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We discuss some special aspects of the nuclear many-body problem related to isospin transfer. The major quantity of interest is the in-medium propagator of a particle-hole configuration of the proton-neutron character, which determines the…

Nuclear Theory · Physics 2019-05-23 Elena Litvinova , Caroline Robin , Peter Schuck

The charge-exchange excitations in nuclei are studied within the fully self-consistent proton-neutron quasiparticle random-phase approximation using the finite-range Gogny interaction. No additional parameters beyond those included in the…

Nuclear Theory · Physics 2015-06-19 M. Martini , S. Péru , S. Goriely

Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the $\beta$-decay of a neutron, including possible in-medium and isospin…

Nuclear Theory · Physics 2011-02-16 P. A. M. Guichon , A. W. Thomas , K. Saito

Gamow-Teller strength functions in full $(pf)^{8}$ spaces are calculated with sufficient accuracy to ensure that all the states in the resonance region have been populated. Many of the resulting peaks are weak enough to become unobservable.…

Nuclear Theory · Physics 2009-01-23 E. Caurier , A. Poves , A. P. Zuker

The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections {\delta}c for the…

Nuclear Theory · Physics 2015-03-19 Z. X. Li , J. M. Yao , H. Chen

We present the results of a Bayesian analysis of solar and KamLAND neutrino data in the framework of three-neutrino mixing. We adopt two approaches for the prior probability distribution of the oscillation parameters Delta m^2_{21}, sin^2…

High Energy Physics - Phenomenology · Physics 2010-04-28 H. L. Ge , C. Giunti , Q. Y. Liu

For the first time, the $(d,{}^2\text{He})$ reaction was successfully used in inverse kinematics to extract the Gamow-Teller transition strength in the $\beta^{+}$ direction from an unstable nucleus. The nucleus studied was $^{14}$O, and…

Gamow-Teller(GT) transitions in the $\beta$ decays of $^9$Li and $^{11}$Li are investigated with theoretical calculations of antisymmetrized molecular dynamics. The calculated $B(GT)$ values are small for transitions to low-lying states in…

Nuclear Theory · Physics 2010-04-14 Yoshiko Kanada-En'yo

Weak interaction charged current transition strengths from highly excited nuclear states are fundamental ingredients for accurate modeling of compact object composition and dynamics, but are difficult to obtain either from experiment or…

Nuclear Theory · Physics 2022-02-09 Raul A. Herrera , Calvin W. Johnson , George M. Fuller

We propose a novel Hermite-Taylor correction function method to handle embedded boundary and interface conditions for Maxwell's equations. The Hermite-Taylor method evolves the electromagnetic fields and their derivatives through order $m$…

Numerical Analysis · Mathematics 2025-04-15 Yann-Meing Law , Daniel Appelö , Thomas Hagstrom

We investigated effects of neutron-proton ($np$) pairing correlations comprising isoscalar (IS) and isovector (IV) component on Gamow-Teller (GT) transitions of $^{56, 58,62,64}$Ni by taking into account nuclear deformation in a deformed…

Nuclear Theory · Physics 2020-01-08 Eunja Ha , Myung-Ki Cheoun

The Lieb-Schultz-Mattis theorem and its higher dimensional generalizations by Oshikawa and Hastings require that translationally invariant 2D spin systems with a half-integer spin per unit cell must either have a continuum of low energy…

Strongly Correlated Electrons · Physics 2017-07-26 Meng Cheng , Michael Zaletel , Maissam Barkeshli , Ashvin Vishwanath , Parsa Bonderson

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

The Landau-Migdal parameter $G'_0$ characterizes the main part of the spin-isospin dependent nucleon-nucleon interaction. Consequently, the $G'_0$ is closely related to the Gamow-Teller resonance (GTR), the beta and double-beta decay rates…

Nuclear Theory · Physics 2026-04-07 Zidu Lin , Gianluca Colò , A. W. Steiner , Amber Stinson

A fully analytical description of the allowed $\beta$ spectrum shape is given in view of ongoing and planned measurements. Its study forms an invaluable tool in the search for physics beyond the standard electroweak model and the weak…

Nuclear Theory · Physics 2018-06-01 Leendert Hayen , Nathal Severijns , Kazimierz Bodek , Xavier Mougeot , Dagmara Rozpedzik

Pioneering study of Gamow-Teller (GT) and Fermi matrix elements (MEs) using no-core-configuration-interaction formalism rooted in multi-reference density functional theory is presented. After successful test performed for 6He -> 6Li…

Nuclear Theory · Physics 2016-04-13 M. Konieczka , P. Baczyk , W. Satula

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

In this thesis we study field theories written on a particular model of noncommutative spacetime, the Groenewold-Moyal (GM) plane. We start with briefly reviewing the novel features of field theories on GM plane e.g. the $\ast$-product,…

High Energy Physics - Theory · Physics 2013-09-03 Rahul Srivastava

The beta-decay process of the $^6$He halo nucleus into the alpha+d continuum is studied in a three-body model. The $^6$He nucleus is described as an alpha+n+n system in hyperspherical coordinates on a Lagrange mesh. The convergence of the…

Nuclear Theory · Physics 2014-11-18 E. M. Tursunov , D. Baye , P. Descouvemont

We propose a new model to calculate stellar electron capture rates for neutron-rich nuclei. These nuclei are encountered in the core-collapse of a massive star. Using the Shell Model Monte Carlo approach, we first calculate the finite…

Nuclear Theory · Physics 2009-11-06 K. Langanke , E. Kolbe , D. J. Dean
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