Mass splitting of vector mesons and spontaneous spin polarization under rotation  

作　　者：Minghua Wei Yin Jiang Mei Huang 魏明华;姜寅;黄梅(School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China;Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;Department of Physics,BeiHang University,Beijing 100191,China)

机构地区：[1]School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China [2]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [3]Department of Physics,BeiHang University,Beijing 100191,China

出　　处：《Chinese Physics C》2022年第2期90-104,共15页中国物理C（英文版）

基　　金：Supported by the National Natural Science Foundation of China (NSFC)(11725523, 11735007);Chinese Academy of Sciences (XDPB09);the start-up funding from University of Chinese Academy of Sciences (UCAS);the Fundamental Research Funds for the Central Universities;Supported by NSFC(11875002);the Zhuobai Program of Beihang University

摘　　要：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 s_(z)=0,±1 of a vector meson under rotation exhibits a very simple mass splitting relation m^(s_(z))_(ρ)(ω)=m_(ρ)(ω=0)-ωs_(z),similar to the Zeeman splitting of a charged meson under magnetic fields.Furthermore,the mass of the spin component s_(z)=1 of vector meson ρ decreases linearly with ω and reaches zero at ω_(c)=m_(ρ)(ω=0),which indicates that the system will develop s_(z)=1 vector meson condensation and the system will be spontaneously spin-polarized under rotation.

关 键 词：ROTATION QGP meson mass 

分 类 号：O572.33[理学—粒子物理与原子核物理]