Precise nonvariational calculation of the positronium negative ion

M. I. Haftel*, V. B. Mandelzweig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

The three-body Schrödinger equation is solved directly for the ground state of the positronium negative ion by using a rapidly convergent correlation function hyperspherical harmonic method, which involves no adjustable parameters. The inclusion of 169 hyperspherical functions yields the ground-state energy 0.262 004 86 a.u., which is converged to an error in the seventh significant figure. Expectation values of different functions of interparticle distances as well as the two-photon annihilation rate are calculated and compared with those obtained by variational calculations.

Original languageEnglish
Pages (from-to)2813-2816
Number of pages4
JournalPhysical Review A
Volume39
Issue number6
DOIs
StatePublished - 1989

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