Bound-state properties of negatively charged hydrogenlike ions

TLDR: The results of high-precision, variational, bound-state calculations for the ground state in the negatively charged hydrogen-like ions are presented in this paper, where the mass dependence for various properties is studied.

Abstract: The results of high-precision, variational, bound-state calculations for the ground state in the negatively charged hydrogenlike ions ${}^{\ensuremath{\infty}}{\mathrm{H}}^{\mathrm{\ensuremath{-}}}{,\mathrm{}\mathrm{T}}^{\mathrm{\ensuremath{-}}}{,\mathrm{}\mathrm{D}}^{\mathrm{\ensuremath{-}}},$ ${}^{1}{\mathrm{H}}^{\ensuremath{-}},$ and ${\mathrm{Mu}}^{\ensuremath{-}}$ are presented. The mass dependence for various properties is studied. The results are formulated in the form of relatively simple analytical expressions. The probabilities of finding the final He atom in its ground and low-lying excited states (after the nuclear ${\ensuremath{\beta}}^{\ensuremath{-}}$ decay in the ${T}^{\ensuremath{-}}$ ion) have been determined numerically. It is shown that the total ionization probability has a very large value (\ensuremath{\approx}30%). A possible explanation may include the spin conversion between the ${\ensuremath{\beta}}^{\ensuremath{-}}$ particle and remaining ${}^{3}\mathrm{He}$ atom. This means that the final ${}^{3}\mathrm{He}$ atom can be found not only in its singlet states, but also in the triplet states.