ENHANCEMENT OF POSITRON-ANNIHILATION WITH CORE ELECTRONS

被引:72
作者
BONDERUP, E [1 ]
ANDERSEN, JU [1 ]
LOWY, DN [1 ]
机构
[1] UNIV NEW S WALES,DEPT THEORET PHYS,KENSINGTON 2033,NEW S WALES,AUSTRALIA
来源
PHYSICAL REVIEW B | 1979年 / 20卷 / 03期
关键词
D O I
10.1103/PhysRevB.20.883
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A theoretical treatment is presented of the enhancement of positron annihilation with core electrons in a solid. A first estimate is obtained from the simple result for Coulomb scattering of a single positron-electron pair. For relative velocity v large compared to the Bohr velocity v0=e2 the enhancement is small, being given approximately by χ-1=πv0v, where χ is the enhancement factor. Since core electrons typically have velocities much larger than v0, the enhancement for core annihilation is expected to be small. Modifications due to the fact that the electron is embedded in a system of interacting electrons bound to an atomic nucleus are estimated from calculations partly for an electron gas of high density, and partly for a single electron closely bound to a nucleus. The enhancement is found to be similar to the result for a single, free electron but somewhat reduced in magnitude mainly due to the Pauli exclusion principle. Quantitative estimates of the small enhancement are derived for the core contribution to both the total and the momentum-dependent annihilation rates. The enhancements are much smaller than obtained in earlier treatments, and they lead to corrections for core annihilation which are significantly smaller than those derived from semiempirical estimates. © 1979 The American Physical Society.
引用
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页码:883 / 899
页数:17
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