Mean free paths and in-medium scattering cross sections of energetic nucleons in neutron-rich nucleonic matter within the relativistic impulse approximation

Abstract

The mean free paths and in-medium scattering cross sections of energetic nucleons in neutron-rich nucleonic matter are investigated using the nucleon optical potential obtained within the relativistic impulse approximation with the empirical nucleon-nucleon scattering amplitudes and the nuclear densities obtained in the relativistic mean field model. It is found that the isospin-splitting of nucleon mean free paths, sensitive to the imaginary part of the symmetry potential, changes its sign at certain high kinetic energy. The in-medium nucleon-nucleon cross sections are analytically and numerically demonstrated to be essentially independent of the isospin asymmetry of the medium and increase linearly with density in the high energy region where the relativistic impulse approximation is applicable.

arXiv comment13 pages, 6 figures

References in corpus (25)

• Recent Progress in Quantum Hadrodynamics
• Neutron-Rich Nuclei in Heaven and Earth
• Isospin Physics in Heavy-Ion Collisions at Intermediate Energies
• Determination of the stiffness of the nuclear symmetry energy from isospin diffusion
• Nucleon-nucleon cross sections in neutron-rich matter and isospin transport in heavy-ion reactions at intermediate energies
• Microscopic Calculation of in-Medium Nucleon-Nucleon Cross Ssections
• Effects of momentum-dependent symmetry potential on heavy-ion collisions induced by neutron-rich nuclei
• Microscopic Calculation of in-Medium Proton-Proton Cross Sections
• Nuclear Flow Excitation Function
• Modelization of the EOS
• Off shell behaviour of the in medium nucleon-nucleon cross section
• In-medium NN cross sections determined from stopping and collective flow in intermediate-energy heavy-ion collisions
• Critical Enhancement of the In-medium Nucleon-Nucleon Cross Section at low Temperatures
• Isospin Dependence of Nucleon-Nucleon Elastic Cross Section
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Nuclear stopping and flow in heavy ion collisions and the in-medium NN cross section
• More on nucleon-nucleon cross sections in symmetric and asymmetric matter
• Probing the isospin dependence of the in-medium nucleon-nucleon cross sections with radioactive beams
• High-energy behavior of the nuclear symmetry potential in asymmetric nuclear matter
• Charge-Dependence of the Nucleon-Nucleon Interaction
• Charge-Asymmetry of the Nucleon-Nucleon Interaction
• Equation of state of isospin-asymmetric nuclear matter in relativistic mean-field models with chiral limits
• Nuclear symmetry potential in the relativistic impulse approximation
• Reconstruction of the optical potential from scattering data
• Self-Consistent Relativistic Calculation of Nucleon Mean Free Path

Cited by in corpus (7)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Nucleon Effective Masses in Neutron-Rich Matter
• Mean free path and shear viscosity in central ${}^{129}$Xe+${}^{119}$Sn collisions below 100 MeV/nucleon
• The mean free path of protons and neutrons in isospin-asymmetric nuclear matter
• Isospin dependence of nucleon effective masses in neutron-rich matter
• Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation
• An explanation of the elliptic flow difference between proton and anti-proton from the UrQMD model with hadron potentials