论文标题
旋转下的载体介子和自发旋转极化的质量分裂
Mass splitting of vector meson and spontaneous spin polarization under rotation
论文作者
论文摘要
在本文中，我们研究了旋转对2Floving Nambu-Jona-Jona-Lasinio模型框架中标量介子质量以及矢量介子的影响。旋转的存在导致乏味的夸克繁殖器和相应的极化函数。应用随机相近似，用数值计算介子质量。发现在角速度$ω$下，标量和伪尺度介子质量的行为与有限的化学势相似，都依赖于组成夸克质量的行为，并反映了与手性对称性相关的特性。但是，大量的媒介介子$ρ$与旋转具有更深远的关系。经过繁琐的计算后，事实证明，在旋转下的旋转组件$ s_z = 0，\ pm 1 $ 1 $的质量显示出非常简单的质量分配关系$m_ρ^{s_z}（ω）=m_ρ（ω= 0）-ΩS_Z$，类似于ZeememememememememememEn promptions，特别是注意到，旋转组件的质量$ s_z = 1 $ vector Meson $ρ$以$ω$线性降低，并在$ω_c=m_ρ（ω= 0）$中达到零，这表明系统将开发$ s_z = 1 $ vector Meson凝结，系统将自发旋转旋转旋转。
In the present paper, 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. The existence of rotation causes a tedious quark propagator and corresponding polarization function. 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 $ω$ is similar to that at finite chemical potential, both rely on the behavior of constituent quark mass and reflect the property related to the chiral symmetry. However, masses of vector meson $ρ$ have more profound relation with rotation. After tedious calculation, it turns out that at low temperature and small chemical potenial, the mass for spin component $s_z=0,\pm 1$ of vector meson under rotation shows very simple mass splitting relation $m_ρ^{s_z}(ω)=m_ρ(ω=0)-ωs_z$, 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 $ρ$ decreases linearly with $ω$ and reaches zero at $ω_c=m_ρ(ω=0)$, this indicates the system will develop $s_z=1$ vector meson condensation and the system will be spontaneously spin polarized under rotation.
