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Neutrino potential for neutrinoless double beta decay is studied with focusing on its statistical property. The statistics provide a gross view of understanding amplitude of constitutional components of the nuclear matrix element.

High Energy Physics - Phenomenology · Physics 2019-03-26 Yoritaka Iwata

We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-beta decay of $^{48}$Ca. Benchmarks with the no-core shell model in several light…

In the Standard Model the total lepton number is conserved. Thus, neutrinoless double-beta decay, in which the total lepton number is violated by two units, is a probe of physics beyond the Standard Model. In this review we consider the…

High Energy Physics - Phenomenology · Physics 2015-06-23 S. M. Bilenky , C. Giunti

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…

The possibility of observing neutrinoless double beta decay offers the opportunity of determining the neutrino mass IF the nuclear matrix element were known. Theoretical calculations are uncertain and measurements of the occupations of…

Next-generation neutrinoless double-beta ($0\nu\beta\beta$) decay experiments, with projected half-life sensitivities approaching $10^{28}$ years, are expected to probe the entire parameter space of the inverted neutrino mass ordering.…

High Energy Physics - Phenomenology · Physics 2026-04-09 C. R. Ding , K. Han , S. B. Wang , J. M. Yao

We extend the multi-reference covariant density functional theory (MR-CDFT) by including fluctuations in quadrupole deformations and average isovector pairing gaps simultaneously for the nuclear matrix elements (NMEs) of neutrinoless…

Nuclear Theory · Physics 2023-12-05 C. R. Ding , X. Zhang , J. M. Yao , P. Ring , J. Meng

Statistical spectral distribution method based on shell model and random matrix theory is developed for calculating neutrinoless double beta decay nuclear transition matrix elements. First results obtained for $^{82}$Se and $^{76}$Ge using…

Nuclear Theory · Physics 2016-09-01 V. K. B. Kota , R. U. Haq

We revisit the mechanism of neutrinoless double beta (NLDBD) decay mediated by the exchange with the heavy Majorana neutrino N of arbitrary mass mN, slightly mixed with the electron neutrino. By assuming the dominance of this mechanism, we…

High Energy Physics - Phenomenology · Physics 2014-11-26 Amand Faessler , Marcela Gonzalez , Sergey Kovalenko , Fedor Simkovic

We study two-neutrino double-beta decay ($2\nu\beta\beta$) into first-excited $0^+_2$ states of nuclei used in $\beta\beta$ decay experiments, including $^{76}$Ge, $^{82}$Se, $^{130}$Te, and $^{136}$Xe. We calculate the corresponding…

Nuclear Theory · Physics 2026-04-08 Daniel Castillo , Dorian Frycz , Beatriz Benavente , Javier Menéndez

Working with Hamiltonians from chiral effective field theory, we develop a novel framework for describing arbitrary deformed medium-mass nuclei by combining the in-medium similarity renormalization group with the generator coordinate…

Nuclear Theory · Physics 2020-06-15 J. M. Yao , B. Bally , J. Engel , R. Wirth , T. R. Rodríguez , H. Hergert

The two neutrino double beta $(\beta ^{-}\beta ^{-})_{2\nu}$ decay of $ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei for the $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction…

Nuclear Theory · Physics 2008-06-06 R. Chandra , P. K. Rath , P. K. Raina , J. G. Hirsch

In the last two decades the search for neutrinoless double beta decay has evolved into one of the highest priorities for understanding neutrinos and the origin of mass. The main reason for this paradigm shift has been the discovery of…

High Energy Physics - Experiment · Physics 2012-02-10 J. J. Gomez-Cadenas , J. Martin-Albo , M. Mezzetto , F. Monrabal , M. Sorel

In this work, we have studied the $2\nu\beta\beta$ decay of $^{76}$Ge and $^{96}$Zr isotopes utilizing large-scale shell-model calculations. The GWBXG effective interaction has been employed in the calculation of $2\nu\beta\beta$-decay…

Nuclear Theory · Physics 2024-11-25 Deepak Patel , Praveen C. Srivastava , Jouni Suhonen

The change in the configuration of valence protons between the initial and final states in the neutrinoless double-$\beta$ decay of $^{130}$Te $\rightarrow$ $^{130}$Xe and of $^{136}$Xe $\rightarrow$ $^{136}$Ba has been determined by…

A self-consistent calculation of nuclear matrix elements of the neutrinoless double beta decays (0nbb) of 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te and 130Xe is presented in the framework of the renormalized quasiparticle random phase…

Nuclear Theory · Physics 2009-06-30 Fedor Simkovic , Amand Faessler , Herbert Muther , Vadim Rodin , Markus Stauf

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

We investigate neutrinoless double-beta decay ($0\nu\beta\beta$) in the minimal extension of the standard model of particle physics, the $\nu$SM, where gauge-singlet right-handed neutrinos give rise to Dirac and Majorana neutrino mass…

High Energy Physics - Phenomenology · Physics 2023-03-09 Wouter Dekens , Jordy de Vries , Emanuele Mereghetti , Javier Menéndez , Pablo Soriano , Guanghui Zhou

Background: The discovery of neutrinoless double-beta ($0\nu\beta\beta$) decay would demonstrate the nature of neutrinos, have profound implications for our understanding of matter-antimatter mystery, and solve the mass hierarchy problem of…

Nuclear Theory · Physics 2017-02-09 L. S. Song , J. M. Yao , P. Ring , J. Meng

We present accurate predictions of the effective Majorana mass $|m_{\beta\beta}|$ in neutrinoless double-$\beta$ decay in the standard case of $3\nu$ mixing and in the case of 3+1 neutrino mixing indicated by the reactor, Gallium and LSND…

High Energy Physics - Phenomenology · Physics 2015-09-02 C. Giunti , E. M. Zavanin