Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium

TL;DR

This paper calculates vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium using quantum electrodynamics, providing results to improve transition frequency measurements.

Contribution

It introduces a detailed calculation of vacuum polarization and quadrupole corrections in hyperfine structure of muonic deuterium's P-states, including analytical and numerical evaluations.

Findings

Corrections are expressed in integral form and evaluated analytically.

Results can refine transition frequency measurements between 2P and 2S levels.

Provides a basis for more precise spectroscopic experiments.

Abstract

On the basis of quasipotential approach in quantum electrodynamics we calculate vacuum polarization and quadrupole corrections in first and second orders of perturbation theory in hyperfine structure of P-states in muonic deuterium. All corrections are presented in integral form and evaluated analytically and numerically. The obtained results can be used for the improvement of the transition frequencies between levels 2P and 2S.