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We calculate the nuclear matrix elements of the neutrinoless double beta ($0\nu\beta\beta$) decays of $^{76}$Ge and $^{82}$Se for the light-neutrino exchange mechanism. The nuclear wave functions are obtained by using realistic two-body…

Nuclear Theory · Physics 2008-11-26 Markus Kortelainen , Jouni Suhonen

Although well studied, the neutron still offers a unique laboratory for precise tests of Standard Model (SM) predictions. Neutron decay is free of nuclear structure corrections present in nuclear beta decays, and, with a $10^8$ times larger…

Nuclear Experiment · Physics 2017-04-04 Dinko Pocanic

The observation of neutrinoless double-beta ($0\nu\beta\beta$) decay would offer proof of lepton number violation, demonstrating that neutrinos are Majorana particles, while also helping us understand why there is more matter than…

We present a technique for estimating the number of future neutrinoless double-beta decay results using several distinct nuclei to optimize the physics reach of upcoming experiments. We use presently available matrix element calculations…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. M. Gehman , S. R. Elliott

Ruling out the inverted neutrino hierarchy with neutrinoless double beta decay experiments is possible if a limit on the effective mass below the minimal theoretically possible value is reached. We stress that this lower limit depends…

High Energy Physics - Phenomenology · Physics 2011-07-05 Alexander Dueck , Werner Rodejohann , Kai Zuber

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 discuss as accurately as possible the cross section of quasi-elastic scattering of electron (anti-)neutrinos on nucleons, also known as inverse beta decay in the case of antineutrinos. We focus on the moderate energy range from a few MeV…

High Energy Physics - Phenomenology · Physics 2022-08-24 Giulia Ricciardi , Natascia Vignaroli , Francesco Vissani

The $\lambda$ mechanism ($W_L$-$W_R$ exchange) of the neutrinoless double beta decay ($0\nu\beta\beta$-decay), which has origin in left-right symmetric model with right-handed gauge boson at TeV scale, is investigated. The revisited…

High Energy Physics - Phenomenology · Physics 2018-04-13 Fedor Šimkovic , Dušan Štefánik , Rastislav Dvornický , Amand Faessler

Neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay is related to many fundamental concepts in nuclear and particle physics beyond the standard model. Currently there are many experiments searching for this weak process. An accurate…

Nuclear Theory · Physics 2015-06-22 L. S. Song , J. M. Yao , P. Ring , J. Meng

A fully analytical description of the allowed $\beta$ spectrum shape is given in view of ongoing and planned measurements. Its study forms an invaluable tool in the search for physics beyond the standard electroweak model and the weak…

Nuclear Theory · Physics 2018-06-01 Leendert Hayen , Nathal Severijns , Kazimierz Bodek , Xavier Mougeot , Dagmara Rozpedzik

The motivation for the search for $0\nu\beta\beta$ decay is briefly reviewed. It is stressed that the exchange of light Majorana neutrinos is not the only possible mechanism of the decay. The link between lepton number and lepton flavor…

High Energy Physics - Phenomenology · Physics 2008-07-11 Petr Vogel

The variances and covariances associated to the nuclear matrix elements (NME) of neutrinoless double beta decay are estimated within the quasiparticle random phase approximation (QRPA). It is shown that correlated NME uncertainties play an…

High Energy Physics - Phenomenology · Physics 2009-11-06 Amand Faessler , G. L. Fogli , E. Lisi , V. Rodin , A. M. Rotunno , F. Simkovic

The nuclear matrix elements for the momentum quadrupole operator are important for the interpretation of precision atomic physics experiments that search for violations of local Lorentz and CPT symmetry and for new spin-dependent forces. We…

Nuclear Theory · Physics 2017-11-15 B. A. Brown , G. F. Bertsch , L. M. Robledo , M. V. Romalis , V. Zelevinsky

We examine the constraints on the MNS lepton mixing matrix =66rom the present and future experimental data of the neutrino oscillation, tritium beta decay, and neutrinoless double beta decay for Majorana neutrinos. We show that the small…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. Matsuda , N. Takeda , T. Fukuyama , H. Nishiura

We analyze the axial $\gamma W$-box diagram for $I(J^P)=1(0^+)$ nuclei and provide a dispersion representation of the nuclear-structure correction $\delta_\text{NS}$ including its energy-dependent part. We also summarize useful isospin…

Nuclear Theory · Physics 2023-03-28 Chien-Yeah Seng , Mikhail Gorchtein

The first-forbidden transition of nuclear $\beta$ decay is expected to play crucial roles in many aspects in nuclear physics, nuclear astrophysics and particle physics such as the stellar $\beta$-decay rates and the reactor anti-neutrino…

Nuclear Theory · Physics 2023-10-31 Bin-Lei Wang , Long-Jun Wang

In a conventional light water reactor loaded with a range of uranium and plutonium-based fuel mixtures, the variation in antineutrino production over the cycle reflects both the initial core fissile inventory and its evolution. Under the…

Nuclear Experiment · Physics 2018-01-17 Adam Bernstein , Nathaniel Bowden , Anna Erickson

We propose a novel dispersive treatment of the so-called inner radiative correction to the neutron and nuclear $\beta$-decay. We show that it requires knowledge of the parity-violating structure function $F_3^{(0)}$ that arises from the…

Nuclear Theory · Physics 2019-07-18 Chien Yeah Seng , Mikhail Gorchtein , Michael J. Ramsey-Musolf

Inverse beta decay (IBD), $\overline{\nu}_e p \to e^+ n \left( \gamma \right)$, is the main detection channel for reactor antineutrinos in water- and hydrocarbon-based detectors. As reactor antineutrino experiments now target…

High Energy Physics - Phenomenology · Physics 2025-12-10 Oleksandr Tomalak

The calculations of the time-dependent reactor antineutrino energy spectrum are presented. Some problems associated with sensitive searches for neutrino magnetic moment and neutrino oscillations in reactor antineutrino flux are considered.

High Energy Physics - Phenomenology · Physics 2015-06-25 V. I. Kopeikin
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