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Measuring the electron neutrino mass is a long-standing objective and requires a high energy resolution of certain $\beta$-decay experiments, as well as a visible cosmic neutrino background (C$\nu$B) spectrum. Many quantum mechanical and…

High Energy Physics - Phenomenology · Physics 2026-04-20 Karel van der Marck , Vadim Cheianov

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 differential and partially integrated cross sections are considered for bremsstrahlung from high-energy electrons in atomic field with the exact account of this field. The consideration exploits the quasiclassical electron Green's…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. N. Lee , A. I. Milstein , V. M. Strakhovenko , O. Ya. Schwarz

An eikonal expansion is developed in order to provide systematic corrections to the eikonal approximation through order 1/k^2, where k is the wave number. The expansion is applied to wave functions for the Klein-Gordon equation and for the…

Nuclear Theory · Physics 2011-07-19 J. A. Tjon , S. J. Wallace

Order $\beta_0^n \alpha_s^{n+1}$ QCD corrections to top quark decays into $W^+$ and $H^+$ bosons are computed to all orders in perturbation theory. Predictions for the radiative corrections to the top quark width are compared with the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Thomas Mehen

Analytic formulae for the one-loop order QCD corrections to the differential width of the semileptonic b decay are given with the tau polarization taken into account. Thence the polarization of tau is expressed by its energy and the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Jezabek , P. Urban

The decay of $\alpha$ particle from a nucleus is viewed as a quantum resonance state of a two-body scattering process of the $\alpha$+daughter nucleus pair governed by a novel nucleus-nucleus potential in squared Woods-Saxon form. By the…

Nuclear Theory · Physics 2017-10-11 Basudeb Sahu , Swagatika Bhoi

Coulomb and mass difference corrections to low-energy pion-nucleon scattering are calculated and compared with previous work including potential models, dispersion relation methods and chiral perturbation theory calculations. Particular…

Nuclear Theory · Physics 2011-08-17 W. R. Gibbs , R. Arceo

Data on superallowed Fermi beta decay in nuclei are compiled and electromagnetic corrections discussed. Recommended values for the weak vector coupling constant and the leading element of the Cabibbo-Kobayashi-Maskawa mixing matrix are…

Nuclear Theory · Physics 2007-05-23 I. S. Towner , E. Hagberg , J. C. Hardy , V. T. Koslowsky , G. Savard

The Coulomb correction (difference from the 1st Born approximation) to the Moli\`{e}re screening angle in multiple Coulomb scattering theory is evaluated with the allowance for inelastic contribution. The controversy between dominance of…

Atomic Physics · Physics 2021-07-27 M. V. Bondarenco

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

Coulomb dissociation is an especially simple and important reaction mechanism. Since the perturbation due to the electric field of the (target) nucleus is exactly known, firm conclusions can be drawn from such measurements. Electromagnetic…

Nuclear Theory · Physics 2011-07-19 Gerhard Baur , Kai Hencken , Dirk Trautmann

The measured $ft$-values for superallowed $0^{+} \to 0^{+}$ nuclear $\beta$-decay can be used to obtain the value of the vector coupling constant and thus to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix. An essential…

Nuclear Theory · Physics 2009-11-07 I. S. Towner , J. C. Hardy

We derive an analytic expression for the O(alpha) radiative correction to the anti-nu_e (nu_e) spectrum in allowed beta-decay. The m -> 0 limit is convergent and leads to a very simple result (m is the electron mass). This is in sharp…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Sirlin

In response to recent experimental studies we investigate Coulomb distortion effects on $(e,e')$ reactions from medium and heavy nuclei for the case of electrons and positrons. We extend our previously reported full DWBA treatment of…

Nuclear Theory · Physics 2009-11-07 K. S. Kim , L. E. Wright , D. A. Resler

We analyze the cross section for inverse beta decay, focusing on the moderate energies (a few MeV to hundreds of MeV) relevant for reactor and supernova neutrinos. We discuss the updated evaluations of values and uncertainties in the cross…

High Energy Physics - Phenomenology · Physics 2025-02-25 Giulia Ricciardi , Natascia Vignaroli , Francesco Vissani

We compute the \alpha_s^2\beta_0 part of the two-loop QCD corrections to the charged lepton spectrum in b \to c \ell \bar\nu_\ell decays and find them to be about 50\% of the first order corrections at all lepton energies, except those…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gremm , Iain Stewart

We propose a method to extract the properties of the isobaric mass parabola based on the total double $\beta$ decay energies of isobaric nuclei. Two important parameters of the mass parabola, the location of the most $\beta$-stable nuclei…

Nuclear Theory · Physics 2019-09-25 Junlong Tian , Di Yuan , Yunyi Cui , Yun Huang , Ning Wang

We compute electromagnetic radiative corrections in the inverse beta decay, $\bar{\nu}_e + p \rightarrow e^+ + n$, at reactor antineutrino energies within the heavy baryon chiral perturbation theory, provide the most accurate cross-section…

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

We reexamine the weak interaction nuclei having largest contribution to the lepton to baryon fraction Ye by coupling the stellar weak rates and mass abundances for post silicon burning conditions during the presupernova evolution of massive…

Solar and Stellar Astrophysics · Physics 2025-01-14 Asim Ullah , Jameel-Un Nabi