Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS E
Volume 26, Issue 1-2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218301317400201
Keywords
Double beta decay; neutrino mass; covariant density functional theory; beyond mean field approaches
Categories
Funding
- Major State 973 Program of China [2013CB834400]
- National Natural Science Foundation of China [11175002, 11335002, 11461141002, 11575148, 11475140, 11305134]
- Scientific Discovery through Advanced Computing (SciDAC) Program - US Department of Energy, Office of Science, Advanced Scientific Computing Research and Nuclear Physics [DE-SC0008641, ER41896]
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We review the first fully relativistic description for the neutrinoless double-beta decay by the beyond-mean-field covariant density functional theory. The calculations of the nuclear transition matrix elements are based on a full relativistic transition operator and nuclear wave functions in which the dynamic effects of particle-number, angular-momentum, and parity conservations as well as shape fluctuations are incorporated. We find that the commonly used nonrelativistic approximation for the transition operator is justified within the mechanism of light-Majorana-neutrino exchange. We stress that reducing the discrepancies in the predicted nuclear matrix elements by different nuclear models is a major challenge in nuclear physics.
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