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Nuclear super-allowed $\beta$ decay has been used to obtain tight limits on the value of the CKM matrix element $V_{ud}$ that is important for unitarity tests, and therefore important for tests of the standard model. Current requirements on…

Nuclear Theory · Physics 2023-03-10 Gerald A. Miller

An improved formalism of the two-neutrino double-beta decay ($2\nu\beta\beta$-decay) rate is presented, which takes into account the dependence of energy denominators on lepton energies via the Taylor expansion. Till now, only the leading…

Nuclear Theory · Physics 2018-04-13 Fedor Šimkovic , Rastislav Dvornický , Dušan Štefánik , Amand Faessler

The shape of the electron energy spectrum in 3H beta-decay permits a direct assay of the absolute scale of the neutrino mass; a highly accurate theoretical description of the electron energy spectrum is necessary to the empirical task. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Gardner , V. Bernard , U. -G. Meißner

Superallowed $0^+ \to 0^+$ nuclear beta decay provides a direct measure of the weak vector coupling constant, $\GV$. We survey current world data on the nine accurately determined transitions of this type, which range from the decay of…

Nuclear Theory · Physics 2009-10-31 J. C. Hardy , I. S. Towner

We present the first \textit{ab initio} calculations of first-forbidden $\beta$ transitions which are important for understanding the reactor antineutrino anomaly. Starting from chiral two- plus three-nucleon forces, we derive both…

Nuclear Theory · Physics 2026-03-25 X. Y. Xu , Z. Y. Meng , Z. C. Xu , F. R. Xu

We discuss a simple method to evaluate the QCD corrections to $\Delta\rho$. It assumes that the perturbative expansion in terms of $\ms$ parameters is meaningful and, unlike other studies, exploits significant available information…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Sirlin

Correlation functions measured as a function of $\Delta \eta, \Delta \phi$ have emerged as a powerful tool to study the dynamics of particle production in nuclear collisions at high energy. They are however subject, like any other…

Nuclear Experiment · Physics 2014-02-26 Shantam Ravan , Prabhat Pujahari , Sidharth Prasad , Claude A. Pruneau

In recent years, interest in experimental studies of $\beta$-decay electron spectra -- often referred to as $\beta$ spectra -- has been growing. This is particularly true for $\beta$ transitions where the electron spectra are sensitive to…

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

We have extended the formalism for the two-neutrino double beta decay by including the weak-magnetism term, as well as other second-forbidden corrections. The weak magnetism diminishes the calculated half-lives in $\sim 10%$, independently…

Nuclear Theory · Physics 2009-10-31 C. Barbero , F. Krmpotić , A. Mariano , D. Tadić

We propose a new method of the $\beta$-$\gamma$ constraint for quadrupole deformation in antisymmetrized molecular dynamics (AMD) to describe various cluster and shell-model structures in the ground and excited states of light nuclei. We…

Nuclear Theory · Physics 2014-11-20 Tadahiro Suhara , Yoshiko Kanada-En'yo

Background: The superallowed beta-decay rates provide stringent constraints on physics beyond the Standard Model of particle physics. To extract crucial information about the electroweak force, small isospin-breaking corrections to the…

Nuclear Theory · Physics 2013-05-30 W. Satula , J. Dobaczewski , W. Nazarewicz , T. R. Werner

Radiative corrections in the electroweak sector constitute an essential component in the ability to disentangle Beyond Standard Model physics from experimental data. This is particularly relevant for strongly bound systems undergoing weak…

Nuclear Theory · Physics 2019-06-25 Leendert Hayen , Nathal Severijns

Precision measurements of $\beta$-decay observables offer the possibility to search for deviations from the Standard Model. A possible discovery of such deviations requires accompanying first-principles calculations. Here we compute the…

We perform an ab initio quantum Monte Carlo calculation of the isospin-symmetry-breaking correction $\delta_C$ to the superallowed $\beta$ decay of $^{10}{\rm C}$. Using both phenomenological and chiral nuclear interactions, we evaluate the…

Nuclear Theory · Physics 2026-05-15 Maria Piarulli , R. B. Wiringa , Alessandro Lovato , Garrett B. King , Saori Pastore

We review the radiative corrections to superallowed Fermi transitions and neutron beta decay in the Standard Model, and their relevance for the universality of the Weak Interactions.

High Energy Physics - Phenomenology · Physics 2009-11-10 Alberto Sirlin

We review the status of the Standard Model theory of neutron beta decay. Particular emphasis is put on the recent developments in the electroweak radiative corrections. Given that some existing approaches give slightly different results, we…

High Energy Physics - Phenomenology · Physics 2023-11-01 Mikhail Gorchtein , Chien-Yeah Seng

The interpretation of nuclear observables in the laboratory frame in terms of the intrinsic deformation parameters beta and gamma is a classical theme in nuclear structure. Here we use the quadrupole invariants (Kumar), calculated within…

Nuclear Theory · Physics 2020-05-20 Alfredo Poves , Frederic Nowacki , Yoram Alhassid

The measurement of the beta asymmetry parameter in nuclear beta decay is a potentially very sensitive tool to search for non V-A components in the charge-changing weak interaction. To reach the required precision (percent level) all effects…

In this work, the recoil corrections to the correlation coefficients in the neutron beta decay with polarized neutron and electron are evaluated to order O(m_n^-2) in the Born approximation. Different from the usual calculations applied in…

Nuclear Theory · Physics 2023-02-10 Hui-Yun Cao , Hai-Qing Zhou