employed, and this potential is found to be more attractive than the corresponding coupled-channel counterpart. It is essential to consider the contributions from the dynamics of the vector-baryon coupled channels $ϕp$ interaction. This effect is capable of playing a decisive role in the existence of mesic nuclei.
title Probing $ ϕ$N interaction through bound states of $ ϕ\textrm{N-}α$ system
topic Nuclear Theory
High Energy Physics - Lattice
url https://arxiv.org/abs/2507.17022