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Related papers: Isospin-mixing corrections for fp-shell Fermi tran…

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We use a $4\hbar\Omega$ shell-model calculation with a two-body effective interaction derived microscopically from the Reid93 potential to calculate the isospin-mixing correction for the 10C->10B superallowed Fermi transition. The effective…

Nuclear Theory · Physics 2008-11-26 P. Navratil , B. R. Barrett , W. E. Ormand

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

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

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

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 investigate the radial-overlap part of the isospin-symmetry breaking correction to superallowed $0^+\to 0^+$-decay using the shell-model approach similar to that of Refs. [1, 2]. The 8 sd-shell emitters with masses between $A=22$ and…

Nuclear Theory · Physics 2016-12-26 L. Xayavong , N. A. Smirnova , M. Bender , K. Bennaceur

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

We study Fermi transitions and isospin mixing in an isotopic chain 70-78 Kr considering various approximations that use the same Skyrme-Hartree-Fock single particle basis. We study Coulomb effects as well as the effect of BCS and…

Nuclear Theory · Physics 2009-11-11 R. Alvarez-Rodriguez , E. Moya de Guerra , P. Sarriguren

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

A new method has been proposed for isolated two-level model to calculate isospin mixing probability in nuclei overcoming common limitations of usual shell model results with isoscalar nuclear Hamiltonian. The method is based on locating the…

Nuclear Theory · Physics 2023-07-11 Sukhendusekhar Sarkar

The isospin-symmetry breaking correction, denoted as $\delta_C$, is introduced for the first time within the shell-model framework to the nuclear matrix element of Gamow-Teller transitions. $\delta_C$ is separated into two components: the…

Nuclear Theory · Physics 2023-12-14 Latsamy Xayavong , Yeunhwan Lim

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

Prompted by recent measurements, we have surveyed world data and calculated radiative and isospin-symmetry breaking corrections for the superallowed 0+ -to- 0+ Fermi transitions from 42Ti, 46Cr, 50Fe and 54Ni. This increases the number of…

Nuclear Theory · Physics 2015-12-09 I. S. Towner , J. C. Hardy

We study the formalism to include isospin-symmetry-breaking corrections when extracting the up-down Cabibbo-Kobayashi-Maskawa matrix element from superallowed 0+ -> 0+ nuclear beta decay. We show that there are no first order…

Nuclear Theory · Physics 2009-08-12 G. A. Miller , A. Schwenk

There is a well known anomaly between the value of the Fermi decay constant extracted from super-allowed Fermi beta-decay of nuclear isotriplets and that required by unitarity of the Cabibbo-Kobayashi-Maskawa matrix. This discrepancy…

Nuclear Theory · Physics 2010-02-17 Koichi Saito , Anthony W. Thomas

We investigate isospin-symmetry breaking effects in the sd-shell region with large-scale shell-model calculations, aiming to understand the recent anomalies observed in superallowed Fermi beta-decay. We begin with calculations of Coulomb…

Nuclear Theory · Physics 2017-10-11 K. Kaneko , Y. Sun , T. Mizusaki , S. Tazaki , S. K. Ghorui

Gamow-Teller and Fermi transitions are considered in a HF+BCS+pnQRPA theoretical framework. We show here how Gamow-Teller strength distributions can be used in a search for signatures of nuclear deformation in neutron deficient Pb, Hg and…

Nuclear Theory · Physics 2007-05-23 R. Alvarez-Rodriguez , E. Moya de Guerra , P. Sarriguren , O. Moreno

This article presents an investigation of isospin equilibration in cross-bombarding $^{40,48}$Ca$+^{40,48}$Ca reactions at 35 MeV/nucleon, by comparing experimental data with filtered transport model calculations. Isospin diffusion is…

With stochastic transport simulations we study in detail central and peripheral collisions at Fermi energies and suggest new observables, sensitive to the symmetry energy below normal density. As such we identify on one hand the isospin…

Nuclear Theory · Physics 2017-08-23 H. H. Wolter , J. Rizzo , M. Colonna , M. Di Toro , V. Greco , V. Baran , M. Zielinska-Pfabe

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 2010-11-23 J. C. Hardy , I. S. Towner
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