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Related papers: Skyrme Functional with Tensor Terms from ab initio…

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The purpose of this paper is to investigate the use of the TDHF method with different Skryme force interactions for the prediction of the M1 strength function associated with $^{52}$Cr, in particular due to the tensor part of the Skyrme…

Nuclear Theory · Physics 2017-09-25 M. C. Barton , P. D. Stevenson

We study the predictive power of Skyrme forces with respect to low lying quadrupole spectra along the chains of Sn, Cd, and Te isotopes. Excitation energies and B(E2) values for the lowest quadrupole states are computed from a collective…

Nuclear Theory · Physics 2009-11-10 P. Fleischer , P. Kluepfel , P. -G. Reinhard , J. A. Maruhn

The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an…

Nuclear Theory · Physics 2015-06-18 D. Davesne , A. Pastore , J. Navarro

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

The excitation functions of proton elastic scattering on $^{12}$C and $^{14,15}$O nuclei at the energies near the proton-emission threshold are calculated using the Skyrme Hartree-Fock (SHF) in continuum approach. For each excitation…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Young-ho Song , Minh-Loc Bui

We explore the viability of using solely spacelike information about a Schwinger function to extract properties of bound states. In a concrete example it is not possible to determine properties of states with masses \gsim 1.2 GeV. Modern…

Nuclear Theory · Physics 2008-11-26 A. Hoell , P. Maris , C. D. Roberts , S. V. Wright

The excitation function of proton elastic scattering from $^{10}$Be at keV energy is calculated using the self-consistent Skyrme Hartree-Fock in the continuum method. The calculation successfully reproduces the narrow near-threshold…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Naftali Auerbach , Vladimir Zelevinsky

In one way or the other, all modern parametrizations of the nuclear energy density functional (EDF) do not respect the exchange symmetry associated with Pauli's principle. It has been recently shown that this practice jeopardizes…

Nuclear Theory · Physics 2014-06-25 J. Sadoudi , T. Duguet , J. Meyer , M. Bender

In a recent paper [Phys. Rev. C 101, 014305 (2020)], Dong and Shang claim that the Skyrme original tensor interaction is invalid. Their conclusion is based on the misconception that the Fourier transform of tensor interaction is difficult…

Nuclear Theory · Physics 2021-09-15 H. Sagawa , G. Colò , Ligang Cao

The formalism of linear response theory for Skyrme forces including tensor terms presented in article [1] is generalized for the case of a Skyrme energy density functional in infinite matter. We also present analytical results for the…

Nuclear Theory · Physics 2015-06-04 A. Pastore , D. Davesne , Y. Lallouet , M. Martini , K. Bennaceur , J. Meyer

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

The coupled dynamics of low lying modes and various giant resonances are studied with the help of the Wigner Function Moments method on the basis of Time Dependent Hartree-Fock equations in the harmonic oscillator model including spin-orbit…

Nuclear Theory · Physics 2015-06-12 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

I have investigated the $N$-dependence of the charge radii $r_c$ across $N=126$ in the Pb isotopes and the surface densities of $^{208}$Pb using new Skyrme interactions that contain a density-dependent spin-orbit term, which I have named…

Nuclear Theory · Physics 2022-09-26 Yoshiko Kanada-En'yo

We study the effect of the splitting of neutron and proton effective masses with isospin asymmetry on the properties of the Skyrme energy density functional. We discuss the ability of the latter to predict observable of infinite matter and…

Nuclear Theory · Physics 2009-11-11 T. Lesinski , K. Bennaceur , T. Duguet , J. Meyer

We define a class of tensor network states for spin systems where the individual tensors are functionals of fields. The construction is based on the path integral representation of correlators of operators in quantum field theory. These…

Statistical Mechanics · Physics 2021-04-20 Anne E. B. Nielsen , Benedikt Herwerth , J. Ignacio Cirac , Germán Sierra

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

The Hohenberg-Kohn theorem and Kohn-Sham procedure are extended to functionals of the localized intrinsic density of a self-bound system such as a nucleus. After defining the intrinsic-density functional, we modify the usual Kohn-Sham…

Nuclear Theory · Physics 2008-11-26 J. Engel

Using a density functional approach based on a Skyrme interaction, thermodynamic properties of finite nuclei are investigated at non-zero temperture. The role of a momentum dependent isovector term is now studied besides volume, symmetry,…

Nuclear Theory · Physics 2009-12-31 S. J. Lee , A. Z. Mekjian

Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

Spin-weighted spherical functions provide a useful tool for analyzing tensor-valued functions on the sphere. A tensor field can be decomposed into complex-valued functions by taking contractions with tangent vectors on the sphere and the…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Michael Boyle