Exchange correction for allowed β decay

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Exchange correction for allowed β decay

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Exchange correction for allowed β decay

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10304 - Nuclear physics

Projekt

<a href="/cs/project/EF16_019%2F0000766" target="_blank" >EF16_019/0000766: Inženýrské aplikace fyziky mikrosvěta</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICAL REVIEW C

ISSN

2469-9985

e-ISSN

2469-9993

Svazek periodika

107

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

1-12

Kód UT WoS článku

000981846300003

EID výsledku v databázi Scopus

2-s2.0-85149701052