Relativistic fine structure of the (He4,mu) ion 2p-levels

TL;DR

This paper presents a relativistic calculation of the 2p-level fine structure of the muonic He4 ion, aligning well with recent experimental measurements and extending previous theoretical approaches to different mass ranges.

Contribution

It introduces an independent relativistic two-body calculation method for muonic atoms, specifically applied to the He4 ion's 2p levels, expanding prior work to new mass regimes.

Findings

Theoretical results agree with recent experimental data.

The method extends previous models to different mass ranges.

Provides a new perspective on muonic atom fine structures.

Abstract

Motivated by the recent experimental measures of the 2p-states fine splitting of the muonic He4 ion [1], we think it may have some interest to present an independent calculation in terms of the two-body relativistic equation for a scalar and a fermion developed in [2,3] for mesic atoms. This work can thus be considered an addendum to these last papers in a different range for the masses of the two components. It gives theoretical results in good agreement with the recent experimental measures.