中国物理学会高能物理分会第十三届全国粒子物理学术会议（2021）

We study the effect of the rotation on the masses of scalar meson as well as vector meson in the framework of 2-flavor Nambu--Jona-Lasinio model. Applying the random phase approximation, the meson mass is calculated numerically. It is found that the behavior of scalar and pseudoscalar meson masses under the angular velocity $\omega$ is similar to that at finite chemical potential, both relied on the behavior of constituent quark mass and reflect the property related to the chiral symmetry. However, masses of vector meson $\rho$ have a profounder relation with rotation. It turns out that at low temperature and small chemical potential, the mass for spin component $s_z=0,\pm 1$ of vector meson under rotation shows very simple mass splitting relation $m_{\rho}^{s_z}(\omega)=m_\rho(\omega=0)-\omega s_z$, similar to the Zeeman splitting of charged meson under magnetic fields. Especially it is noticed that the mass of spin component $s_z=1$ vector meson $\rho$ decreases linearly with $\omega$ and reaches zero at $\omega_c=m_\rho(\omega=0)$, this indicates the system will develop $s_z=1$ vector meson condensation and the system will be spontaneously spin polarized under rotation.