Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints

Abstract

Relativistic mean-field (RMF) models have been widely used in the study of many hadronic frameworks because of several important aspects not always present in nonrelativistic models, such as intrinsic Lorentz covariance, automatic inclusion of spin, appropriate saturation mechanism for nuclear matter, causality and, therefore, no problems related to superluminal speed of sound. With the aim of identifying the models which best satisfy well known properties of nuclear matter, we have analyzed $263$ parameterizations of seven different types of RMF models under three different sets of constraints related to symmetric nuclear matter, pure neutron matter, symmetry energy, and its derivatives. One of these (SET1) is formed of the same constraints used in a recent work [M. Dutra et al., Phys. Rev. C 85, 035201 (2012)] in which we analyzed $240$ Skyrme parameterizations. The results pointed to $2$ models consistent with all constraints. By using another set of constraints, namely, SET2a, formed by the updated versions of the previous one, we found $4$ models approved simultaneously. Finally, in the third set, named SET2b, in which the values of the constraints are more restrictive, we found $3$ consistent models. Another interesting feature of our analysis is that the results change dramatically if we do not consider the constraint regarding the volume part of the isospin incompressibility ($K_{\tau ,\mathrm{v}}$). In this case, we have $35$ approved models in SET2a and $30$ in SET2b.

63 pages, 3 figures and 9 tables. Version accepted for publication in PRC

References in corpus (33)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Neutron-Rich Nuclei in Heaven and Earth
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Core-crust transition in neutron stars: predictivity of density developments
• Strongly paired fermions: Cold atoms and neutron matter
• Incompressibility in finite nuclei and nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Relativistic model for nuclear matter and atomic nuclei with momentum-dependent self-energies
• Incompressibility of neutron-rich matter
• Cold uniform matter and neutron stars in the quark-mesons-coupling model
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• The long journey from the giant-monopole resonance to the nuclear-matter incompressibility
• Nuclear matter in the crust of neutron stars derived from realistic NN interactions
• Validating relativistic models of nuclear structure against theoretical, experimental, and observational constraints
• Effects of $\omega$ meson self-coupling on the properties of finite nuclei and neutron stars
• Low Densities Instability of Relativistic Mean Field Models
• Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• Low density expansion and isospin dependence of nuclear energy functional: comparison between relativistic and Skyrme models
• Scalar-vector Lagrangian without nonlinear self-interactions of bosonic fields in the relativistic mean-field theory
• Sigma-omega meson coupling and properties of nuclei and nuclear matter

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