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Refined calculations of the radial mismatch correction, $\delta_{C2}$, to superallowed $0^+\rightarrow0^+$ nuclear $\beta$ decay are performed using the shell model with realistic Woods-Saxon radial wave functions. Two important…

Nuclear Theory · Physics 2025-08-26 L. Xayavong , N. A. Smirnova , F. Nowacki

We present a test with which to evaluate the calculated isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay. The test is based on the corrected experimental Ft values being required to satisfy conservation of…

Nuclear Theory · Physics 2010-12-24 I. S. Towner , J. C. Hardy

We report new shell-model calculations of the isospin-symmetry-breaking correction to superallowed nuclear beta decay. The most important improvement is the inclusion of core orbitals, which are demonstrated to have a significant impact on…

Nuclear Theory · Physics 2008-11-26 I. S. Towner , J. C. Hardy

Radiative corrections are essential for an accurate determination of $V_{ud}$ from superallowed $\beta$ decays. In view of recent progress in the single-nucleon sector, the uncertainty is dominated by the theoretical description of…

The superallowed beta-decay rates that provide stringent constraints on physics beyond the Standard Model of particle physics are affected by nuclear structure effects through isospin-breaking corrections. The self-consistent isospin- and…

Nuclear Theory · Physics 2011-04-05 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

We present a comprehensive re-evaluation of the $ft$ values in superallowed nuclear $\beta$ decays crucial for the precise determination of $V_{ud}$ and low-energy tests of the electroweak Standard Model. It consists of the first, fully…

Nuclear Theory · Physics 2024-04-11 Chien-Yeah Seng , Mikhail Gorchtein

Superallowed $0^+\rightarrow 0^+$ transitions between $T=1$ nuclei have been a perfect avenue avenue for determining the Cabibbo-Kobayashi-Maskawa matrix element $V_{ud}$, which imposes powerful constraints on physics beyond the Standard…

Nuclear Theory · Physics 2025-08-22 Chien-Yeah Seng

We study the shell-model formalism to include the isospin-symmetry-breaking correction ($\delta_{C}$) to nuclear matrix element of superallowed $0^+\to 0^+$ Fermi $\beta$ decays of $T=1$ nuclei. Based on a perturbation expansion in a small…

Nuclear Theory · Physics 2022-01-05 Latsamy Xayavong , Nadezda Smirnova

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

Starting with the basic Lagrangian of the Standard Model, the radiative corrections to the neutron beta-decay are acquired. The electroweak interactions are consistently taken into consideration amenably to the Weinberg-Salam theory. The…

High Energy Physics - Phenomenology · Physics 2016-09-06 G. G. Bunatian

We review the current status of precision measurements in allowed nuclear beta decay, including neutron decay, with emphasis on their potential to look for new physics beyond the standard electroweak model. The experimental results are…

Nuclear Experiment · Physics 2008-11-26 N. Severijns , M. Beck , O. Naviliat-Cuncic

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

Recently, we have applied for the first time the angular momentum and isospin projected nuclear density functional theory to calculate the isospin-symmetry breaking (ISB) corrections to the superallowed beta-decay. With the calculated set…

Nuclear Theory · Physics 2012-11-20 M. Rafalski , W. Satula

The radial overlap correction, $\delta_{RO}$ is re-examined for 30 superallowed $\beta$ decays using the shell model with Hartree-Fock (HF) radial wave functions. Our calculation is based on the Skyrme interaction including Coulomb,…

Nuclear Theory · Physics 2022-04-20 Latsamy Xayavong , Nadezda Smirnova

After application of an analytical transformation, a new exact representation for the nuclear isospin-symmetry breaking correction $\delta_C$ to superallowed beta decay is obtained. The correction is shown to be essentially the reciprocal…

Nuclear Theory · Physics 2015-06-05 Vadim Rodin

We calculate the O(\alpha) electroweak corrections to charged- and neutral-current deep-inelastic neutrino scattering off an isoscalar target. The full one-loop-corrected cross sections, including hard photonic corrections, are evaluated…

High Energy Physics - Phenomenology · Physics 2011-09-13 K. -P. O. Diener

The status of tests of the standard electroweak model and of searches for new physics in allowed nuclear $\beta$ decay and neutron decay is reviewed including both theoretical and experimental developments. The sensitivity and…

High Energy Physics - Phenomenology · Physics 2018-12-05 Martin Gonzalez-Alonso , Oscar Naviliat-Cuncic , Nathal Severijns

Precision measurements in allowed nuclear beta decays and neutron decay are reviewed and analyzed both within the Standard Model and looking for new physics. The analysis incorporates the most recent experimental and theoretical…

High Energy Physics - Phenomenology · Physics 2021-07-06 Adam Falkowski , Martín González-Alonso , Oscar Naviliat-Cuncic

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

Self-consistent random phase approximation (RPA) approaches in the relativistic framework are applied to calculate the isospin symmetry-breaking corrections $\delta_c$ for the $0^+\to0^+$ superallowed transitions. It is found that the…

Nuclear Theory · Physics 2009-08-03 Haozhao Liang , Nguyen Van Giai , Jie Meng
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