Investigation of the cause of the discrepancies between calculated running sums for nuclear matrix elements of two-neutrino double-β decay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F23%3A00366893" target="_blank" >RIV/68407700:21670/23:00366893 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevC.108.014301" target="_blank" >https://doi.org/10.1103/PhysRevC.108.014301</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevC.108.014301" target="_blank" >10.1103/PhysRevC.108.014301</a>

Result language
angličtina
Original language name
Investigation of the cause of the discrepancies between calculated running sums for nuclear matrix elements of two-neutrino double-β decay
Original language description
A qualitative difference in the running sum for the nuclear matrix element of the two-neutrino double-β decay of 136Xe was found four years ago between quasiparticle random-phase approximation (QRPA) and shell model calculations. The former result has large increase and decrease with respect to the excitation energy of the intermediate state, and the latter one is an almost monotonically and mildly increasing function. My QRPA calculations independently of the above one do not have a remarkable decrease. This discrepancy is a serious problem affecting the reliability of calculations of the neutrinoless double-β decay, and the cause was unknown. I perform several relevant test calculations and make an analytical consideration to find the cause, which is found to be in the strength of the attractive interactions. The possible major local decrease in the running sum is also explained analytically. The interactions of my QRPA calculation are appropriate in terms of the strength, thus the almost monotonic behavior is reasonable.
Czech name
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Czech description
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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

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

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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