Averaged overall atomic electrons probability of positrons annihilation at β+-decay
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 approxima...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Institute for Nuclear Research, National Academy of Sciences of Ukraine
2020-03-01
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| Series: | Ядерна фізика та енергетика |
| Subjects: | |
| Online Access: | http://jnpae.kinr.kiev.ua/21.1/html/21.1.0005.html |
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| Summary: | 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. |
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| ISSN: | 1818-331X 2074-0565 |