Properties of the Positronium Negative Ion Embedded in Non-ideal Classical Plasmas

Abstract

Properties of the positronium negative ion embedded in non-ideal classical plasmas have been studied theoretically. A pseudopotential, derived from a solution of Bogolyubov’s hierarchy equations, is used to describe the interaction potentials of the charged particles in the ion. A large basis set is employed in Rayleigh–Ritz variational method to compute accurately various quantities, such as binding energy, cusp values, annihilation rate, associated with the ground state of the ion. A detailed study is made on the effects of non-ideality of plasma on those quantities. In particular, special emphasis is given to determine the ranges of plasma screening parameters within which the ion remains stable.