Hyperfine structure splitting of the ground states in the $pd\mu, pt\mu$ and $dt\mu$ ions

TL;DR

This paper calculates the hyperfine structure splittings of ground states in $pdm$, $ptm$, and $dtm$ ions using precise expectation values, providing results that can be experimentally verified.

Contribution

The study provides highly accurate calculations of hyperfine splittings in specific muonic molecular ions using advanced expectation value computations.

Findings

Hyperfine splittings for $ptm$ ions are quantified.

Results are precise and experimentally measurable.

Provides data for future experimental verification.

Abstract

The hyperfine structure splittings of the ground states of the $pd\mu, pt\mu$ and $dt\mu$ ions are determined with the use of highly accurate expectation values of the interparticle delta-functions obtained in recent computations. The corresponding hyperfine structure splittings, e.g., $\Delta_{12} =$ 1.3400149$\cdot 10^7$ $MHz$ and $\Delta_{23} =$ 3.3518984$\cdot 10^7$ $MHz$ for the $pt\mu$ ion, can directly be measured in modern experiments.