Magnetic moments of mesons

TL;DR

This paper calculates the magnetic moments of various mesons using a relativistic Hamiltonian approach, showing good agreement with lattice data and expressing moments through fundamental quark and QCD parameters.

Contribution

It introduces a method to compute meson magnetic moments from a relativistic Hamiltonian derived via the path integral approach, linking moments to fundamental QCD quantities.

Findings

Magnetic moments expressed via average quark energies and fundamental parameters.

Results agree well with existing lattice QCD data.

Applicable to vector, axial, and tensor light and K mesons.

Abstract

Magnetic moments of charged and neutral mesons are calculated with the use of the relativistic Hamiltonian derived from the path integral form of the $q_1\bar q_2$ Green's function. The magnetic moments are shown to be expressed via the average quark energies which are defined by the fundamental quantities: the string tension $\sigma$, the current quark masses, and the strong coupling constant $\alpha_s$. Resulting values for vector, axial, and tensor light and $K$ mesons agree well with all available lattice data.