Influence of Pairing on the Nuclear Matrix Elements of the NeutrinolessββDecays

2007/09/30 by E. Caurier, J. Menéndez, J. Menendez +2 · 9 citations
Mathematics · Physics and Astronomy · #Atomic physics #Basis (linear algebra) #Double beta decay #Function (biology) #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Neutrino #Neutrino Physics Research #Nuclear physics #Nuclear physics research studies #Pairing #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quasiparticle #Seniority #Wave function #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevlett.100.052503

published as Phys.Rev.Lett.100:052503,2008 · 4 pages, 3 figures, added discussions

arxiv created 2007/11/19 · openalex publication_date 2008/02/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study in this Letter the neutrinoless double beta decay nuclear matrix elements (NME's) in the framework of the interacting shell model. We analyze 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 models. In addition, it gives back the protagonist role in this process to the pairing interaction, the one which is responsible for the very existence of double beta decay emitters. We show that low seniority approximations, comparable to those implicit in the quasiparticle RPA in a spherical basis, tend to overestimate the NME's in several decays.

Citations

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• The shell model as a unified view of nuclear structure

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• Nuclear matrix elements for the λ mechanism of 0νββ decay of Ca<mml:mprescripts/><mml:none/>48 in the nuclear shell-model: Closure versus nonclosure approach

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