Nucleon Magnetic Moments and Electric Polarizabilities

TL;DR

This paper introduces a novel lattice QCD method to accurately determine nucleon magnetic moments and electric polarizabilities by addressing magnetic contributions in electric field simulations, applicable to both protons and neutrons.

Contribution

A new technique for extracting nucleon electromagnetic properties from lattice QCD that accounts for magnetic moment effects in electric field calculations.

Findings

Successfully extracted nucleon magnetic moments and electric polarizabilities.

Applied method to both proton and neutron using anisotropic clover lattices.

Demonstrated the method's effectiveness in lattice QCD simulations.

Abstract

Electromagnetic properties of the nucleon are explored with lattice QCD using a novel technique. Focusing on background electric fields, we show how the electric polarizability can be extracted from nucleon correlation functions. A crucial step concerns addressing contributions from the magnetic moment, which affects the relativistic propagation of nucleons in electric fields. By properly handing these contributions, we can determine both magnetic moments and electric polarizabilities. Lattice results from anisotropic clover lattices are presented. Our method is not limited to the neutron; we show results for the proton as well.