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A simple formula is derived that describes how the Coulomb interaction affects the proton radius in nuclei. It determines the difference between neutron and proton radii in nuclei with N approx Z. It also provides an estimate for the…

Nuclear Theory · Physics 2011-02-28 N. Auerbach

A realistic evaluation of Coulomb potential has been made for some selected nuclei using the available model-independent data for the charge density and the recent development of Coulomb energy-density functional. Within the Woods-Saxon…

Nuclear Theory · Physics 2023-03-03 L. Xayavong , Y. Lim

The density functional determining the Coulomb energy of nuclei is calculated to the first order in $e^2$. It is shown that the Coulomb energy includes three terms: the Hartree energy; the Fock energy; and the correlation Coulomb energy…

Nuclear Theory · Physics 2009-11-07 V. R. Shaginyan

The electromagnetic effects of the finite size of the nucleon are implemented self-consistently on top of the Skyrme Hartree-Fock calculation, where the electric form factors of both protons and neutrons are considered. Furthermore, the…

Nuclear Theory · Physics 2020-06-17 Tomoya Naito , Xavier Roca-Maza , Gianluca Colò , Haozhao Liang

Nuclei are self-bound systems in which the strong interaction (nuclear force) plays a dominant role and the isospin is approximately a good quantum number. The isospin symmetry is primarily violated by the electromagnetic interactions,…

Nuclear Theory · Physics 2025-05-05 Kenta Hagihara , Takashi Nakatsukasa , Nobuo Hinohara

Both the Coulomb interaction and isospin symmetry breaking (ISB) parts of the nuclear interaction break the isospin symmetry in atomic nuclei. Effects of these two kinds of interaction on properties of atomic nuclei, especially, the mass…

Nuclear Theory · Physics 2023-06-22 Tomoya Naito , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza , Hiroyuki Sagawa

Interference terms between monopole and quadrupole Coulomb form factors that contribute to the cross-section of electron scattering from polarized nuclei are studied within the plane wave Born approximation. By experimentally exploring the…

Nuclear Theory · Physics 2024-02-14 Pedro Sarriguren

We present a fully self-consistent computational framework composed by Hartree-Fock plus ran- dom phase approximation where the spin-orbit and Coulomb terms of the interaction are included in both steps of the calculations. We study the…

Nuclear Theory · Physics 2015-06-18 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

We employ a variational method, in the framework of the Thomas-Fermi approximation, to study the effect of the symmetry energy on the neutron skin thickness and the symmetry energy coefficients of various neutron rich nuclei. We concentrate…

Nuclear Theory · Physics 2017-05-17 M. C. Papazoglou , Ch. C. Moustakidis

New polarization potentials have been determined based on: 1) the latest photo-neutron cross section evaluation and a missing factor of two in previous work, and 2) the mass dependency of the symmetry energy, $a_{sym}(A)$. The magnitude of…

Nuclear Experiment · Physics 2016-03-03 Nico Orce

We have constructed a perturbation theory to treat interactions that can include the Coulomb interaction, describing a physical problem that is often encountered in nuclear physics. The Coulomb part is not treated perturbatively; the exact…

Quantum Physics · Physics 2023-05-09 Scott E. Hoffmann

The influence of nuclear isospin mixing on parity-violating elastic electron scattering is studied for the even-even, N=Z nuclei 12C, 24Mg, 28Si, and 32S. Their ground-state wave functions have been obtained using a self-consistent…

Nuclear Theory · Physics 2009-08-20 O. Moreno , P. Sarriguren , E. Moya de Guerra , J. M. Udias , T. W. Donnelly , I. Sick

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

Nuclear and Coulomb breakup of halo nuclei have been treated often as incoherent processes and structure information have been extracted from their study. The aim of this paper is to clarify whether interference effects and Coulomb-nuclear…

Nuclear Theory · Physics 2009-11-07 J. Margueron , A. Bonaccorso , D. M. Brink

The rapid falloff of the oscillator functions at large radius (Gaussian asymptotics) makes them poorly suited for the description of the asymptotic properties of the nuclear wave function, a problem which becomes particularly acute for halo…

Nuclear Theory · Physics 2014-09-02 M. A. Caprio , P. Maris , J. P. Vary

The effect of correlations between the slope and the curvature of the symmetry energy on ground state nuclear observables is studied within the extended Thomas-Fermi approximation. We consider different isovector probes of the symmetry…

Nuclear Theory · Physics 2018-06-20 Ad. R. Raduta , F. Gulminelli

A recapitulatory analysis of total nuclear cross sections of various nuclei is presented, which yields detailed knowledge on the different physical processes such as potential/resonance scatter and nuclear reactions. The physical base for…

Medical Physics · Physics 2010-09-07 W. Ulmer , E. Matsinos

Based on the quantum interference between two-identical-nucleus scattering at energies around the Coulomb barrier, the barrier positions for $^{58}$Ni+$^{58}$Ni and $^{16}$O+$^{16}$O are extracted from Mott oscillations in the angular…

Nuclear Theory · Physics 2018-07-31 Ning Wang , Yongxu Yang , Min Liu , Chengjian Lin

We review the status and prospects of theoretical studies of neutrino-nucleus interactions, and discuss the influence of the treatment of nuclear effects on the determination of oscillation parameters. The models developed to describe the…

Nuclear Theory · Physics 2017-11-01 Omar Benhar , Patrick Huber , Camillo Mariani , Davide Meloni

The first discussion of basis sets consisting of exponentially decaying Coulomb Sturmian functions for modelling electronic structures is presented. The proposed basis set construction selects Coulomb Sturmian functions using separate upper…

Chemical Physics · Physics 2019-01-23 Michael F. Herbst , James Emil Avery , Andreas Dreuw
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