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Main Authors: Zuo, Bing-Jun, Zhang, Zheng, Shi, Chao, Huang, Yong-Feng
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.14646
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author Zuo, Bing-Jun
Zhang, Zheng
Shi, Chao
Huang, Yong-Feng
author_facet Zuo, Bing-Jun
Zhang, Zheng
Shi, Chao
Huang, Yong-Feng
contents We investigate the chiral phase transition within a sphere under a uniform background magnetic field. The Nambu--Jona-Lasinio (NJL) model is employed and the MIT boundary condition is imposed for the spherical confinement. Using the wave expansion method, the diagonalizable Hamiltonian and energy spectrum are derived for the system. By solving the gap equation in the NJL model, the influence of magnetic field on quark matter in a sphere is studied. It is found that inverse magnetic catalysis occurs at small radii, while magnetic catalysis occurs at large radii. Additionally, both magnetic catalysis and inverse magnetic catalysis are observed at the intermediate radii ($R\approx4$ fm).
format Preprint
id arxiv_https___arxiv_org_abs_2401_14646
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strongly interacting matter in a sphere at nonzero magnetic field
Zuo, Bing-Jun
Zhang, Zheng
Shi, Chao
Huang, Yong-Feng
Nuclear Theory
High Energy Physics - Theory
We investigate the chiral phase transition within a sphere under a uniform background magnetic field. The Nambu--Jona-Lasinio (NJL) model is employed and the MIT boundary condition is imposed for the spherical confinement. Using the wave expansion method, the diagonalizable Hamiltonian and energy spectrum are derived for the system. By solving the gap equation in the NJL model, the influence of magnetic field on quark matter in a sphere is studied. It is found that inverse magnetic catalysis occurs at small radii, while magnetic catalysis occurs at large radii. Additionally, both magnetic catalysis and inverse magnetic catalysis are observed at the intermediate radii ($R\approx4$ fm).
title Strongly interacting matter in a sphere at nonzero magnetic field
topic Nuclear Theory
High Energy Physics - Theory
url https://arxiv.org/abs/2401.14646