Disassembling the nuclear matrix elements of the neutrinoless ββ decay

By J. Menendez, A. Poves, E. Caurier, F. Nowacki. 2008

360 citations recorded by the source corpus.

Abstract In this article we analyze the nuclear matrix elements (NME) of the neutrinoless double beta decays ( 0 ν β β ) of the nuclei 48 Ca, 76 Ge, 82 Se, 124 Sn, 128 Te, 130 Te and 136 Xe in the framework of the interacting shell model (ISM). We study the relative value of the different contributions to the NME's, such as higher order terms in the nuclear current, finite nuclear size effects and short range correlations, as well as their evolution with the maximum seniority permitted in the wave functions. We discuss also the build-up of the NME's as a function of the distance between the decaying neutrons. We calculate the decays to 0 1 + final states and find that these decays are at least 25 times more suppressed with respect to the ground state to ground state transition.

Subfields: Nuclear and High Energy Physics, Radiation

View Paper: https://www.semanticscholar.org/paper/1e5fe11a56e86daf870ec208258e5343c046ab60

How researchers see this paper

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In Nuclear and High Energy Physics

1. M. Viel
2. S. Dell’Oro
3. M. Pavan
4. F. Vissani
5. O. Cremonesi
6. S. Marcocci
7. M. Haehnelt

In Radiation

1. M. Viel
2. M. Pavan
3. O. Cremonesi

Citations in the corpus

• Neutrinoless Double Beta Decay: 2015 Review (2016, methodology): “Following [96], we adopt this as a working hypothesis in our discussion, however keeping in mind that some indications that the quenching might be different in the 0]ββ and 2]ββ transitions are present in other models [164, 189].”
• Challenges in Double Beta Decay (2013, methodology): “), the nuclear shell model [42, 43] (NSM), the Interacting Boson Model [44] (IBM), the generating coordinate method [45] (GCM), and others.”
• Sensitivity and discovery potential of the proposed nEXO experiment to neutrinoless double- β decay (2017, neutral): “ Coordinate Method. See Sec. 2.1 for details. The phase space values used in calculating FN values are taken from [26]. 0νββ nuclear factor of merit FN (10−13 y−1) Isotope QRPA-T [27] QRPA-J [28] ISM [29] IBM-2 [30] PHFB [31] GCM [32] 130Te 3.56 – 10.6 3.34 – 9.28 1.56 – 2.44 5.99 – 7.84 3.10 – 9.11”