Hyperfine structure splitting of the bound $S(L = 0)-$states in the symmetric muonic molecular ions

TL;DR

This paper calculates the hyperfine structure splittings of all bound S-states in symmetric muonic molecular ions, using highly accurate interparticle delta-function expectation values.

Contribution

It provides the first comprehensive determination of hyperfine splittings for all S-states in $ppm$ and similar muonic ions, utilizing recent precise computations.

Findings

Hyperfine splittings for all five S-states in three muonic ions are determined.

Highly accurate expectation values of interparticle delta-functions are used.

Results enhance understanding of muonic molecular ion structures.

Abstract

The hyperfine structure splittings are determined for all five bound $S(L = 0)-$states in the three symmetric muonic molecular ions: $pp\mu, dd\mu$ and $tt\mu$. The expectation values of all interparticle delta-functions used in our calculations have been determined in recent highly accurate computations.