### Abstract

It is proposed that positron motion in quasiatomic positron + anion systems formed in anionic media can be described by a potential of the form V_{eff}(r) = Z_{eff}/r^{2}-η/r, where Z_{eff} is the "effective" charge of the nucleus, and n is the effective charge of the anion. It is shown that the positron wave function of the ground state of the quasiatomic positron + anion system in the field of such a potential is ψ_{X}(r) = l/√4π·A_{nx}·r^{X}·e^{-ar}. Thus the validity of selecting a test variation positron wave function ψ(r) = l/√4π·A·r·e^{-ar} is demonstrated for the potential V_{eff} = ∞ at r = 0 and V_{eff} = -η/r for r > 0 (Gol'danskii-Prokop'ev optical positron model, Fiz. Tverd. Tela, 8, 515 (1966)), belonging to the class of functions ψ_{X}(r). Having the wave function ψ_{X}(r) and Slater wave functions ψ_{ns},p(r) of the electrons, annihilation photon angular distribution (APAD) curves are calculated, together with halfwidths of the APAD curves and positron lifetimes τ_{ns,p}.

Original language | English |
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Pages (from-to) | 423-426 |

Number of pages | 4 |

Journal | Soviet Physics Journal |

Volume | 33 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Soviet Physics Journal*,

*33*(5), 423-426. https://doi.org/10.1007/BF00896082