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A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by \textit{ab…

Nuclear Theory · Physics 2019-03-22 Shihang Shen , Gianluca Colò , Xavier Roca-Maza

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters…

Nuclear Theory · Physics 2009-11-07 Jerome Margueron , Jesus Navarro , Van Giai Nguyen

The tensor force, as an important component of strong nuclear force, generates a variety of intriguing effects ranging from few-body systems to neutron stars. It is responsible for the nucleon-nucleon correlation beyond mean-field…

Nuclear Theory · Physics 2020-01-10 J. M. Dong , X. L. Shang

The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim…

Nuclear Theory · Physics 2015-06-19 P. Becker , D. Davesne , J. Meyer , A. Pastore , J. Navarro

We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40,…

Nuclear Theory · Physics 2009-12-14 M. Bender , K. Bennaceur , T. Duguet , P. -H. Heenen , T. Lesinski , J. Meyer

The density dependent term in Skyrme forces is essential, which simulates three-body and many-body correlations beyond the low-momentum two-body interaction. We speculate that a single density term may be insufficient and a higher-order…

Nuclear Theory · Physics 2018-05-01 Z. W. Zuo , J. C. Pei , X. Y. Xiong , Y. Zhu

Infinite sets of sum rules involving the excitations of infinite nuclear matter are derived using only completeness, the current algebra implicit in QCD, and relativistic covariance. The sum rules can be used for isospin-asymmetric nuclear…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , Wojciech Broniowski

A density dependent, effective nucleon-nucleon force of the Skyrme type is derived from the quark-meson coupling model -- a self-consistent, relativistic quark level description of nuclear matter. This new formulation requires no assumption…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , H. H. Matevosyan , N. Sandulescu , A. W. Thomas

We present the covariance analysis of two successful nuclear energy density functionals, (i) a non-relativistic Skyrme functional built from a zero-range effective interaction, and (ii) a relativistic nuclear energy density functional based…

Nuclear Theory · Physics 2016-11-25 X. Roca-Maza , N. Paar , G. Colò

The sum rule formalism is used to evaluate rigorous bounds for the density and current static response functions in superfluid helium at zero temperature. Both lower and upper bounds are considered. The bounds are expressed in terms of…

Condensed Matter · Physics 2009-10-22 F. Dalfovo , S. Stringari

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

The Skyrme energy density functional has been applied to the study of heavy-ion fusion reactions. The barriers for fusion reactions are calculated by the Skyrme energy density functional with proton and neutron density distributions…

Nuclear Theory · Physics 2009-11-11 Min Liu , Ning Wang , Zhuxia Li , Xizhen Wu , Enguang Zhao

The linear response of the nucleus to an external field contains unique information about the effective interaction, correlations, and properties of its excited states. To characterize the response, it is useful to use its energy-weighted…

Nuclear Theory · Physics 2015-04-28 Nobuo Hinohara , Markus Kortelainen , Witold Nazarewicz , Erik Olsen

A shortlist of Skyrme force parameterizations, recently found to have passed a series of constraints relating to nuclear matter properties is analyzed for their ability to reproduce data in finite nuclei. We analyse binding energies,…

Nuclear Theory · Physics 2015-06-11 P. D. Stevenson , P. M. Goddard , J. R. Stone , M. Dutra

We present a new equation of state for infinite systems (symmetric, asymmetric and neutron matter) based on an extended Skyrme functional constrained by microscopic Brueckner-Bethe-Goldstone results. The resulting equation of state…

Nuclear Theory · Physics 2015-12-23 D. Davesne , A. Pastore , J. Navarro

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of…

Nuclear Theory · Physics 2022-06-28 Cheng Peng , Zhao-Qing Feng

Within the relativistic Brueckner-Hartree-Fock theory in the full Dirac space, the tensor-force effects on infinite nuclear matter are elucidated by subtracting the matrix elements of tensor forces from the realistic nucleon-nucleon…

Nuclear Theory · Physics 2024-06-04 Sibo Wang , Hui Tong , Chencan Wang , Qiang Zhao , Peter Ring , Jie Meng

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

The spin-dependent nature of the nuclear tensor force is studied in details within the relativistic Hartree-Fock approach. The relativistic formalism for the tensor force is supplemented with an additional Lorentz-invariant tensor formalism…

Nuclear Theory · Physics 2017-12-19 Yao Yao Zong , Bao Yuan Sun

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two and three body forces. A complete Skyrme…

Nuclear Theory · Physics 2009-11-11 L. G. Cao , U. Lombardo , C. W. Shen , Nguyen Van Giai