Two-neutrino double-beta decay Fermi transition and two-nucleon interaction
- NázevTitle
- Two-neutrino double-beta decay Fermi transition and two-nucleon interactionTwo-neutrino double-beta decay Fermi transition and two-nucleon interaction
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- D. Štefánik, F. Šimkovic, K. Muto, A. Faessler
- DOIDOI
- 10.1103/PhysRevC.88.025503
- Časopis / citaceJournal / citation
- Physical Review C. 2013, 88(2), ISSN 0556-2813.
- RokYear
- 2013
- JazykLanguage
- eng
- WoSWoS
- 000323609300006
- ScopusScopus
- 2-s2.0-84884228503
- RIVRIV
- RIV/68407700:21670/13:00214712!RIV14-MSM-21670___
- ProjektProject
- Příspěvek k rozšíření velké výzkumné infrastruktury evropského významuContribution of the Czech Republic to the extension of the large research infrastructure of European importance
AbstraktAbstract
An exactly solvable model for a description of the two-neutrino double-beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double-beta decay matrix element on the like-nucleon pairing, particle-particle, and particle-hole proton-neutron interactions is found by assuming a weak violation of isospin symmetry of the Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of double-beta decay transition through a single state of the intermediate nucleus. Then, an energy-weighted sum rule connecting Delta Z = 2 nuclei is presented and discussed. It is suggested that this sum rule can be exploited to study the residual interactions of the nuclear Hamiltonian.
An exactly solvable model for a description of the two-neutrino double-beta decay transition of the Fermi type is considered. By using perturbation theory an explicit dependence of the two-neutrino double-beta decay matrix element on the like-nucleon pairing, particle-particle, and particle-hole proton-neutron interactions is found by assuming a weak violation of isospin symmetry of the Hamiltonian expressed with generators of the SO(5) group. It is found that there is a dominance of double-beta decay transition through a single state of the intermediate nucleus. Then, an energy-weighted sum rule connecting Delta Z = 2 nuclei is presented and discussed. It is suggested that this sum rule can be exploited to study the residual interactions of the nuclear Hamiltonian.