The Skyrme Interaction in finite nuclei and nuclear matter

Abstract

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent nucleon-nucleon interactions. The free parameters of the functional are adjusted to empirical data. A proper choice of these parameters requires a comprehensive set of constraints covering experimental data on finite nuclei, concerning static as well as dynamical properties, empirical characteristics of nuclear matter, and observational information on nucleosynthesis, neutron stars and supernovae. This work aims at a comprehensive survey of the performance of one of the most successful non-relativistic self-consistent method, the Skyrme-Hartree-Fock model (SHF), with respect to these constraints. A full description of the Skyrme functional is given and its relation to other effective interactions is discussed. The validity of the application of SHF far from stability and in dense environments beyond the nuclear saturation density is critically assessed. The use of SHF in models extended beyond the mean field approximation by including some correlations is discussed. Finally, future prospects for further development of SHF towards a more consistent application of the existing and promisingly newly developing constraints are outlined.

71 pages, 22 figures. Accepted for publication in Prog.Part.Nucl.Phys

References in corpus (5)

• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Transport properties of dense fluid argon

Cited by in corpus (108)

• Nuclear magic numbers: new features far from stability
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• A new Skyrme interaction with improved spin-isospin properties
• A New Open-Source Nuclear Equation of State Framework based on the Liquid-Drop Model with Skyrme Interaction
• Theory of Nuclear Fission
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• Effective contact pairing forces from realistic calculations in infinite homogeneous nuclear matter
• Self-interaction errors in nuclear energy density functionals
• Laser spectroscopy of neutron-rich ${}^{207,208}$Hg isotopes: Illuminating the kink and odd-even staggering in charge radii across the $N=126$ shell closure
• Microscopic study of induced fission dynamics of ${}^{226}$Th with covariant energy density functionals
• Low-energy collective excitations in the neutron star inner crust
• Density Functional Theory studies of cluster states in nuclei
• Holographic modeling of nuclear matter and neutron stars
• Appearance of the Single Gyroid Network Phase in Nuclear Pasta Matter
• Skyrme-Rpa Description of Dipole Giant Resonance in Heavy and Superheavy Nuclei
• Two-fluid models of superfluid neutron star cores
• Mean field approaches for ${\Xi }^{-}$ hypernuclei and current experimental data
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Cluster formation in compact stars: relativistic versus Skyrme models
• Imposing multi-physics constraints at different densities on the Neutron Star Equation of State
• Skyrme-Rpa Description of Spin-Flip M1 Giant Resonance
• Peeling off neutron skins from neutron-rich nuclei: Constraints on the symmetry energy from neutron-removal cross sections
• Nucleosynthesis and observation of the heaviest elements
• Multi-physics constraints at different densities to probe nuclear symmetry energy in hyperonic neutron stars
• Role of vector self-interaction in Neutron Star properties
• Superdeformed and Hyperdeformed States in Z=122 Isotopes
• Implications of Feebly Interacting Dark Sector on Neutron Star Properties and Constraints from GW170817
• TDDFT with Skyrme Forces: Effect of Time-Odd Densities on Electric Giant Resonances
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• High-spin torus isomers and their precession motions
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Properties of asymmetric nuclear matter in different approaches
• Translating neutron star observations to nuclear symmetry energy via artificial neural networks
• Low-energy nuclear physics and global neutron star properties
• Error estimates for the Skyrme-Hartree-Fock model
• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Dark matter component in hadronic models with short-range correlations
• Origin of symmetry energy in finite nuclei and density dependence of nuclear matter symmetry energy from measured alpha-decay energies
• Feeble DM-SM Interaction via New Scalar and Vector Mediators in Rotating Neutron Stars
• Exploration of a modified density dependence in the Skyrme functional
• Warm dense matter and cooling of supernovae remnants
• Effects of $\varphi$-meson on properties of hyperon stars in density dependent relativistic mean field model
• Constraining Nuclear Symmetry Energy with Multi-messenger Resonant Shattering Flares
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
• Dense Matter in Neutron Stars with eXTP
• Hyperon star in a modified quark meson coupling model
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• Nuclear energy density functionals grounded in ab initio calculations
• Neutron skins as laboratory constraints on properties of neutron stars and on what we can learn from heavy ion fragmentation reactions
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Nuclear symmetry energy effects on neutron stars properties
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Central Speed of Sound, Trace Anomaly and Observables of Neutron Stars from Perturbative Analyses of Scaled TOV Equations
• The Role of Baryon Structure in Neutron Stars
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method
• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction
• Spin-orbit interaction in relativistic nuclear structure models
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Nonparametric model for the equations of state of neutron star from deep neural network
• Core States of Neutron Stars from Anatomizing their Scaled Structure Equations
• Nuclear matter at finite temperature and static properties of proto-neutron star
• Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter
• Skyrme-Random-Phase-Approximation description of E1 strength in 92-100Mo
• A stabilized pairing functional
• Isoscalar giant monopole resonance in ${}^{24}$Mg and ${}^{28}$Si: Effect of coupling between the isoscalar monopole and quadrupole strength
• Isotopic shift and search of magic number in the superheavy region
• Properties of Hybrid Stars with Density Dependent Bag Model
• Microscopic analysis of low-energy spin and orbital magnetic dipole excitations in deformed nuclei
• Variation of delta baryon mass and hybrid star properties in static and rotating conditions
• Skyrme-Hartree-Fock Description of the Dipole Strength in Neutron-Rich Tin Isotopes
• Giant dipole resonance in Sm isotopes within TDHF method
• Optimized nuclear energy density functionals including long-range pion contributions
• Impact of ground-state properties and collective excitations on the Skyrme ansatz: a Bayesian study
• Accreting neutron stars from the nuclear energy-density functional theory. II. Equation of state and global properties
• $f$-mode oscillations of dark matter admixed quarkyonic neutron star
• Phase transitions of dense neutron matter with generalized Skyrme interaction to superfluid states with triplet pairing in strong magnetic field
• Strong Gravity Extruding Peaks in Speed of Sound Profiles of Massive Neutron Stars
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• Triaxiality induced monopole-quadrupole-hexadecupole coupling in the isoscalar giant resonances for ${}^{86}\text{Ge}$
• Density Matrix Functional Theory for the Lipkin model
• Configuration interaction relativistic Hartree-Fock model
• The nuclear symmetry energy and the neutron skin thickness in nuclei
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• Dark Matter Influence on Quarkyonic Stars: A Relativistic Mean Field Analysis
• Dark energy effects on realistic neutron stars
• Role of $\Delta$s in determining the properties of Neutron Stars in parameterized hydrostatic equilibrium
• Finite-temperature infinite matter with effective-field-theory-inspired energy-density functionals
• Construction of energy density functional for arbitrary spin polarization using functional renormalization group
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Microscopic-Macroscopic Approach for Ground-State Energies Based on the Gogny Force with the Wigner-Kirkwood Averaging Scheme
• Structural and decay properties of nuclei appearing in the $\alpha$-decay chains of ${}^{296,298,300,302,304}$120 within the relativistic mean-field formalism
• Potential energy surface and formation of superheavy nuclei with the Skyrme energy-density functional
• Estimation of transport coefficients of dense hadronic and quark matter
• Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter
• Low-energy M1 states in deformed nuclei: spin-scissors or spin-flip?
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Neutron stars within relativistic central variational method
• Microscopic analysis of dipole electric and magnetic strengths in ${}^{156}$Gd
• Microscopic Theory of Nuclear Fission
• Multicomponent Fermi systems at low densities
• Symmetry breaking and restoration on a fermionic quantum ring