Predicting the single-proton and single-neutron potentials in asymmetric nuclear matter

Sammarruca, Francesca; Barredo, W.; Krastev, Plamen G.

doi:10.1103/physrevc.71.064306

Cited by 59 publications

(106 citation statements)

References 31 publications

(35 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, so far, no experimental data from finite nuclei has allowed a determination of the effective mass splitting but ab-initio Brueckner-Hartree-Fock calculation [24,26] have predicted m * n > m * p in neutron-rich matter. This result has been confirmed by relativistic calculations within the Dirac-BHF scheme [27] or within the DDRHF scheme [28]. Thus the sign of the splitting is rather solidly predicted although its amplitude is subject to a much greater uncertainty.…”

Section: B Asymmetric Mattersupporting

confidence: 67%

Relativistic chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement

Massot

Chanfray

2008

Phys. Rev. C

View full text Add to dashboard Cite

We present a relativistic chiral effective theory for symmetric and asymmetric nuclear matter taken in the Hartree-Fock scheme. The nuclear binding is insured by a background chiral invariant scalar field associated with the radial fluctuations of the chiral quark condensate. Nuclear matter saturation is obtained once the scalar response of the nucleon generating three-body repulsive forces is incorporated. For these parameters related to the scalar sector and quark confinement mechanism inside the nucleon we make use of an analysis of lattice results on the nucleon mass evolution with the quark mass. The other parameters are constrained as most as possible by standard hadron and nuclear phenomenology. Special attention is paid to the treatment of the propagation of the scalar fluctuations. The rearrangement terms associated with in-medium modified mass and coupling constants are explicitly included to satisfy the Hugenholtz -Van Hove theorem. We point out the important role of the tensor piece of the rho exchange Fock term to reproduce the asymmetry energy of nuclear matter. We also discuss the isospin dependence of the Landau nucleon effective mass.

show abstract

Section: B Asymmetric Mattersupporting

confidence: 67%

Relativistic chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement

Massot

Chanfray

2008

Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…The exact K sat (δ) is obtained from Eqs. (21), (32), and (43), and corresponding results from Eq. (34) including terms up to δ 2 and up to δ 4 are also included for comparison.…”

Section: Binding Energy At Saturation Densitymentioning

confidence: 99%

“…Although the nuclear symmetry energy at ρ 0 is known to be around 30 MeV from the empirical liquid-drop mass formula [27,28], its values at other densities, especially at supra-saturation densities, are poorly known [6,7]. Various microscopic and phenomenological models, such as the relativistic Dirac-Brueckner-HartreeFock (DBHF) [29][30][31][32][33][34][35] and the nonrelativistic BruecknerHartree-Fock (BHF) [36][37][38][39] approach, the relativistic mean-field (RMF) model based on nucleon-meson interactions [12,[40][41][42], and the nonrelativistic mean-field model based on Skyrme-like interactions [43][44][45][46][47][48][49][50][51], have been used to study the isospin-dependent properties of asymmetric nuclear matter, such as the nuclear symmetry energy, the nuclear symmetry potential, and the isospin-splitting of the nucleon effective masses, but the predicted results vary widely. In fact, even the sign of the symmetry energy above 3ρ 0 is still uncertain [52,53].…”

Section: Introductionmentioning

confidence: 99%

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

et al. 2009

View full text Add to dashboard Cite

Analytical expressions for the saturation density of asymmetric nuclear matter as well as its binding energy and incompressibility at saturation density are given up to fourth order in the isospin asymmetry δ = (ρ n − ρ p )/ρ using 11 characteristic parameters defined by the density derivatives of the binding energy per nucleon of symmetric nuclear matter, the symmetry energy E sym (ρ), and the fourth-order symmetry energy E sym,4 (ρ) at normal nuclear density ρ 0 . Using an isospin-and momentum-dependent modified Gogny interaction (MDI) and the Skyrme-Hartree-Fock (SHF) approach with 63 popular Skyrme interactions, we have systematically studied the isospin dependence of the saturation properties of asymmetric nuclear matter, particularly the incompressibilityat saturation density. Our results show that the magnitude of the higher order K sat,4 parameter is generally small compared to that of the K sat,2 parameter. The latter essentially characterizes the isospin dependence of the incompressibility at saturation density and can be expressed asL, where L and K sym represent, respectively, the slope and curvature parameters of the symmetry energy at ρ 0 and J 0 is the third-order derivative parameter of symmetric nuclear matter at ρ 0 . Furthermore, we have constructed a phenomenological modified Skyrme-like (MSL) model that can reasonably describe the general properties of symmetric nuclear matter and the symmetry energy predicted by both the MDI model and the SHF approach. The results indicate that the higher order J 0 contribution to K sat,2 generally cannot be neglected. In addition, it is found that there exists a nicely linear correlation between K sym and L as well as between J 0 /K 0 and K 0 . These correlations together with the empirical constraints on K 0 , L, E sym (ρ 0 ), and the nucleon effective mass lead to an estimate of K sat,2 = −370 ± 120 MeV.

show abstract

“…Although the nuclear symmetry energy at normal nuclear matter density ρ 0 ≈ 0.16 fm −3 is known to be around 30 MeV from the empirical liquid-drop mass formula [14,15], its values at other densities are poorly known [6,7]. Various microscopic and phenomenological models, such as the relativistic Dirac-Brueckner-HartreeFock (DBHF) [16,17,18,19,20,21,22] and the nonrelativistic Brueckner-Hartree-Fock (BHF) [23,24] approach, the relativistic mean-field (RMF) model based on nucleon-meson interactions [12], and the non-relativistic mean-field model based on Skyrme-like interactions [25,26,27,28,29,30,31], have been used to study the isospin-dependent properties of asymmetric nuclear matter, such as the nuclear symmetry energy, the nuclear symmetry potential, the isospin-splitting of nucleon effective mass, etc., but the predicted results vary widely. In fact, even the sign of the symmetry energy above 3ρ 0 is uncertain [32].…”

Section: Introductionmentioning

confidence: 99%

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

2007

View full text Add to dashboard Cite

Using various relativistic mean-field models, including the nonlinear ones with meson field selfinteractions, those with density-dependent meson-nucleon couplings, and the point-coupling models without meson fields, we have studied the isospin-dependent bulk and single-particle properties of asymmetric nuclear matter. In particular, we have determined the density dependence of nuclear symmetry energy from these different relativistic mean-field models and compare the results with the constraints recently extracted from analyses of experimental data on isospin diffusion and isotopic scaling in intermediate-energy heavy ion collisions as well as from measured isotopic dependence of the giant monopole resonances in even-A Sn isotopes. Among the 23 parameter sets in the relativistic mean-filed model that are commonly used for nuclear structure studies, only a few are found to give symmetry energies that are consistent with the empirical constraints. We have also studied the nuclear symmetry potential and the isospin-splitting of the nucleon effective mass in isospin asymmetric nuclear matter. We find that both the momentum dependence of the nuclear symmetry potential at fixed baryon density and the isospin-splitting of the nucleon effective mass in neutron-rich nuclear matter depend not only on the nuclear interactions but also on the definition of the nucleon optical potential.

show abstract

Predicting the single-proton and single-neutron potentials in asymmetric nuclear matter

Cited by 59 publications

References 31 publications

Relativistic chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement

Relativistic chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement

Higher-order effects on the incompressibility of isospin asymmetric nuclear matter

Isospin-dependent properties of asymmetric nuclear matter in relativistic mean field models

Contact Info

Product

Resources

About