Calculation of binding energy for nonsymmetric muonic helium hydride ions in the hyperspherical approach

Abstract

Symmetric and nonsymmetric muonic three-body systems have been predicted to form in collisions between muonic atoms and hydrogen molecules. The hyperspherical adiabatic expansion is a representation for the investigation of muonic three-body bound states. In this research we have used hyperspherical ``surface'' functions for muonic helium hydride ions (isotopes of helium-tritium-muon molecules). Through this approach, the binding energy and lowest eigenpotentials for the muonic molecular ions are calculated in an extreme adiabatic approximation. The obtained results are close to the calculations of others.