Magnetic properties of the nucleon in a uniform background field

TL;DR

This paper calculates the magnetic moments and polarisabilities of nucleons using lattice QCD with a uniform background magnetic field, improving analysis techniques for better accuracy.

Contribution

It introduces enhanced methods for extracting magnetic properties of nucleons from lattice QCD data, including correlation matrix techniques with different source smearings.

Findings

Calculated neutron magnetic moment and polarisability.

Determined proton magnetic moment.

Improved effective energy plot techniques.

Abstract

We present results for the magnetic moment and magnetic polarisability of the neutron and the magnetic moment of the proton. These results are calculated using the uniform background field method on 32^3 x 64 dynamical QCD lattices provided by the PACS-CS collaboration as part of the ILDG. We use a uniform background magnetic field quantised by the periodic spatial volume. We investigate ways to improve the effective energy plots used to calculate magnetic polarisabilities, including the use of correlation matrix techniques with various source smearings.