Calculation of metastable states associated withdtμJνion using the variational method

Abstract

A series of metastable states below the $t\ensuremath{\mu}(2s)+d$ threshold have been discovered. The structure of the metastable $dt{\ensuremath{\mu}}_{J\ensuremath{\nu}}$ ion is studied here by the related suitable wave function and using the variational method. Few resonance energies and the related widths for $dt{\ensuremath{\mu}}_{J\ensuremath{\nu}}$ molecular states located below the $2s$ threshold are determined. For precise assessment of the reliability of the given wave function, the resonance formation rate is also calculated for the states which take place in the Vesman region. The obtained results are close to those previously reported and give strong indications that the related wave function is good enough to be useful for further calculations.