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As experimental searches for neutrinoless double-beta ($0\nu\beta\beta$) decay are entering a new generation, with hopes to completely probe the inverted mass hierarchy, the need for reliable nuclear matrix elements, which govern the rate…

Nuclear Theory · Physics 2025-05-08 A. Belley , T. Miyagi , S. R. Stroberg , J. D. Holt

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

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA)…

Nuclear Theory · Physics 2009-11-11 Vadim Rodin , Amand Faessler , Fedor Simkovic , Petr Vogel

We present the first ab initio calculations of neutrinoless double beta decay matrix elements in $A=6$-$12$ nuclei using Variational Monte Carlo wave functions obtained from the Argonne $v_{18}$ two-nucleon potential and Illinois-7…

Nuclear Theory · Physics 2018-01-24 S. Pastore , J. Carlson , V. Cirigliano , W. Dekens , E. Mereghetti , R. B. Wiringa

In the PHFB model, uncertainties in the nuclear transition matrix elements for the neutrinoless double-$\beta $ decay of $\ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes within mechanisms…

Nuclear Theory · Physics 2015-06-16 P. K. Rath , R. Chandra , K. Chaturvedi , P. Lohani , P. K. Raina , J. G. Hirsch

Analytical expressions of the one- and two-body terms in the cluster expansion of the charge form factors and densities of the s-p and s-d shell nuclei with N=Z are derived. They depend on the harmonic oscillator parameter b and the…

Nuclear Theory · Physics 2009-10-31 S. E. Massen , H. C. Moustakidis

We study neutrinoless double-beta decay in extensions of the Standard Model that include $n$ right-handed neutrino singlets, with masses $m_s$ below the GeV scale. Generalizing recently developed matching methods, we determine the $m_s$…

High Energy Physics - Phenomenology · Physics 2025-04-24 Vincenzo Cirigliano , Wouter Dekens , Sebastián Urrutia Quiroga

While neutrino oscillation experiments have demonstrated that neutrinos have small, nonzero masses, much remains unknown about their properties and decay modes. One potential decay mode --- neutrinoless double beta decay ($0 \nu \beta…

High Energy Physics - Lattice · Physics 2018-11-15 W. Detmold , D. J. Murphy

In this work we discuss the neutrino mass dependent nuclear matrix element (NME) of the neutrinoless double beta decay process and derive the limit on the parameter space of the minimal Type-I seesaw model from the current available…

High Energy Physics - Phenomenology · Physics 2024-08-20 Dong-Liang Fang , Yu-Feng Li , Yi-Yu Zhang , Jing-Yu Zhu

We compute nuclear matrix elements of neutrinoless double-beta decay mediated by light Majorana-neutrino exchange in the A = 6 system. The goal is to benchmark two many-body approaches, the No-Core Shell Model and the Multi-Reference…

Nuclear Theory · Physics 2020-07-08 R. A. M. Basili , J. M. Yao , J. Engel , H. Hergert , M. Lockner , P. Maris , J. P. Vary

In the framework of the see-saw mechanism the normal hierarchy is favorable for the neutrino mass spectrum. For this spectrum we present a detailed calculation of the half-lives of neutrinoless double beta decay for several nuclei of…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. M. Bilenky , A. Faessler , T. Gutsche , F. Simkovic

Neutrinoless double-beta decay ($0\nu\beta\beta$) is a rare hypothesised process that, if discovered, would establish that the neutrino is Majorana, that is, it is its own antiparticle. Interpretation of experimental results relies on…

High Energy Physics - Lattice · Physics 2025-04-29 Anthony V. Grebe

Benchmark comparisons between many-body methods are performed to assess the ingredients necessary for an accurate calculation of neutrinoless double beta decay matrix elements. Shell model and variational Monte Carlo (VMC) calculations are…

Nuclear Theory · Physics 2019-10-15 X. B. Wang , A. C. Hayes , J. Carlson , G. X. Dong , E. Mereghetti , S. Pastore , R. B. Wiringa

Nuclear matrix elements (NME) for the most promising candidates to detect neutrinoless double beta decay have been computed with energy density functional methods including deformation and pairing fluctuations explicitly on the same…

Nuclear Theory · Physics 2014-01-06 Nuria López Vaquero , Tomás R. Rodríguez , J. Luis Egido

The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA)…

Nuclear Theory · Physics 2007-05-23 V. A. Rodin , Amand Faessler , F. Šimkovic , Petr Vogel

The effect of dynamical short-range correlations on the generalized momentum distribution $n(\vec{p},\vec{Q})$ in the case of $Z=N$, $\ell$-closed shell nuclei is investigated by introducing Jastrow-type correlations in the…

Nuclear Theory · Physics 2008-11-26 Ch. C. Moustakidis , P. Papakonstantinou , E. Mavrommatis

We use diagrammatic perturbation theory to construct an effective shell-model operator for the neutrinoless double-beta decay of 82Se. The starting point is the same Bonn-C nucleon-nucleon interaction that is used to generate the…

Nuclear Theory · Physics 2009-08-03 Jonathan Engel , Gaute Hagen

Understanding the origin of lepton number violation is one of the fundamental questions in particle physics today. Neutrinoless double beta decay provides a way in which this violation can be tested. In this article, we derive the form of…

High Energy Physics - Phenomenology · Physics 2021-10-19 Jenni Kotila , Jacopo Ferretti , Francesco Iachello

Nuclear transition matrix elements (NTME) for the neutrinoless double beta decay of $^{70}$Zn, $^{80}$Se and $^{82}$Se nuclei are calculated within the framework of the deformed shell model based on Hartree-Fock states. For $^{70}$Zn, jj44b…

Nuclear Theory · Physics 2015-06-22 R. Sahu , V. K. B. Kota

The influence of nucleon-nucleon short-ranged correlations (SRC) on nuclear super-allowed $\beta$ decay is examined. The need for this is driven by the observed depletion of spectroscopic strength obtained in studies of $(e,e')$ and…

Nuclear Theory · Physics 2022-12-21 Levi Condren , Gerald A. Miller
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