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  • 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. (en)
Title
  • DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY
  • DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY (en)
skos:prefLabel
  • DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY
  • DOUBLE FERMI MATRIX ELEMENT WITHIN PERTURBATION THEORY (en)
skos:notation
  • RIV/68407700:21670/13:00214727!RIV14-MSM-21670___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(LM2011027)
http://linked.open...iv/cisloPeriodika
  • 9-10
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 70504
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21670/13:00214727
http://linked.open...riv/jazykVysledku
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  • two-neutrino double-beta decay; nuclear matrix element; SO(5) model (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • RO - Rumunsko
http://linked.open...ontrolniKodProRIV
  • [0B8E7546465A]
http://linked.open...i/riv/nazevZdroje
  • ROMANIAN JOURNAL OF PHYSICS
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 58
http://linked.open...iv/tvurceVysledku
  • Stefanik, D.
  • Šimkovic, Fedor
http://linked.open...ain/vavai/riv/wos
  • 000326846400025
issn
  • 1221-146X
number of pages
http://localhost/t...ganizacniJednotka
  • 21670
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