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We present new nuclear matter calculations based on low-momentum interactions derived from chiral effective field theory potentials. The current calculations use an improved treatment of the three-nucleon force contribution that includes a…

Nuclear Theory · Physics 2011-03-10 K. Hebeler , S. K. Bogner , R. J. Furnstahl , A. Nogga , A. Schwenk

The HFB3 program solves the axial nuclear Hartree-Fock-Bogoliubov (HFB) equations using bases formed by either one or two sets of deformed Harmonic Oscillator (HO) solutions with D1-type and D2-type Gogny effective nucleon-nucleon…

Towards identifying the number of minimal surfaces sharing the same boundary from the geometry of the boundary, we propose a numerical scheme with high speed and high accuracy. Our numerical scheme is based on the method of fundamental…

Numerical Analysis · Mathematics 2022-12-14 Koya Sakakibara , Yuuki Shimizu

We describe the first version (v1.00) of the code HFBRAD which solves the Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov equations in the coordinate representation within the spherical symmetry. A realistic representation of the…

Nuclear Theory · Physics 2009-11-11 K. Bennaceur , J. Dobaczewski

The Lagrange-mesh method has the simplicity of a calculation on a mesh and can have the accuracy of a variational method. It is applied to the study of a confined helium atom. Two types of confinement are considered. Soft confinements by…

Computational Physics · Physics 2015-06-02 Daniel Baye , Jérémy Dohet-Eraly

Microscopic methods and tools to describe nuclear dynamics have considerably been improved in the past few years. They are based on the time-dependent Hartree-Fock (TDHF) theory and its extensions to include pairing correlations and quantum…

Nuclear Theory · Physics 2018-09-13 C. Simenel , A. S. Umar

We introduce a new framework for the low-energy nuclear structure calculations, which describes the single-particle wave function as a superposition of localized Gaussians. It is a hybrid of the Hartree-Fock and antisymmetrized molecular…

Nuclear Theory · Physics 2024-08-01 Masaaki Kimura , Yasutaka Taniguchi

Background: For nuclei heavier than $^{208}$Pb $\alpha$ decay is a dominating decay mode, and in the search of new superheavy elements one often observes chains of $\alpha$ decays. Purpose: Explore and test microscopic descriptions of…

Nuclear Theory · Physics 2014-02-11 D. E. Ward , B. G. Carlsson , S. Åberg

The Lagrange-mesh method is an approximate variational method taking the form of equations on a grid because of the use of a Gauss quadrature approximation. With a basis of Lagrange functions involving associated Laguerre polynomials…

Atomic Physics · Physics 2014-04-23 Daniel Baye , Livio Filippin , Michel Godefroid

We employ Non-equilibrium Green's functions (NEGF) to describe the real-time dynamics of an adsorbate-surface model system exposed to ultrafast laser pulses. For a finite number of electronic orbitals, the system is solved exactly and…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 E. Boström , M. Hopjan , A. Kartsev , C. Verdozzi , C. -O. Almbladh

In many applications to finite Fermi-systems, the pairing problem has to be treated exactly. We suggest a numerical method of exact solution based on SU(2) quasispin algebras and demonstrate its simplicity and practicality. We show that the…

Nuclear Theory · Physics 2008-11-26 Alexander Volya , B. Alex Brown , Vladimir Zelevinsky

We study nuclear symmetry energy and the thermodynamic instabilities of asymmetric nuclear matter in a self-consistent manner by using a modified quark-meson coupling model where the confining interaction for quarks inside a nucleon is…

Nuclear Theory · Physics 2015-12-16 R. N. Mishra , H. S. Sahoo , P. K. Panda , N. Barik , T. Frederico

In this manuscript we provide an outline of the numerical methods used in implementing the density constrained time-dependent Hartree-Fock (DC-TDHF) method and provide a few examples of its application to nuclear fusion. In this approach,…

Nuclear Theory · Physics 2015-02-16 V. E. Oberacker , A. S. Umar

The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equation is a system of nonlinear eigenvalue problems, the study of…

Analysis of PDEs · Mathematics 2023-06-23 Sohei Ashida

We constrain general Dirac neutrino interactions based on the Standard Model Effective Field Theory framework extended with right-handed neutrinos $N$ (SMNEFT) using deep inelastic and coherent elastic neutrino scattering, nuclear beta…

High Energy Physics - Phenomenology · Physics 2021-06-08 Tao Han , Jiajun Liao , Hongkai Liu , Danny Marfatia

The lattice Hamiltonian method is developed for solving the Vlasov equation with nuclear mean-field based on the Skyrme pseudopotential up to next-to-next-to-next-to leading order. The ground states of nuclei are obtained through varying…

Nuclear Theory · Physics 2019-05-07 Rui Wang , Lie-Wen Chen , Zhen Zhang

On the way of a microscopic derivation of covariant density functionals, the first complete solution of the relativistic Brueckner-Hartree-Fock (RBHF) equations is presented for symmetric nuclear matter. In most of the earlier…

Nuclear Theory · Physics 2021-09-22 Peter Ring , Sibo Wang , Qiang Zhao , Jie Meng

Selfconsistent Hartree-Fock-Bogoliubov (HFB) calculations have been performed with the Gogny force for nuclei along several constant Z and constant N chains, with the purpose of extracting the macroscopic part of the binding energy using…

Nuclear Theory · Physics 2009-11-07 M. Kleban , B. Nerlo-Pomorska , J. F. Berger , J. Dechargé , M. Girod , S. Hilaire

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Nuclear Theory · Physics 2010-12-02 M. Stoitsov , M. Kortelainen , S. K. Bogner , T. Duguet , R. J. Furnstahl , B. Gebremariam , N. Schunck

The accurate description of molecule-surface interactions requires a detailed knowledge of the underlying potential-energy surface (PES). Recently, neural networks (NNs) have been shown to be an efficient technique to accurately interpolate…

Materials Science · Physics 2009-11-13 Jorg Behler , Sonke Lorenz , Karsten Reuter