【摘 要】
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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 propagat-or and a corresponding polarization functio
【机 构】
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School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,Ch
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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 propagat-or and a corresponding polarization function.By applying the random phase approximation,the meson mass is nu-merically 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 sz =0,±1 of a vector meson under rotation exhibits a very simple mass splitting relation mszρ(ω) =mρ(ω =0)-ωsz,similar to the Zeeman splitting of a charged meson under magnetic fields.Furthermore,the mass of the spin component sz =1 of vector meson ρ decreases linearly with ω and reaches zero at ωc =mρ(ω =0),which indicates that the system will develop sz =1 vector meson condensation and the system will be spontaneously spin-polarized under rotation.
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