0v beta beta and 2v beta beta nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F18%3A00330491" target="_blank" >RIV/68407700:21670/18:00330491 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevC.98.064325" target="_blank" >http://dx.doi.org/10.1103/PhysRevC.98.064325</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevC.98.064325" target="_blank" >10.1103/PhysRevC.98.064325</a>

Result language
angličtina
Original language name
0v beta beta and 2v beta beta nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry
Original language description
The intimate relation between the Gamow-Teller part of the matrix element M-GT(0V) and the 2v beta beta closure matrix element M-cl(2V) is explained and explored. If the corresponding radial dependence C-cl(2v) (r) would be known, M-0v corresponding to any mechanism responsible for the 0v beta beta decay can be obtained as a simple integral. However, the M-cl(2v) values, and therefore also the functions C-cl(2v)(r), sensitively depend not only on the properties of the first few 1(+) states but also of higher-lying 1(+) states in the intermediate odd-odd nuclei. We show that the beta(-) and beta(+) amplitudes of such states typically have opposite relative signs, and their contributions reduce severally the M-cl(2V) values. We suggest that demanding that M-cl(2V) = 0 is a sensible alternative way, within the QRPA method, of determining the amount of renormalization of isoscalar particle-particle interaction strength g(pp)(T=0) Using such prescription, the matrix elements M-0v are evaluated; their values are not very different (<= 20%) from the usual QRPA values when g(pp)(T=0) is related to the known 2v beta beta half-lives. We note that vanishing values of M-cl(2V) are signs of a partial restoration of the spin-isospin SU(4) symmetry.
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_013%2F0001733" target="_blank" >EF16_013/0001733: Underground laboratory LSM - Czech participation to European-level research</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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