Magnetic moments of vector, axial, and tensor mesons in lattice QCD

TL;DR

This paper calculates the magnetic moments of certain spin-1 mesons using lattice QCD techniques, applying small magnetic fields and measuring mass shifts to determine magnetic properties.

Contribution

It introduces a lattice QCD method for computing meson magnetic moments via magnetic field-induced mass shifts, comparing results with form factor methods.

Findings

Magnetic moments of selected mesons were successfully computed.

Results are consistent with existing form factor calculations where available.

The method demonstrates a viable approach for magnetic property calculations in lattice QCD.

Abstract

We present a calculation of magnetic moments for selected spin-1 mesons using the techniques of lattice QCD. This is carried out by introducing progressively small static magnetic field on the lattice and measuring the linear response of a hadron's mass shift. The calculations are done on $24^4$ quenched lattices using standard Wilson actions, with $\beta$=6.0 and pion mass down to 500 MeV. The results are compared to those from the form factor method where available.