The many facets of the (non relativistic) Nuclear Equation of State

Abstract

A nucleus is a quantum many body system made of strongly interacting Fermions, protons and neutrons (nucleons). This produces a rich Nuclear Equation of State whose knowledge is crucial to our understanding of the composition and evolution of celestial objects. The nuclear equation of state displays many different features; first neutrons and protons might be treated as identical particles or nucleons, but when the differences between protons and neutrons are spelled out, we can have completely different scenarios, just by changing slightly their interactions. At zero temperature and for neutron rich matter, a quantum liquid gas phase transition at low densities or a quark-gluon plasma at high densities might occur. Furthermore, the large binding energy of the $\alpha$ particle, a Boson, might also open the possibility of studying a system made of a mixture of Bosons and Fermions, which adds to the open problems of the nuclear equation of state.

71 pages, 30 figures, accepted by Prog. Part. Nucl. Phys. and in press

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Cited by in corpus (39)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Liquid-Gas phase transition in nuclei
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Determination of the nuclear incompressibility from the rapidity-dependent elliptic flow in heavy-ion collisions at beam energies 0.4\emph{A} - 1.0\emph{A} GeV
• Connecting the nuclear EoS to the interplay between fusion and quasifission processes in low-energy nuclear reactions
• Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei
• Relativistic Boltzmann transport approach with Bose-Einstein statistics and the onset of gluon condensation
• Microscopic dynamical description of proton-induced fission with the Constrained Molecular Dynamics (CoMD) Model
• Dipole response in neutron-rich nuclei with new Skyrme interactions
• Isospin equilibration in multinucleon transfer reaction at near-barrier energies
• Isoscalar monopole and quadrupole modes in Mo isotopes: microscopic analysis
• Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
• Thermal and transport properties in central heavy-ion reactions around a few hundred MeV/nucleon
• Neutron-rich rare isotope production with stable and radioactive beams in the mass range A=40-60 at beam energy around 15 MeV/nucleon
• Strongly Resonating Bosons in Hot Nuclei
• Effects of the equation of state on the core-crust interface of slowly rotating neutron stars
• Finite-size scaling phenomenon of nuclear liquid--gas phase transition probes
• Correlation between elliptic flow and shear viscosity in intermediate-energy heavy-ion collisions
• Mean free path and shear viscosity in central ${}^{129}$Xe+${}^{119}$Sn collisions below 100 MeV/nucleon
• Sensitivity study of experimental measures for the nuclear liquid-gas phase transition in the statistical multifragmentation model
• Pre-equilibrium effects in charge-asymmetric low-energy reactions
• Thermal effects on tidal deformability in the last orbits of an inspiraling binary neutron star system
• Green-Kubo formula for Boltzmann and Fermi-Dirac statistics
• Cold dilute nuclear matter with $\alpha$-particle condensation in a generalized nonlinear relativistic mean-field model
• Competition between fermions and bosons in nuclear matter at low densities and finite temperatures
• Improvement on Fermionic properties and new isotope production in molecular dynamics simulations
• Triple α Resonances in the Decay of Hot Nuclear Systems *
• Coexistence of phases in asymmetric nuclear matter under strong magnetic fields
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Novel technique to extract experimental symmetry free energy information of nuclear matter
• Temperature and density effects on the two-nucleon momentum correlation function from excited single nuclei
• Bayesian inference of nuclear incompressibility from collective flow in mid-central Au+Au collisions at 400--1500 MeV/nucleon
• Investigation of the nuclear liquid-gas phase transition in the static AMD
• Neutron stars as a dense liquid drop at equilibrium within the effective surface approximation
• Density and Temperature in Heavy Ion Collisions: A Test of Classical and Quantum Approaches
• Neutron stars and supernova explosions in the framework of Landau's theory
• The role of the Heisenberg principle in Constrained Molecular Dynamics model
• Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation
• Nuclear reaction measurements of 80.5 MeV/u 12C beam bombarding on C, W, Cu, Au, Pb targets