scholarly journals Majorana neutrino masses, neutrinoless double beta decay, and nuclear matrix elements

2004 ◽  
Vol 70 (3) ◽  
Author(s):  
S. M. Bilenky ◽  
Amand Faessler ◽  
F. Šimkovic
2010 ◽  
Vol 19 (04) ◽  
pp. 692-698 ◽  
Author(s):  
MAREK GÓŹDŹ ◽  
WIESŁAW A. KAMIŃSKI

We compare different methods of obtaining the neutrinoless double beta decay nuclear matrix elements (NME). On the example of 76 Ge we use the NME to calculate the Majorana neutrino transition magnetic moments, generated through particle–sparticle R-parity violating loop diagrams whithin the minimal supersymmetric standard model.


2019 ◽  
Vol 223 ◽  
pp. 01057
Author(s):  
Shahariar Sarkar ◽  
Pawan Kumar ◽  
Kanhaiya Jha ◽  
P.K. Raina

We examine the sensitivity of nuclear matrix elements (NMEs) for light-neutrino exchange mechanism of neutrinoless double beta decay (0νββ) for 48Ca to the various components of two-nucleon interaction, GXPF1A, in fp model space. It is found that the contribution in NMEs coming from the central component is close to contribution from total interaction. The spin-orbit and tensor components are found canceling the contribution of each other.


2001 ◽  
Vol 16 (37) ◽  
pp. 2409-2420 ◽  
Author(s):  
H. V. KLAPDOR-KLEINGROTHAUS ◽  
A. DIETZ ◽  
H. L. HARNEY ◽  
I. V. KRIVOSHEINA

The data of the Heidelberg–Moscow double beta decay experiment for the measuring period August 1990–May 2000 (54.9813 kg y or 723.44 molyears), published recently, are analyzed using the potential of the Bayesian method for low counting rates. First evidence for neutrinoless double beta decay is observed giving first evidence for lepton number violation. The evidence for this decay mode is 97% (2.2σ) with the Bayesian method, and 99.8% c.l. (3.1σ) with the method recommended by the Particle Data Group. The half-life of the process is found with the Bayesian method to be [Formula: see text] (95% c.l.) with a best value of 1.5 × 1025 y . The deduced value of the effective neutrino mass is, with the nuclear matrix elements from Ref. 1, <m> = (0.11–0.56) eV (95% c.l.), with a best value of 0.39 eV. Uncertainties in the nuclear matrix elements may widen the range given for the effective neutrino mass by at most a factor 2. Our observation which at the same time means evidence that the neutrino is a Majorana particle, will be of fundamental importance for neutrino physics.


Universe ◽  
2020 ◽  
Vol 6 (2) ◽  
pp. 29
Author(s):  
Harald Fritzsch

We discuss the mass matrices with texture zeros for the quarks and leptons. The flavor mixing angles for the quarks are functions of the quark masses and can be calculated. The results agree with the experimental data. The texture zero mass matrices for the leptons and the see-saw mechanism are used to derive relations between the matrix elements of the lepton mixing matrix and the ratios of the neutrino masses. Using the measured neutrino mass differences, the neutrino masses can be calculated. The neutrinoless double beta decay is discussed. The effective Majorana neutrino mass, describing the neutrinoless double beta decay, can be calculated—it is about 4.6 meV. The present experimental limit is at least twenty times larger.


2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Andrei Neacsu ◽  
Sabin Stoica

New constraints on the lepton number violating (LNV) parameters are derived from the analysis of the neutrinoless double beta (0νββ) decay in the hypothesis that this process would occur through the exchange of heavy neutrinos and/or SUSY particles. For derivation, we use new values of both phase space factors (PSFs) and nuclear matrix elements (NMEs) calculated with numerical codes developed recently, as well as the most recent experimental lifetimes. The NMEs are computed with a shell model (ShM) code for 48Ca, 76Ge, and 82Senuclei, while at present similar ShM results are available only for the first nucleus. We compare our results with similar ones from literature, obtained with ShM, QRPA, and IBM-2 methods, and conclude that more results are needed for a relevant analysis on the validity of NMEs associated with these decay mechanisms.


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