Positron annihilation in ionic media and an optical model of the positron
| Parent link: | Soviet Physics Journal Vol. 33, iss. 5.— 1990.— [С. 423-426] |
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| Summary: | Title screen 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-?/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 ?X(r) = l/v4p·Anx·rX·e-ar. Thus the validity of selecting a test variation positron wave function ?(r) = l/v4p·A·r·e-ar is demonstrated for the potential Veff = 8 at r = 0 and Veff = -?/r for r > 0 (Gol'danskii-Prokop'ev optical positron model, Fiz. Tverd. Tela,8, 515 (1966)), belonging to the class of functions ?X(r). Having the wave function ?X(r) and Slater wave functions ?ns,p(r) of the electrons, annihilation photon angular distribution (APAD) curves are calculated, together with halfwidths of the APAD curves and positron lifetimes tns,p. Режим доступа: по договору с организацией-держателем ресурса |
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1990
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| Online Access: | http://dx.doi.org/10.1007/BF00896082 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=655615 |
| Summary: | Title screen 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-?/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 ?X(r) = l/v4p·Anx·rX·e-ar. Thus the validity of selecting a test variation positron wave function ?(r) = l/v4p·A·r·e-ar is demonstrated for the potential Veff = 8 at r = 0 and Veff = -?/r for r > 0 (Gol'danskii-Prokop'ev optical positron model, Fiz. Tverd. Tela,8, 515 (1966)), belonging to the class of functions ?X(r). Having the wave function ?X(r) and Slater wave functions ?ns,p(r) of the electrons, annihilation photon angular distribution (APAD) curves are calculated, together with halfwidths of the APAD curves and positron lifetimes tns,p. Режим доступа: по договору с организацией-держателем ресурса |
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| DOI: | 10.1007/BF00896082 |