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The results of systematic calculations of isospin-symmetry-breaking corrections to superallowed beta-decays based on the self-consistent isospin- and angular-momentum-projected nuclear density functional theory (DFT) are reviewed with an…

Nuclear Theory · Physics 2013-07-08 W. Satula , J. Dobaczewski , M. Konieczka , W. Nazarewicz

Theoretical approaches that use one-body densities as dynamical variables, such as Hartree-Fock or the density functional theory (DFT), break isospin symmetry both explicitly, by virtue of charge-dependent interactions, and spontaneously.…

Nuclear Theory · Physics 2011-06-28 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

We present the isospin- and angular-momentum-projected nuclear density functional theory (DFT) and its applications to the isospin-breaking corrections to the superallowed beta-decay rates in the vicinity of the N=Z line. A preliminary…

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

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

We present systematic study of isospin impurities ($\alpha_{\rm ISB}$) to the wave functions of $T=1/2$, $11\leq A \leq 47$ mirror nuclei and the isospin-symmetry-breaking (ISB) corrections ($\delta_{\rm ISB}^{\rm V}$) to their ground state…

Nuclear Theory · Physics 2022-06-24 M. Konieczka , P. Bączyk , W. Satuła

Background: Small asymmetry between neutrons and protons, caused by the differences in masses and charges of the up and down constituent quarks leads to the isospin symmetry breaking. The isospin non-conservation affects broad range of…

Nuclear Theory · Physics 2021-06-02 P. Baczyk , W. Satula

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects…

Nuclear Theory · Physics 2009-09-02 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

Isospin symmetry of atomic nuclei is explicitly broken by the charge-dependent interactions, primarily the Coulomb force. Within the nuclear density functional theory, isospin is also broken spontaneously. We propose a projection scheme…

Nuclear Theory · Physics 2010-10-26 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

We extend to strongly correlated molecular systems the recently introduced basis-set incompleteness correction based on density-functional theory (DFT) [E. Giner et al., J. Chem. Phys. 149, 194301 (2018)]. This basis-set correction relies…

Chemical Physics · Physics 2020-05-20 Emmanuel Giner , Anthony Scemama , Pierre-François Loos , Julien Toulouse

Spin and isospin are essential degrees of freedom in nuclear systems, and the relevant studies on their properties play important roles not only in nuclear physics but also in nuclear astrophysics, particle physics, and so on. In this…

Nuclear Theory · Physics 2018-10-09 Haozhao Liang

Density functional theory (DFT) embedding provides a formally exact framework for interfacing correlated wave-function theory (WFT) methods with lower-level descriptions of electronic structure. Here, we report techniques to improve the…

Chemical Physics · Physics 2015-06-12 Jason D. Goodpaster , Taylor A. Barnes , Frederick R. Manby , Thomas F. 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 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

Density functional theory (DFT) is an exact alternative formulation of quantum mechanics, in which it is possible to calculate the total energy, the spin and the charge density of many-electron systems in the ground state. In practice, it…

Atomic Physics · Physics 2014-03-25 Uri Argaman , Guy Makov , Eli Kraisler

This paper overviews various phenomena related to the concept of isospin symmetry. The focus is on N~Z nuclei, which are excellent laboratories of isospin physics. The theoretical framework applied is nuclear Density Functional Theory and…

Nuclear Theory · Physics 2016-03-04 Wojciech Satula , Witold Nazarewicz

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

We present a self-interaction-corrected (SIC) density-functional-theory (DFT) approach for the description of systems with an unpaired electron or hole such as spin 1/2 defect-centers in solids or radicals. Our functional is…

Materials Science · Physics 2009-11-10 Mayeul d'Avezac , Matteo Calandra , Francesco Mauri

The atomic nucleus is a unique laboratory to study fundamental aspects of the electroweak interaction. This includes a question concerning in medium renormalization of the axial-vector current, which still lacks satisfactory explanation.…

Nuclear Theory · Physics 2018-03-14 Maciej Konieczka , Markus Kortelainen , Wojciech Satuła

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

Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

Chemical Physics · Physics 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein
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