Vector $K^{*}$ mesons in external magnetic field from SU(3) gluodynamics

TL;DR

This study investigates the magnetic properties of vector $K^{*}$ mesons in external magnetic fields using lattice QCD with overlap fermions, revealing their energy dependence, polarizability, and magnetic moments, and how these vary with quark mass ratios.

Contribution

It provides the first calculation of magnetic moments and dipole polarizabilities of $K^{*}$ mesons in external magnetic fields from SU(3) gluodynamics, including their dependence on quark mass ratios.

Findings

Ground state energy depends on meson spin projection.

Magnetic dipole polarizability varies with spin orientation.

No evidence of tachyonic modes for strange vector mesons.

Abstract

We explore the ground state energies of the neutral and charged vector $K^{*}$ mesons in the external abelian magnetic field of QCD scale using overlap fermions. We attempt to calculate the magnetic moment and the magnetic dipole polarizability of the $K^{*0}$ and $\bar{K}^{*0}$ mesons and investigate their dependence on the ratio of the strange quark mass to the light quark mass. It is found that the ground state energy and the magnetic dipole polarizability depends on the meson spin projection on the magnetic field axis. This leads to the appearance of dileptonic asymmetry, which can be characterized by the tensor polarizability estimated for the $K^{*0}$ mesons. We obtain that the $g$-factor of the vector $K^{*\pm}$ mesons depends on the $m_s/m_u$ value. Also we do not observe any evidence of the tachyon mode existence for the strange vector mesons.