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Nuclear reactions induced by stable and/or radioactive neutron-rich nuclei provide the opportunity to pin down the equation of state of neutron-rich matter, especially the density ($\rho$) dependence of its isospin-dependent part, i.e., the…

Nuclear Theory · Physics 2017-08-23 Bao-An Li , Lie-Wen Chen , Che Ming Ko , Andrew W. Steiner

Extrapolation of perturbative nucleon spin fluctuation rates seems to suggest a strong suppression of weak interactions in supernova cores. We derive a new sum rule for the dynamical spin-density structure function which relates the spin…

Astrophysics · Physics 2008-11-26 Guenter Sigl

The effects of a zero-range tensor component of the effective interaction on nuclear response functions are determined in the so-called RPA approach. Explicit formula in the case of symmetric homogeneous isotropic nuclear matter are given…

Nuclear Theory · Physics 2009-09-02 D. Davesne , M. Martini , K. Bennaceur , J. Meyer

The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, the density dependence of the effective…

Nuclear Theory · Physics 2025-01-06 Mingya Duan , Michael Urban

This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear…

Nuclear Theory · Physics 2014-06-26 M. Dutra , O. Lourenço , J. S. Sá Martins , A. Delfino , J. R. Stone , P. D. Stevenson

The non-relativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state (EOS). In addition to a minimal set of…

Nuclear Theory · Physics 2024-09-12 Mikhail V. Beznogov , Adriana R. Raduta

Spin polarization of neutron matter at finite temperatures and strong magnetic fields up to $10^{18}$ G is studied in the model with the Skyrme effective interaction. It is shown that, together with the thermodynamically stable branch of…

Nuclear Theory · Physics 2010-10-15 A. A. Isayev , J. Yang

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

Spin polarized states in neutron matter at strong magnetic fields up to $10^{18}$ G are considered in the model with the Skyrme effective interaction. Analyzing the self-consistent equations at zero temperature, it is shown that a…

Nuclear Theory · Physics 2011-04-07 A. A. Isayev , J. Yang

Symmetry energy coefficients of asymmetric nuclear matter are investigated as the inverse of nuclear matter polarizabilities with two different approaches. Firstly a general calculation shows they may depend on the neutron-proton asymmetry…

Nuclear Theory · Physics 2015-06-26 Fábio L. Braghin

A generalized parameterization of the Skyrme effective force is discussed. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter. In particular, it is shown that an enlarged density dependence based on two…

Nuclear Theory · Physics 2009-11-10 B. Cochet , K. Bennaceur , J. Meyer , P. Bonche , T. Duguet

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

By assuming that the isospin- and momentum-dependent MDI interaction has a form similar to the Gogny-like effective two-body interaction with a Yukawa finite-range term and the momentum dependence only originates from the finite-range…

Nuclear Theory · Physics 2010-10-19 Jun Xu , Che Ming Ko

We present the explicit form of the next-to-next-to-leading order (N$^2$LO) Skyrme interaction in momentum space by including the fourth-order gradient potentials to the standard Skyrme interaction. With the N$^2$LO Skyrme interaction, we…

Nuclear Theory · Physics 2016-07-21 Kassem Moghrabi

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 show in the Skyrme-Hartree-Fock approach that unambiguous correlations exist between observables of finite nuclei and nuclear matter properties. Using this correlation analysis to existing data on the neutron skin thickness of Sn…

Nuclear Theory · Physics 2017-08-23 Lie-Wen Chen , Che Ming Ko , Jun Xu , Bao-An Li

The contribution of Lambda hyperons to neutrino scattering rates is calculated in the random phase approximation in a model where the interaction is described by a Skyrme potential. Finite temperature and neutrino trapping are taken into…

Nuclear Theory · Physics 2008-11-26 L. Mornas

Spinodal instabilities and early growth of baryon density fluctuations in symmetric nuclear matter are investigated in the basis of stochastic extension of relativistic mean-field approach in the semi-classical approximation. Calculations…

Nuclear Theory · Physics 2015-05-13 S. Ayik , O. Yilmaz , N. Er , A. Gokalp , P. Ring

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

The nucleon spin-orbit interaction is a cornerstone of nuclear structure theory, yet its isospin dependence remains elusive owing to the lack of clean experimental probes. Here we show that the charge-weak form factor difference in…

Nuclear Theory · Physics 2026-02-20 Tong-Gang Yue , Zhen Zhang , Lie-Wen Chen