A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay |
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Authors: | F Ŝimkovic J Schwieger G Pantis Amand Faessler |
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Institution: | 1. Institut für Theoretische Physik der Universit?t Tübingen, Auf der Morgenstelle 14, D-72076, Tübingen, Germany 3. Bogoliubov Theoretical Laboratory, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
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Abstract: | A large Hilbert space is used for the calculation of the nuclear matrix elements governing the light neutrino mass mediated
mode of neutrinoless double beta decay (Ovββ-decay) of76
Ge,100
Mo,116
Cd,128
Te, and136
Xe within the proton-neutron quasiparticle random phase approximation (pn-QRPA) and the renormalized QRPA with proton-neutron
pairing (full-RQRPA) methods. We have found that the nuclear matrix elements obtained with the standard pn-QRPA for several
nuclear transitions are extremely sensitive to the renormalization of the particle-particle component of the residual interaction
of the nuclear hamiltonian. Therefore the standard pn-QRPA does not guarantee the necessary accuracy to allow us to extract
a reliable limit on the effective neutrino mass. This behavior already known from the calculation of the two-neutrino double
beta decay matrix elements, manifests itself in the neutrinoless double-beta decay but only if a large model space is used.
The full-RQRPA, which takes into account proton-neutron pairing and considers the Pauli principle in an approximate way, offers
a stable solution in the physically acceptable region of the particle-particle strength. In this way more accurate values
on the effective neutrino mass have been deduced from the experimental lower limits of the half-lifes of neutrinoless double
beta decay. |
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Keywords: | |
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