Averaged overall atomic electrons probability of positrons annihilation at β+-decay

Âderna Fìzika ta Energetika

S. N. Fedotkin¹ 

[1] Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine;

关键词: annihilation;    β+-decay;    atomic shell;    k-electron;    thomas - fermi approximation.;   

DOI  :  https://doi.org/10.15407/jnpae2020.01.005

来源: DOAJ

【 摘 要 】

An approximate method for calculating the probability of single-photon annihilation of a positron with an atomic electron at the β+-decay averaged over all electrons of the daughter atom is proposed. The electrons are described in the framework of the Thomas - Fermi statistical model. This approximation makes it easy the calculation of the average probabilities of various processes involving all the electrons of the atom. The total probability of single-photon annihilation is calculated using an approximate analytical expression for the atomic electrons’ density. A good agreement between the probabilities calculated in the proposed approach and the estimates obtained in the framework of quantum mechanics was obtained.

【 授权许可】

Unknown