Contributions of different neutron pairs in different approaches for neutrinoless double beta decay

Details Contributions of different neutron pairs in different approaches for neutrinoless double beta decay Contributions of different neutron pairs in different approaches for neutrinoless double beta decay

2010-01-20

arxiv.org/abs/1001.3519v2

J.Phys.G37:125108,2010

Physics

Nuclear Physics

Nuclear Theory

14 pages, 8 figures, extensively revised to discuss the effect of different seniorities, 1 figure and 2 tables added

Scientific paper

10.1088/0954-3899/37/12/125108

The methods used till now to calculate the neutrinoless double beta decay matrix elements are: the Quasiparticle Random Phase Approximation (QRPA), the Shell Model (SM), the angular momentum projected Hartee-Fock-Bogoliubov approach (HFB) and the Interacting Boson Model (IBM). The different approaches are compared specifically concerning the the angular momenta and parities of the neutron pairs, which are changed into two protons by the $0\nu\beta\beta$ decay. The QRPA and SM involve about the same angular momentum and parity neutron pairs, while the HFB is restricted to $0^{+}, 2^{+}, 4^{+}, ...$, and IBM to $0^{+}$ and $2^{+}$ nucleon pairs. The differences in the seniority contributions for the QRPA and the SM are discussed.

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