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The $\alp-\alp$ interaction potential is obtained within the double folding model with density-dependent Gogny effective interactions as input. The one nucleon knock-on exchange kernel including recoil effects is localized using the…

Nuclear Theory · Physics 2013-10-18 M. Lassaut , F. Carstoiu , V. Balanica

Quantum chromodynamics and the electroweak theory at low energies are prominent instances of the combination of a short-range and a long-range interaction. For the description of light nuclei, the large nucleon-nucleon scattering lengths…

Nuclear Theory · Physics 2016-03-23 J. Kirscher , D. Gazit

Potential Energy Surface for the ($\mathrm{\bar{p}} - \mathrm{He}^{2+} - \mathrm{He}$) system is calculated in the framework of the restricted (singlet spin state) Hartree-Fock method with subsequent account of the electronic correlations…

Nuclear Theory · Physics 2017-06-29 S. N. Yudin , I. V. Bodrenko , G. Ya. Korenman

We propose a pseudopotential for the electron-electron Coulomb interaction to improve the efficiency of many-body electronic structure calculations. The pseudopotential accurately replicates the scattering properties of the Coulomb…

Strongly Correlated Electrons · Physics 2015-09-02 J. H. Lloyd-Williams , R. J. Needs , G. J. Conduit

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

Atomic Physics · Physics 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

The cross sections of the $^3$He($\alpha$,$\alpha$)$^3$He and $^3$He($\alpha$,$\gamma$)$^7$Be reactions are studied at low energies using a simple two-body model in combination with a double-folding potential. At very low energies the…

Nuclear Theory · Physics 2009-07-09 P. Mohr

$\text{BaBiO}_{3}$ compound is known as an archetype example of a three-dimensional Holstein model with the realization of the charge density wave state at half-filling and the superconducting state when doped. Although many works are…

This work studies the non-perturbative Coulomb corrections to the He-3 binding energy, magnetic moment, and charge and magnetic radii in leading-order (LO) Pionless Effective Field Theory (Pionless EFT). The splitting between He-3 and H-3…

Nuclear Theory · Physics 2026-04-29 Xincheng Lin

3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb…

Nuclear Theory · Physics 2011-02-01 Shung-ichi Ando , Michael C. Birse

We report on a methodology for the treatment of the Coulomb energy and potential in Kohn-Sham density functional theory that is free from self-interaction effects. Specifically, we determine the Coulomb potential given as the functional…

Materials Science · Physics 2016-06-29 M. Däne , A. Gonis , D. M. Nicholson , G. M. Stocks

The optimized effective potential (OEP) approach has so far mainly been used in benchmark studies and for the evaluation of band gaps. In this work, we extend the application of the OEP by determining the analytical ionic forces within the…

Materials Science · Physics 2024-09-13 Damian Contant , Maria Hellgren

We have determined an atom-surface interaction potential for the He$-$Bi$_2$Te$_3$(111) system by analysing ultrahigh resolution measurements of selective adsorption resonances. The experimental measurements were obtained using $^3$He…

For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+\beta^q)^{\frac{1}{q}}}, with the parameters Z>0, \beta>0, q \ge 1, it is shown analytically that the potentials and eigenvalues, E_{\nu\ell}, are…

Mathematical Physics · Physics 2015-05-13 Richard L. Hall , Nasser Saad , K. D. Sen , Hakan Ciftci

We compute from first principles the effective interaction parameters appropriate for a low-energy description of the rare-earth nickelate LuNiO$_{3}$ involving the partially occupied $e_g$ states only. The calculation uses the constrained…

We treat low-energy $^3$He-$\alpha$ elastic scattering in an Effective Field Theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to Next-to-Next-to-Leading Order (NNLO), developing a hierarchy…

Nuclear Theory · Physics 2022-07-06 Maheshwor Poudel , Daniel R. Phillips

A lepton-neutron potential in configuration space is obtained. It is based on the Coulomb plus hyperfine interaction Hamiltonian integrated over the neutron charge and magnetic densities. Different parametrisations of the neutron…

High Energy Physics - Phenomenology · Physics 2024-05-07 Jaume Carbonell , Tobias Frederico

Different models for conserved two- and three-body electromagnetic currents are constructed from two- and three-nucleon interactions, using either meson-exchange mechanisms or minimal substitution in the momentum dependence of these…

Nuclear Theory · Physics 2014-11-18 L. E. Marcucci , M. Viviani , R. Schiavilla , A. Kievsky , S. Rosati

The effective on-site Coulomb interaction (Hubbard $U$) between localized \textit{d} electrons in 3\textit{d}, 4\textit{d}, and 5\textit{d} transition metals is calculated employing a new parameter-free realization of the constrained…

Strongly Correlated Electrons · Physics 2015-05-27 Ersoy Sasioglu , Christoph Friedrich , Stefan Blügel

Using effective-lagrangian techniques we perform a systematic survey of the lowest-dimension effective interactions through which heavy physics might manifest itself in present experiments. We do not restrict ourselves to special classes of…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. P. Burgess , S. Godfrey , H. König , D. London , I. Maksymyk

The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state…

Nuclear Theory · Physics 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini
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