Coulomb predissociation rates of He dµ molecular ions

Abstract

The predissociation or particle emitting decay rates of muonic molecular ions3He dµ and4He dµ are estimated by means of the complex rotation method. We use a highly accurate variational three-bodyP-wave function based on random-tempered Slater-type exponential expansion. A resonance eigenvalue ofE=−48.420 89 eV and γ=0.348 × 10−3 eV for the3He dµ ion and a resonance eigenvalue ofE=−58.225 303 eV and γ=0.118 × 10−3 eV for the4He dµ ion have been obtained. These results are in a good agreement with the ones previously obtained by Kino and Kamimura by scattering calculation with the non-adiabatic coupled-rearrangement-channel method.