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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10304 - Nuclear physics

Projekt

<a href="/cs/project/EF16_013%2F0001733" target="_blank" >EF16_013/0001733: Podzemní laboratoř LSM - česká účast ve výzkumné infrastruktuře evropského významu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

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

98

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

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Kód UT WoS článku

000454426500003

EID výsledku v databázi Scopus

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