Exchange correction for allowed β decay
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F23%3A00366900" target="_blank" >RIV/68407700:21670/23:00366900 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevC.107.025501" target="_blank" >https://doi.org/10.1103/PhysRevC.107.025501</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevC.107.025501" target="_blank" >10.1103/PhysRevC.107.025501</a>
Alternative languages
Result language
angličtina
Original language name
Exchange correction for allowed β decay
Original language description
We investigate the exchange effect between the final atom's bound electrons and those emitted in the allowed beta decay of the initial nucleus. The electron wave functions are obtained with the Dirac-Hartree-Fock-Slater self-consistent method, and we ensure the orthogonality between the continuum and bound electron states, in the potential of the final atom, by modifying the last iteration of the self-consistent method. We show that orthogonality plays an essential role in calculating the exchange correction. After imposing the orthogonality, we found considerable differences in magnitude and energy dependence compared to previous results. We argue that our findings can solve the mismatch between the previous predictions and experimental measurements in the low-energy region of the beta spectrum. First, we calculate the exchange effect for the low-energy beta transitions in 14C, 45Ca, 63Ni, and 241Pu, recently investigated in the literature. Next, we compute the total exchange correction for a large number of beta emitters with Z from 1 to 102. From the systematic study, we found that for ultralow energy, i.e., 5 eV, the Z dependence of the total exchange effect is affected by s1/2 and p1/2 orbitals closure. We also show that the contributions from orbitals higher than the 2s1/2 orbital are essential for correctly calculating the total effect, especially for low energies and heavy beta emitters. Finally, we provide an analytical expression of the total exchange correction for each atomic number for easy implementation in experimental investigations.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10304 - Nuclear physics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000766" target="_blank" >EF16_019/0000766: Engineering applications of microworld physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW C
ISSN
2469-9985
e-ISSN
2469-9993
Volume of the periodical
107
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
1-12
UT code for WoS article
000981846300003
EID of the result in the Scopus database
2-s2.0-85149701052