Author:
Wei Minghua,Jiang Yin,Huang Mei
Abstract
Abstract
In this study, we investigate the effect of rotation on the masses of scalar and vector mesons in the framework of the 2-flavor Nambu-Jona-Lasinio model. The existence of rotation produces a tedious quark propagator and a corresponding polarization function. By applying the random phase approximation, the meson mass is numerically calculated. It is found that the behavior of scalar and pseudoscalar meson masses under angular velocity ω is similar to that at a finite chemical potential; both rely on the behavior of the constituent quark mass and reflect the property related to chiral symmetry. However, vector meson ρ masses have a more profound relation to rotation. After analytical and numerical calculations, it turns out that at low temperature and small chemical potential, the mass for spin component
of a vector meson under rotation exhibits a very simple mass splitting relation
, similar to the Zeeman splitting of a charged meson under magnetic fields. Furthermore, the mass of the spin component
of vector meson ρ decreases linearly with ω and reaches zero at
, which indicates that the system will develop
vector meson condensation and the system will be spontaneously spin-polarized under rotation.
Funder
National Natural Science Foundation of China
Chinese Academy of Sciences
Subject
Astronomy and Astrophysics,Instrumentation,Nuclear and High Energy Physics
Cited by
2 articles.
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