# Nucleon Magnetic Properties from Lattice QCD with the Background Field Method

## TL;DR

This paper uses lattice QCD with a background magnetic field to compute the neutron and proton magnetic moments and polarisabilities, exploring methods to isolate these properties accurately from lattice data.

## Contribution

It introduces a novel approach to extract magnetic properties from lattice QCD by accounting for Landau levels and optimizing correlation function combinations.

## Key findings

- Effective energy shifts help isolate magnetic moments and polarisabilities.
- Methods successfully distinguish Landau level effects in lattice data.
- Results provide improved estimates of nucleon magnetic properties.

## Abstract

The magnetic moment and magnetic polarisability of the neutron and proton are investigated using the uniform background-field method and lattice QCD. The results are calculated using 32^3 x 64 dynamical QCD lattices provided by the PACS-CS collaboration through the ILDG. Methods of isolating the energy of the hadrons accounting for Landau level energies are explored. Effective energy shifts are formed from combinations of correlation functions and their efficiency in isolating the magnetic moment and polarisability terms is determined.