Nucleon in a periodic magnetic field
Andria Agadjanov, Ulf-G. Mei{\ss}ner, Akaki Rusetsky
TL;DR
This paper calculates the second-order energy shift of a nucleon in a periodic magnetic field to help determine a key subtraction function in virtual Compton scattering, with implications for lattice QCD measurements.
Contribution
It provides a perturbative formula linking nucleon energy shifts in magnetic fields to the subtraction function in Compton scattering, expanding theoretical tools for lattice QCD.
Findings
Derived a second-order energy shift formula for nucleons in magnetic fields
Showed how lattice measurements can determine the subtraction function
Discussed the applicability limits of the derived formula
Abstract
The energy shift of a nucleon in a static periodic magnetic field is evaluated at second order in the external field strength in perturbation theory. It is shown that the measurement of this energy shift on the lattice allows one to determine the unknown subtraction function in the forward doubly virtual Compton scattering amplitude. The limits of applicability of the obtained formula for the energy shift are discussed.
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