Symmetry energy and nucleon-nucleon cross sections

Abstract

The extension of the Boltzmann-Uehling-Uhlenbeck model of nucleus-nucleus collision is presented. The isospin-dependent nucleon-nucleon cross sections are estimated using the proper volume extracted from the equation of state of the nuclear matter transformed into the form of the Van der Waals equation of state. The results of such simulations demonstrate the dependence on symmetry energy which typically varies strongly from the results obtained using only the isospin-dependent mean-field. The evolution of the n/p multiplicity ratio with angle and kinetic energy, in combination with the elliptic flow of neutrons and protons, provides a suitable set of observables for determination of the density dependence of the symmetry energy. The model thus provides an environment for testing of equations of state, used for various applications in nuclear physics and astrophysics.

20 pages, 9 figures, to appear in Physical Review C

References in corpus (7)

• Symmetry energy from elliptic flow in 197Au + 197Au
• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Sensitivity of the transverse flow towards symmetry energy
• Neutron-proton elliptic flow difference as a probe for the high density dependence of the symmetry energy
• Probing the density dependence of symmetry energy via multifragmentation at sub-saturation densities
• Probing the symmetry energy and the degree of isospin equilibrium
• The symmetry energy in nuclear reactions

Cited by in corpus (6)

• Shear viscosity of hot nuclear matter by the mean free path method
• Thermal and transport properties in central heavy-ion reactions around a few hundred MeV/nucleon
• Finite-size scaling phenomenon of nuclear liquid--gas phase transition probes
• Mean free path and shear viscosity in central ${}^{129}$Xe+${}^{119}$Sn collisions below 100 MeV/nucleon
• Constraining the equation of state of nuclear matter from competition of fusion and quasi-fission in the reactions leading to production of the superheavy elements
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach