TY - JOUR
T1 - Evaluation of the theoretical nuclear matrix elements for ββ decay of Ge 76
AU - Brown, B. A.
AU - Fang, D. L.
AU - Horoi, M.
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/10/8
Y1 - 2015/10/8
N2 - The nuclear matrix elements for two-neutrino double-β and zero-neutrino double-β decay of Ge76 are evaluated in terms of the configuration-interaction (CI), quasiparticle random-phase approximation (QRPA), and interacting boson model methods. We point out deficiencies in all of these models and suggest ways that some of them can be corrected. The final results are obtained from the CI method corrected for configuration admixtures involving orbitals outside of the CI configuration space by using results from QRPA, many-body-perturbation theory, and the connections to related observables. The CI two-neutrino matrix element is reduced due to the inclusion of spin-orbit partners and to many-body correlations connected with Gamow-Teller β decay. The CI zero-neutrino matrix element for the heavy neutrino is enhanced due to particle-particle correlations that are connected with the odd-even oscillations in the nuclear masses. The CI zero-neutrino matrix element for the light neutrino contains both types of correlations that approximately cancel each other. The uncertainty from short-range correlations is also considered.
AB - The nuclear matrix elements for two-neutrino double-β and zero-neutrino double-β decay of Ge76 are evaluated in terms of the configuration-interaction (CI), quasiparticle random-phase approximation (QRPA), and interacting boson model methods. We point out deficiencies in all of these models and suggest ways that some of them can be corrected. The final results are obtained from the CI method corrected for configuration admixtures involving orbitals outside of the CI configuration space by using results from QRPA, many-body-perturbation theory, and the connections to related observables. The CI two-neutrino matrix element is reduced due to the inclusion of spin-orbit partners and to many-body correlations connected with Gamow-Teller β decay. The CI zero-neutrino matrix element for the heavy neutrino is enhanced due to particle-particle correlations that are connected with the odd-even oscillations in the nuclear masses. The CI zero-neutrino matrix element for the light neutrino contains both types of correlations that approximately cancel each other. The uncertainty from short-range correlations is also considered.
UR - http://www.scopus.com/inward/record.url?scp=84944411608&partnerID=8YFLogxK
U2 - 10.1103/PhysRevC.92.041301
DO - 10.1103/PhysRevC.92.041301
M3 - Article
AN - SCOPUS:84944411608
VL - 92
JO - Physical Review C - Nuclear Physics
JF - Physical Review C - Nuclear Physics
SN - 0556-2813
IS - 4
M1 - 041301
ER -