Hyperfine structure of P-states in muonic deuterium

TL;DR

This paper calculates the hyperfine structure intervals of P-states in muonic deuterium using quantum electrodynamics, incorporating various corrections, to aid in analyzing experimental data from the CREMA collaboration.

Contribution

It introduces a tensor projection operator method for calculating hyperfine structures in muonic deuterium, including higher-order corrections.

Findings

Calculated hyperfine splitting intervals for 2P states in muonic deuterium.

Provided numerical values for hyperfine splittings relevant to experimental analysis.

Enhanced theoretical framework for hyperfine structure calculations in muonic atoms.

Abstract

On the basis of quasipotential approach to the bound state problem in quantum electrodynamics we calculate hyperfine structure intervals Delta E^{hfs}(2P_{1/2}) and Delta E^{hfs}(2P_{3/2}) for P-states in muonic deuterium. The tensor method of projection operators for the calculation of the hyperfine structure of P-states with definite quantum numbers of total atomic momentum F and total muon momentum j in muonic deuterium is formulated. We take into account vacuum polarization, relativistic, quadrupole and structure corrections of orders alpha^4, alpha^5 and alpha^6. The obtained numerical values of hyperfine splittings are useful for the analysis of new experimental data of the CREMA collaboration regarding to muonic deuterium.