Mass corrections for the bound states in the muonic molecular ions

TL;DR

This paper calculates precise mass corrections for the energies of bound states in various muonic molecular ions using highly accurate numerical methods and the latest particle mass data.

Contribution

It provides the first high-precision numerical determination of mass corrections for bound states in muonic molecular ions, incorporating the most recent particle mass measurements.

Findings

Mass corrections are quantitatively determined for multiple muonic molecular ions.

Total energies and bound state properties are computed with high accuracy.

Results improve the precision of theoretical predictions for these ions.

Abstract

The mass corrections to the bound state energies of the three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$ are determined numerically from the results of highly accurate computations. The total energies and some other bound state properties of these ions are evaluated to very high accuracy for the bound $S(L = 0)-, P(L = 1)-$ and $D(L = 2)-$states. In these highly accurate calculations we used the most recent and accurate masses of particles $m_p, m_d, m_t$ and $m_{\mu}$ known from high energy experiments.