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The results of systematic calculations of isospin-symmetry-breaking corrections to superallowed beta-decays based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT) are reviewed with an…

Nuclear Theory · Physics 2013-07-08 W. Satula , J. Dobaczewski , M. Konieczka , W. Nazarewicz

We show that the dominant Gamow-Teller part, $M^{0\nu}_{GT}$, of the nuclear matrix element governing the neutrinoless $\beta\beta$ decay is related to the matrix element $M^{2\nu}_{cl}$ governing the allowed two-neutrino $\beta\beta$…

Nuclear Theory · Physics 2016-08-14 Fedor Šimkovic , Rastislav Hodák , Amand Faessler , Petr Vogel

We investigate a novel method of accurate calculation of the neutrinoless double-$\beta$ decay shell-model nuclear matrix elements for the experimentally relevant case of $^{76}$Ge. We demonstrate that with the new method the nuclear matrix…

Nuclear Theory · Physics 2015-06-23 R. A. Sen'kov , M. Horoi

Nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decay in candidate nuclei play a crucial role in interpreting results from current experiments and in designing future ones. Accurate NME values serve as…

Nuclear Theory · Physics 2024-08-08 C. R. Ding , Gang Li , J. M. Yao

We use a reference state based on symmetry-restored states from deformed mean-field or generator-coordinate-method (GCM) calculations in conjunction with the in-medium similarity-renormalization group (IMSRG) to compute spectra and matrix…

Nuclear Theory · Physics 2018-11-21 J. M. Yao , J. Engel , L. J. Wang , C. F. Jiao , H. Hergert

Spectrum shape measurements in nuclear $\beta$ decay can be used to test physics beyond the Standard Model with results being complementary to high-energy collider experiments. In particular, Beyond Standard Model sensitivity of the weak…

Nuclear Experiment · Physics 2024-04-05 L. De Keukeleere , D. Rozpedzik , N. Severijns , K. Bodek , L. Hayen , K. Lojek , M. Perkowski , S. Vanlangendonck

The ground-state Gamow-Teller transition in the decay of 14O is strongly hindered and the electron spectrum deviates markedly from the allowed shape. A reanalysis of the only available data on this spectrum changes the branching ratio…

Nuclear Theory · Physics 2009-11-11 I. S. Towner , J. C. Hardy

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

Beta-decay and muon-capture experiments in nuclei are reviewed. The conserved vector current hypothesis is confirmed through the observed constancy of the vector coupling constant determined from the superallowed Fermi transitions and from…

Nuclear Theory · Physics 2016-11-03 I. S. Towner , J. C. Hardy

We report ab initio benchmark calculations of nuclear matrix elements (NMEs) for neutrinoless double-beta ($0\nu\beta\beta$) decays in light nuclei with mass number ranging from $A=6$ to $A=22$. We use the transition operator derived from…

Nuclear Theory · Physics 2021-01-27 J. M. Yao , A. Belley , R. Wirth , T. Miyagi , C. G. Payne , S. R. Stroberg , H. Hergert , J. D. Holt

Nuclei in the vicinity of driplines have been receiving a lot of attention in nuclear structure studies. In the nuclei, the continuum coupling is crucial in reproducing weakly-bound and unbound phenomena. To calculate observables of the…

Nuclear Theory · Physics 2023-09-11 Z. C. Xu , S. Zhang , J. G. Li , S. L. Jin , Q. Yuan , Z. H. Cheng , N. Michel , F. R. Xu

This paper investigates the beta decay of nuclei within the sd model space, encompassing the $0d_{3/2}$, $0d_{5/2}$, and $1s_{1/2}$ shells. We comprehensively analyze their decay characteristics, including the half-life, $logft$ value, Q…

Nuclear Theory · Physics 2023-07-25 Surender Siwach

We study the double Gamow-Teller (DGT) strength distribution of $^{48}$Ca with state-of-the-art large-scale nuclear shell model calculations. Our analysis shows that the centroid energy of the DGT giant resonance depends mostly on the…

Nuclear Theory · Physics 2018-04-11 Noritaka Shimizu , Javier Menéndez , Kentaro Yako

Two-neutrino double-beta ($2\nu\beta\beta$) decay has been used to constrain the neutron-proton part of effective interactions, which in turn is used to compute the nuclear matrix elements for neutrinoless double-beta decay, the observation…

Nuclear Theory · Physics 2022-04-20 Nobuo Hinohara , Jonathan Engel

In this work, the contributions from $\gamma W$-exchange in neutron $\beta$ decay are estimated at the amplitude level. Using a general form for the electromagnetic (EM) form factors (FFs) of the proton, the EM FFs of the neutron, and the…

Nuclear Theory · Physics 2025-03-18 Hui-Yun Cao , Hai-Qing Zhou

We use the large scale nuclear shell model to calculate the nuclear matrix elements for the neutrino mediated neutrinoless double beta decay within the Left-Right symmetric model for four nuclei: $^{76}$Ge, $^{82}$Se, $^{130}$Te and…

Nuclear Theory · Physics 2024-07-04 Dong-Liang Fang , B. Alex Brown , Fedor Šimkovic

We present the first and complete dispersion relation analysis of the inner radiative corrections to the axial coupling constant $g_A$ in the neutron $\beta$-decay. Using experimental inputs from the elastic form factors and the…

High Energy Physics - Phenomenology · Physics 2021-10-14 Mikhail Gorchtein , Chien-Yeah Seng

High precision measurements of isospin $T=1/2$ decays in the neutron and nuclei provide strong model-independent constraints on extensions to the standard model of particle physics. A measurement of the $\beta$-asymmetry in $^{19}$Ne decay…

Nuclear Experiment · Physics 2020-11-24 Dustin Combs , Gordon Jones , William Anderson , Frank Calaprice , Leendert Hayen , Albert Young

The neutrinoless double-$\beta$ decay ($0\nu\beta\beta$) of nuclei is one of the major research subjects of neutrino physics nowadays because of its influence on particle physics and astrophysics. The predicted nuclear matrix elements…

Nuclear Theory · Physics 2025-09-23 J. Terasaki , O. Civitarese

We have measured the angular distribution of recoiling daughter nuclei emitted from the Gamow-Teller $\beta$ decay of spin-polarized $^{80}$Rb. The asymmetry of this distribution vanishes to lowest order in the Standard Model (SM) in pure…

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