### 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

**Positron annihilation in ionic media and an optical model of the positron.** / Aref'ev, K. P.; Prokop'ev, E. P.

Research output: Contribution to journal › Article

*Soviet Physics Journal*, vol. 33, no. 5, pp. 423-426. https://doi.org/10.1007/BF00896082

}

TY - JOUR

T1 - Positron annihilation in ionic media and an optical model of the positron

AU - Aref'ev, K. P.

AU - Prokop'ev, E. P.

PY - 1990/5

Y1 - 1990/5

N2 - It is proposed that positron motion in quasiatomic positron + anion systems formed in anionic media can be described by a potential of the form Veff(r) = Zeff/r2-η/r, where Zeff 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 ψX(r) = l/√4π·Anx·rX·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 Veff = ∞ at r = 0 and Veff = -η/r for r > 0 (Gol'danskii-Prokop'ev optical positron model, Fiz. Tverd. Tela, 8, 515 (1966)), belonging to the class of functions ψX(r). Having the wave function ψX(r) and Slater wave functions ψns,p(r) of the electrons, annihilation photon angular distribution (APAD) curves are calculated, together with halfwidths of the APAD curves and positron lifetimes τns,p.

AB - It is proposed that positron motion in quasiatomic positron + anion systems formed in anionic media can be described by a potential of the form Veff(r) = Zeff/r2-η/r, where Zeff 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 ψX(r) = l/√4π·Anx·rX·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 Veff = ∞ at r = 0 and Veff = -η/r for r > 0 (Gol'danskii-Prokop'ev optical positron model, Fiz. Tverd. Tela, 8, 515 (1966)), belonging to the class of functions ψX(r). Having the wave function ψX(r) and Slater wave functions ψns,p(r) of the electrons, annihilation photon angular distribution (APAD) curves are calculated, together with halfwidths of the APAD curves and positron lifetimes τns,p.

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U2 - 10.1007/BF00896082

DO - 10.1007/BF00896082

M3 - Article

VL - 33

SP - 423

EP - 426

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 5

ER -