Bound state spectra of three-body muonic molecular ions

TL;DR

This paper presents highly accurate calculations of all bound states in six three-body muonic molecular ions, analyzing their properties and energy dependence on particle masses, with implications for muon-catalyzed nuclear fusion.

Contribution

It provides the first comprehensive high-precision calculation of all bound states in these six muonic molecular ions, including their properties and mass dependence.

Findings

Accurate energies for 22 bound states across six muonic ions.

Analysis of energy dependence on particle masses.

Discussion on muon-catalyzed fusion relevance.

Abstract

The results of highly accurate calculations are presented for all twenty-two known bound $S(L = 0)-, P(L = 1)-, D(L = 2)-$ and $F(L = 3)-$states in the six three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$. A number of bound state properties of these muonic molecular ions have been determined numerically to high accuracy. The dependence of the total energies of these muonic molecules upon particle masses is considered. We also discuss the current status of muon-catalysis of nuclear fusion reactions.