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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| Format: | Article |
| Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2020-03-01
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| Series: | Ядерна фізика та енергетика |
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| Online Access: | http://jnpae.kinr.kiev.ua/21.1/html/21.1.0005.html |
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| _version_ | 1849471527999766528 |
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| author | S. N. Fedotkin |
| author_facet | S. N. Fedotkin |
| author_sort | S. N. Fedotkin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d2bd0b0fdfec443196ef4403affd7d6e |
| institution | Kabale University |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-d2bd0b0fdfec443196ef4403affd7d6e2025-08-20T03:24:48ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652020-03-01211512https://doi.org/10.15407/jnpae2020.01.005Averaged overall atomic electrons probability of positrons annihilation at β+-decayS. N. Fedotkin0Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineAn 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.http://jnpae.kinr.kiev.ua/21.1/html/21.1.0005.htmlannihilationβ+-decayatomic shellk-electronthomas - fermi approximation. |
| spellingShingle | S. N. Fedotkin Averaged overall atomic electrons probability of positrons annihilation at β+-decay Ядерна фізика та енергетика annihilation β+-decay atomic shell k-electron thomas - fermi approximation. |
| title | Averaged overall atomic electrons probability of positrons annihilation at β+-decay |
| title_full | Averaged overall atomic electrons probability of positrons annihilation at β+-decay |
| title_fullStr | Averaged overall atomic electrons probability of positrons annihilation at β+-decay |
| title_full_unstemmed | Averaged overall atomic electrons probability of positrons annihilation at β+-decay |
| title_short | Averaged overall atomic electrons probability of positrons annihilation at β+-decay |
| title_sort | averaged overall atomic electrons probability of positrons annihilation at β decay |
| topic | annihilation β+-decay atomic shell k-electron thomas - fermi approximation. |
| url | http://jnpae.kinr.kiev.ua/21.1/html/21.1.0005.html |
| work_keys_str_mv | AT snfedotkin averagedoverallatomicelectronsprobabilityofpositronsannihilationatbdecay |