2020/11/22 by Minghua Wei, Wei, Minghua, Yin Jiang +3 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2011.10987
openalex publication_date 2020/11/22 · openalex created_date 2020/12/07 · openalex updated_date 2026/07/28
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 sz=0,± 1 of vector meson under rotation shows very simple mass splitting relation mρsz(ω)=mρ(ω=0)-ωsz, similar to the Zeeman splitting of charged meson under magnetic fields. Especially it is noticed that the mass of spin component sz=1 vector meson ρ decreases linearly with ω and reaches zero at ωc=mρ(ω=0), this indicates the system will develop sz=1 vector meson condensation and the system will be spontaneously spin polarized under rotation.