Rotation effect on the spectral function of heavy vector mesons in holographic QCD

Abstract

Exploring heavy vector mesons of the $ J / \psi$ and $ \Upsilon ( 1 S )$ is crucial for understanding the quark gluon plasma (QGP) formed in heavy ion collisions. The influences of rotational effect on the properties of the $ J / \psi$ and the $ \Upsilon ( 1 S )$ are investigated by incorporating rotation medium into the holographic QCD. It is found that temperature, chemical potential, and rotational radius effects enhance the dissociation process of the $ J / \psi$ and the $ \Upsilon ( 1 S )$ states within the medium. This rotation-induced effect is more significant for heavy vector mesons in the transverse direction than that of the longitudinal direction. The first holographic study on the influence of the radius of a homogeneous rotating system on the vector meson spectrum is proposed. It is found that increasing in rotation radius promotes the dissociation of vector mesons of the $ J / \psi$ and $ \Upsilon ( 1 S )$. We also find that the dissociation perpendicular to the direction of rotational angular velocity is more significant than that parallel to it at large rational radius.