DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY
- NázevTitle
- DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORYDOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- D. Stefanik, F. Šimkovic
- Klíčová slovaKeywords
- two-neutrino double beta decay, nuclear matrix element, SO(5) model
- Časopis / citaceJournal / citation
- ROMANIAN JOURNAL OF PHYSICS 58(9-10), 1251-1257 (2013) · ISSN 1221-146X
- RokYear
- 2013
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Příspěvek k rozšíření velké výzkumné infrastruktury evropského významuContribution of the Czech Republic to the extension of the large research infrastructure of European importance
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
The amplitude for double-beta decay with two-neutrino emission is related to beta(-) and beta(+) transitions of Fermi and Gamow-Teller type connecting ground state of initial and final nuclei with virtual intermediate nuclear states. The suppression of double Fermi and Gamow-Teller matrix elements has origin in violation of the isospin SU(2) and spin-isospin SU(4) symmetries, respectively. We study double Fermi matrix elements within an exactly solvable model. By using perturbation theory up to the first order a dependence of the two-neutrino double beta decay matrix element on the like-nucleon pairing, particle-particle and particle-hole proton-neutron interactions by assuming a weak violation of isospin symmetry of Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of transition through a single state of the intermediate nucleus.
The amplitude for double-beta decay with two-neutrino emission is related to beta(-) and beta(+) transitions of Fermi and Gamow-Teller type connecting ground state of initial and final nuclei with virtual intermediate nuclear states. The suppression of double Fermi and Gamow-Teller matrix elements has origin in violation of the isospin SU(2) and spin-isospin SU(4) symmetries, respectively. We study double Fermi matrix elements within an exactly solvable model. By using perturbation theory up to the first order a dependence of the two-neutrino double beta decay matrix element on the like-nucleon pairing, particle-particle and particle-hole proton-neutron interactions by assuming a weak violation of isospin symmetry of Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of transition through a single state of the intermediate nucleus.