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The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) are evaluated for $^{76}$Ge,$^{100}$Mo, $^{130}$Te, and $^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and…

Nuclear Theory · Physics 2011-05-05 V. A. Rodin , Amand Faessler , F. Šimkovic , Petr Vogel

We devise a framework based on the generalized contact formalism that combines the nuclear shell model and quantum Monte Carlo methods and compute the neutrinoless double-beta decay of experimentally relevant nuclei, including $^{76}$Ge,…

Nuclear Theory · Physics 2022-12-21 Ronen Weiss , Pablo Soriano , Alessandro Lovato , Jaview Menendez , R. B. Wiringa

A general Lorentz--invariant parameterization for the long-range part of the $0\nu\beta\beta$ decay rate is derived. Combined with the short range part this general parameterization in terms of effective $B-L$ violating couplings will allow…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Päs , M. Hirsch , H. V. Klapdor-Kleingrothaus , S. G. Kovalenko

Neutrinoless double beta decay ($0\nu\beta\beta$) is a crucial test for lepton number violation. Observation of this process would have fundamental implications for neutrino physics, theories beyond the Standard Model and cosmology.…

High Energy Physics - Phenomenology · Physics 2020-12-01 Frank F. Deppisch , Lukas Graf , Francesco Iachello , Jenni Kotila

We calculate the nuclear matrix element (NME), effective axial-vector current coupling $g_A^\mathrm{eff}$, and half-life of the double-$\beta$ ($\beta\beta$) decay using the transition operator perturbed by the nuclear interaction. The…

Nuclear Theory · Physics 2025-08-07 J. Terasaki , O. Civitarese

We study the two-neutrino double-beta decay in 76Ge, 116Cd, 128Te, 130Te, and 150Nd, as well as the two Gamow-Teller branches that connect the double-beta decay partners with the states in the intermediate nuclei. We use a theoretical…

Nuclear Theory · Physics 2017-01-06 P. Sarriguren , O. Moreno , E. Moya de Guerra

Double-beta decay matrix elements (ME) for $^{76}Ge$ are calculated with different quasi random phase approximation (QRPA)-based methods. First, the ME for the two-neutrino mode are computed using two choices for the single particle (s.p.)…

Nuclear Theory · Physics 2009-11-06 S. Stoica , H. V. Klapdor-Kleingrothaus

Two-neutrino double-beta-decay matrix elements $M_{2\nu}$ and single beta-decay branching ratios were calculated for $^{48}$Ca and $^{96}$Zr in the interacting nuclear shell model using large single-particle valence spaces with well-tested…

Nuclear Theory · Physics 2020-01-08 Joel Kostensalo , Jouni Suhonen

From the standard seesaw mechanism of neutrino mass generation, which is based on the assumption that the lepton number is violated at a large (~10exp(+15) GeV) scale, follows that the neutrinoless double-beta decay is ruled by the Majorana…

High Energy Physics - Phenomenology · Physics 2015-05-27 Samoil M. Bilenky , Amand Faessler , Walter Potzel , Fedor Simkovic

We recently proposed a new method to calculate the standard nuclear matrix elements for neutrinoless double-$\beta$ decay ($0\nu\beta\beta$) of ${}^{48}$Ca going beyond the closure approximation. Here we extend this analysis to the…

Nuclear Theory · Physics 2015-06-18 R. A. Sen'kov , M. Horoi , B. A. Brown

The amplitude for the neutrinoless double $\beta$ ($0\nu\beta\beta$) decay of the two-neutron system, $nn\to ppe^-e^-$, constitutes a key building block for nuclear-structure calculations of heavy nuclei employed in large-scale…

We use the generator-coordinate method with realistic shell-model interactions to closely approximate full shell-model calculations of the matrix elements for the neutrinoless double-beta decay of $^{48}$Ca, $^{76}$Ge, and $^{82}$Se. We…

Nuclear Theory · Physics 2017-11-22 C. F. Jiao , J. Engel , J. D. Holt

The nuclear matrix elements of neutrinoless double-$\beta$ decay for nuclei $^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te, and $^{150}$Nd are studied within the triaxial projected shell model, which incorporates simultaneously the triaxial…

Nuclear Theory · Physics 2021-08-04 Y. K. Wang , P. W. Zhao , J. Meng

We compute nuclear matrix elements for neutrinoless double electron capture on $^{152}$Gd, $^{164}$Er and $^{180}$W nuclei. Recent precise mass measurements for these nuclei have shown a large resonance enhancement factor that makes them…

Nuclear Theory · Physics 2015-06-04 Tomas R. Rodriguez , Gabriel Martinez-Pinedo

We evaluate all nuclear matrix elements (NMEs) up to next-to-next-to leading order (N$^2$LO) in chiral effective field theory ($\chi$EFT) for the neutrinoless double-beta ($0\nu\beta\beta$) decay of the nuclei most relevant for experiments,…

Nuclear Theory · Physics 2025-08-22 Daniel Castillo , Lotta Jokiniemi , Pablo Soriano , Javier Menéndez

We review recent developments in double-beta decay, focusing on what can be learned about the three light neutrinos in future experiments. We examine the effects of uncertainties in already measured neutrino parameters and in calculated…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. R. Elliott , J. Engel

We study neutrinoless double-beta decay in an effective field theory (EFT) for heavy nuclei, which are treated as a spherical core coupled to additional neutrons and/or protons. Since the low-energy constants of the EFT cannot be fitted to…

We calculate basis-space converged neutrinoless $\beta \beta$ decay nuclear matrix elements for the lightest candidates: 48Ca, 76Ge and 82Se. Starting from initial two- and three-nucleon forces, we apply the ab initio in-medium similarity…

Nuclear Theory · Physics 2021-02-02 A. Belley , C. G. Payne , S. R. Stroberg , T. Miyagi , J. D. Holt

Comprehensive description of the phenomenology of the $\beta\beta$ decay is given, with emphasis on the nuclear physics aspects. After a brief review of the neutrino oscillation results and of motivation to test the lepton number…

High Energy Physics - Phenomenology · Physics 2008-07-17 Petr Vogel

We have examined the importance of momentum dependent induced nucleon currents such as weak-magnetism and pseudoscalar couplings to the amplitude of neutrinoless double beta decay in the mechanisms of light and heavy Majorana neutrino as…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Simkovic , G. Pantis , J. D. Vergados , A. Faessler
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