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The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays

Abstract : We study in this letter the behavior of the neutrinoless double beta decay nuclear matrix elements (NME's) in the framework of the Interacting Shell Model. We analize them in terms of the total angular momentum of the decaying neutron pair and as a function of the seniority truncations in the nuclear wave functions. This point of view turns out to be very adequate to gauge the accuracy of the NME's predicted by different nuclear structure models. In addition, it gives back the due protagonism in this process to the pairing interaction, the interaction which is responsible for the very existence of double beta decay emitters. We show that low seniority approximations, such as the quasiparticle RPA in an spherical basis, tend to overestimate the values of the NME's.
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http://hal.in2p3.fr/in2p3-00172436
Contributor : Béatrice Forrler <>
Submitted on : Monday, September 17, 2007 - 10:53:17 AM
Last modification on : Friday, May 8, 2020 - 1:10:26 AM

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E. Caurier, J. Menendez, F. Nowacki, A. Poves. The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays. Physical Review Letters, American Physical Society, 2008, 100, pp.052503. ⟨10.1103/PhysRevLett.100.052503⟩. ⟨in2p3-00172436⟩

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