Universal Binding and Recoil Corrections to Bound State $g$-Factors

TL;DR

This paper calculates universal relativistic and recoil corrections to bound state g-factors for particles of any spin, showing these corrections depend only on free particle gyromagnetic ratios and developing a generalized NRQED framework.

Contribution

It introduces a universal approach to bound state g-factor corrections for arbitrary spin particles using a generalized NRQED and Lorentz invariance principles.

Findings

Corrections are universal across spins, depending only on free gyromagnetic ratios.

NRQED for arbitrary spin particles is developed based on Lorentz invariance.

Universality explained via the Bargmann-Michel-Telegdi equation.

Abstract

The leading relativistic and recoil corrections to bound state $g$-factors of particles with arbitrary spin are calculated. It is shown that these corrections are universal for any spin and depend only on the free particle gyromagnetic ratios. To prove this universality we develop NRQED for charged particles with an arbitrary spin. The coefficients in the NRQED Hamiltonian for higher spin particles are determined only by the requirements of Lorentz invariance and local charge conservation in the respective relativistic theory. For spin one charged particles the NRQED Hamiltonian follows from the renormalizable QED of the charged vector bosons. We show that universality of the leading relativistic and recoil corrections can be explained with the help of the Bargmann-Michael-Telegdi equation.