One-pion exchange potential in a strong magnetic field

Fuente: arXiv
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Autores principales: Miura, Daiki, Hongo, Masaru, Taya, Hidetoshi, Hatsuda, Tetsuo
Formato: Preprint
Publicado: 2025
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author Miura, Daiki
Hongo, Masaru
Taya, Hidetoshi
Hatsuda, Tetsuo
author_facet Miura, Daiki
Hongo, Masaru
Taya, Hidetoshi
Hatsuda, Tetsuo
contents We derive the one-pion exchange potential (OPEP) in the presence of a homogeneous magnetic field using chiral perturbation theory with nonrelativistic nucleons. Our approach is applicable not only to weak magnetic fields but also to strong ones up to around the pion-mass scale. The Green's function of charged pions is modified by the magnetic field, leading to changes in the nuclear force. By numerically evaluating the modified OPEP incorporating its spin and isospin dependencies, we show that the range of the potential decreases in both directions parallel and perpendicular to the magnetic field as the field strength increases. We also compute the resulting energy shift of the deuteron due to the modified OPEP, which can reach the order of 1 MeV around $|eB| = m_π^2$, which is comparable to the deuteron binding energy.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26544
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle One-pion exchange potential in a strong magnetic field
Miura, Daiki
Hongo, Masaru
Taya, Hidetoshi
Hatsuda, Tetsuo
Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Experiment
We derive the one-pion exchange potential (OPEP) in the presence of a homogeneous magnetic field using chiral perturbation theory with nonrelativistic nucleons. Our approach is applicable not only to weak magnetic fields but also to strong ones up to around the pion-mass scale. The Green's function of charged pions is modified by the magnetic field, leading to changes in the nuclear force. By numerically evaluating the modified OPEP incorporating its spin and isospin dependencies, we show that the range of the potential decreases in both directions parallel and perpendicular to the magnetic field as the field strength increases. We also compute the resulting energy shift of the deuteron due to the modified OPEP, which can reach the order of 1 MeV around $|eB| = m_π^2$, which is comparable to the deuteron binding energy.
title One-pion exchange potential in a strong magnetic field
topic Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Experiment
url https://arxiv.org/abs/2510.26544