Isospin splitting of the nucleon mean field

Abstract

The isospin splitting of the nucleon mean field is derived from the Brueckner theory extended to asymmetric nuclear matter. The Argonne V18 has been adopted as bare interaction in combination with a microscopic three body force. The isospin splitting of the effective mass is determined from the Brueckner-Hartree-Fock self-energy: It is linear acording to the Lane ansatz and such that $m_n^{\ast }>m_p^{\ast }$ for neutron-rich matter. The symmetry potential is also determined and a comparison is made with the predictions of the Dirac-Brueckner approach and the phenomenological interactions. The theoretical predictions are also compared with the empirical parametrizations of neutron and proton optical-model potentials based on the experimental nucleon-nucleus scattering and the phenomenological ones adopted in transport-model simulations of heavy-ion collisions. The direct contribution of the rearrangement term due to three-body forces to the single particle potential and symmetry potential is discussed.

8 pages, 10 figures

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• Probing the High Density Behaviour of Nuclear Symmetry Energy with High Energy Heavy-Ion Collisions
• Momentum dependence of symmetry potential in asymmetric nuclear matter for transport model calculations
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• Near-threshold pion production with radioactive beams at the Rare Isotope Accelerator
• Microscopic calculations in asymmetric nuclear matter
• Constraining the neutron-proton effective mass splitting in neutron-rich matter
• Transport properties of isospin effective mass splitting
• Nucleon self-energy in the relativistic Brueckner approach
• Landau parameters of nuclear matter in the spin and spin-isospin channels
• Predicting the single-proton/neutron potentials in asymmetric nuclear matter
• Isospin dependence of nucleon emission and radial flow in heavy-ion collisions induced by high energy radioactive beams
• Neutrino Mean Free Path in Neutron Stars

Cited by in corpus (75)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
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• Nucleon-nucleon cross sections in neutron-rich matter and isospin transport in heavy-ion reactions at intermediate energies
• Density-Dependent Relativistic Hartree-Fock Approach
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Nucleon Effective Masses in Neutron-Rich Matter
• Modification of mass formula by considering isospin effects
• From Brueckner Approach to Skyrme-type Energy Density Functional
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Modelization of the EOS
• Momentum, Density, and Isospin dependence of the Symmetric and Asymmetric Nuclear Matter Properties
• Towards a model-independent constraint of the high-density dependence of the symmetry energy
• Double neutron/proton ratio of nucleon emissions in isotopic reaction systems as a robust probe of nuclear symmetry energy
• Fast nucleon emission as a probe of the isospin momentum dependence
• Neutron-proton effective mass splitting in neutron-rich matter at normal density from analyzing nucleon-nucleus scattering data within an isospin dependent optical model
• Interdependence of different symmetry energy elements
• Why is the nuclear symmetry energy so uncertain at supra-saturation densities?
• Medium modifications of the nucleon-nucleon elastic cross section in neutron-rich intermediate energy HICs
• Single and double pi^{-}/pi^{+} ratios in heavy-ion reactions as probes of the high-density behavior of the nuclear symmetry energy
• Folding model study of the isobaric analog excitation: isovector density dependence, Lane potential and nuclear symmetry energy
• Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter
• Transport parameters in neutron stars from in-medium NN cross sections
• Isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Effective mass splitting of neutron and proton and isospin emission in heavy-ion collisions
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Three-body force effect on nucleon momentum distributions in asymmetric nuclear matter within the framework of the extended BHF approach
• Microscopic optical potential for exotic isotopes from chiral effective field theory
• Properties of asymmetric nuclear matter in different approaches
• Covariance Analysis of Symmetry Energy Observables from Heavy Ion Collision
• Nucleon self-energies for supernova equations of state
• Nucleon effective mass in hot dense matter
• Relativistic Effects in Nuclear Matter and Nuclei
• High-energy behavior of the nuclear symmetry potential in asymmetric nuclear matter
• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Neutron-proton effective mass splitting and thermal evolution in neutron rich matter
• An improved single particle potential for transport model simulations of nuclear reactions induced by rare isotope beams
• Temperature and momentum dependence of single-particle properties in hot asymmetric nuclear matter
• Effect of isovector scalar meson on equation of state of dense matter within relativistic mean field model
• Momentum dependent mean-field dynamics of compressed nuclear matter and neutron stars
• Nuclear symmetry potential in the relativistic impulse approximation
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Exact versus Taylor-expanded energy density in the study of the neutron star crust-core transition
• Folding model study of the charge-exchange scattering to the isobaric analog state and implication for the nuclear symmetry energy
• Neutron-proton mass difference in finite nuclei and the Nolen-Schiffer anomaly
• Proton radioactivity with a Yukawa effective interaction
• Nonrelativistic nucleon effective masses in nuclear matter: BHF versus RHF
• Isospin-asymmetric nuclear matter
• Neutron-proton mass difference in isospin asymmetric nuclear matter
• A phenomenological equation of state for isospin asymmetric nuclear matter
• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction
• Neutron-proton effective mass splitting in neutron-rich matter
• Imprints of Nuclear Symmetry Energy on Properties of Neutron Stars
• Effect of nucleon effective mass and symmetry energy on the neutrino mean free path in a neutron star
• Isospin Dynamics in Heavy Ion Collisions: EoS-sensitive Observables
• Three-body force effect on off-shell mass operator and spectral functions in nuclear matter
• Probing Nuclear Symmetry Energy and its Imprints on Properties of Nuclei, Nuclear Reactions, Neutron Stars and Gravitational Waves
• The nucleon effective mass and its isovector splitting
• Correlations among symmetry energy elements in Skyrme models
• Relationship between the symmetry energy and the single-nucleon potential in isospin-asymmetric nucleonic matter
• Bayesian inference on the isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Energy Dependent Isospin Asymmetry in Mean-Field Dynamics
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• Can the nuclear symmetry potential at supra-saturation densities be negative?
• Isospin Dependence of 1S0 Proton and Neutron Superfluidity in Asymmetric Nuclear Matter
• The splitting of the one-body potential in spin-polarized isospin-symmetric nuclear matter
• Effects of density-dependent scenarios of in-medium nucleon-nucleon interactions in heavy-ion collisions
• Neutron-Proton Mass Difference in Nuclear Matter and in Finite Nuclei and the Nolen-Schiffer Anomaly
• An effective Nuclear Model: from Nuclear Matter to Finite Nuclei
• Three-body Force Effects on the Properties of Neutron-rich Nuclear Matter
• Decomposition of EOS of Asymmetric Nuclear Matter into Different Spin-isospin Channels
• Origins and Impacts of High-Density Symmetry Energy
• Single particle potentials of asymmetric nuclear matter in different spin-isospin channels
• Bayesian Analyses of Proton Multiple Flow Components in Intermediate Heavy Ion Collisions with Momentum-Dependent Interactions