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

Bibliographic Details
Parent link:Soviet Physics Journal
Vol. 33, iss. 5.— 1990.— [С. 423-426]
Main Author: Arefyev (Afef'ev, Arefiev) K. P. Konstantin Petrovich
Other Authors: Prokop'ev Е. П.
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
Published: 1990
Subjects:
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

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200 1 |a Positron annihilation in ionic media and an optical model of the positron  |f K. P. Arefyev (Afef'ev, Arefiev), Е. П. Prokop'ev 
203 |a Text  |c electronic 
300 |a Title screen 
320 |a [Ref.: p. 426 (6 tit.)] 
330 |a 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. 
333 |a Режим доступа: по договору с организацией-держателем ресурса 
461 |t Soviet Physics Journal 
463 |t Vol. 33, iss. 5  |v [С. 423-426]  |d 1990 
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610 1 |a расчеты 
610 1 |a волновая функция 
700 1 |a Arefyev (Afef'ev, Arefiev)  |b K. P.  |c physicist  |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences  |c A Corresponding Member of Russian Academy of Natural Sciences (RANS/RAEN)  |f 1947-  |g Konstantin Petrovich  |3 (RuTPU)RU\TPU\pers\29714  |9 14208 
701 1 |a Prokop'ev  |b Е. П. 
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