Properties of Positronium Hydride

Abstract

The properties of the bound ground state composed of a hydrogen (p+e−) and a positronium (e+e−) (positronium hydride (PsH)) have been determined using the variational method in the Gaussian basis. Using significantly accurate wave function, the calculation of non-relativistic ground state energy of (PsH), the expectation values of inter-particle distances and their squares, and the two-,three- and four particles coalescence probabilities are calculated. The expectation value of two-particles delta function converges slowly if we calculate it directly. Drachman proposed very important identities that ensures the convergence of this two-particle delta function even with small set of basis. We used these identities to determine the values of different two-particle delta functions by using the Gaussian wave functions for the ground state with 1000 basis. We find that for 1000 basis our results matches with the reported values in the literature.