Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies

Abstract

By considering three different Nucleon-Nucleon (NN) elastic differential cross sections: the Cugnon \emph{et al.} parameterized differential cross section [Nucl. Instrum. Methods Phys. Res., Sect. \textbf{B111}, 215 (1996)], and the differential cross section derived from the collision term of the self-consistent relativistic Boltzmann-Uehling-Uhlenbeck equation proposed by Mao \emph{et al.} [Z.\ Phys.\ A {\bf 347}, 173 (1994)], as well as the isotropic differential cross section, within the newly updated version of the ultrarelativistic quantum molecular dynamics (UrQMD) model, the influence of the differential elastic NN cross section on various observables (e.g., nuclear stopping, both the rapidity and transverse-velocity dependence of the directed and elliptic flows) in Au+Au collisions at beam energies 150, 250, 400, and 800 MeV$/$nucleon is investigated. By comparing calculations with those three differential cross sections, it is found that the nuclear stopping power, the directed and elliptic flows are affected to some extent by the differential cross sections, and the impact of differential cross section on those observables becomes more visible as the beam energy increases. The effect on the elliptic flow difference $v_2^n$-$v_2^H$ and ratio $v_2^n$/$v_2^H$ of neutrons versus hydrogen isotopes ($Z=1$), which have been used as sensitive observables for probing nuclear symmetry energy at high densities, is weak.

arXiv comment18 pages, 6 figures, accepted by Physical Review C

References in corpus (37)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• Constraints on the symmetry energy and neutron skins from experiments and theory
• Reaction Dynamics with Exotic Beams
• Skyrme Interaction and Nuclear Matter Constraints
• Constraining the Symmetry Parameters of the Nuclear Interaction
• Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective
• Circumstantial evidence for a soft nuclear symmetry energy at supra-saturation densities
• Symmetry Energy II: Isobaric Analog States
• Microscopic Calculation of in-Medium Nucleon-Nucleon Cross Ssections
• Symmetry energy from elliptic flow in 197Au + 197Au
• Microscopic Calculation of in-Medium Proton-Proton Cross Sections
• Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness
• Systematics of central heavy ion collisions in the 1A GeV regime
• Probing high-density behavior of symmetry energy from pion emission in heavy-ion collisions
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Understanding transport simulations of heavy-ion collisions at 100 and 400 AMeV: Comparison of heavy ion transport codes under controlled conditions
• Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
• Azimuthal correlations of pions in relativistic heavy ion collisions at 1 GeV/nucl.
• Probing the Nuclear Symmetry Energy with Heavy Ion Collisions
• Towards a model-independent constraint of the high-density dependence of the symmetry energy
• Electric Dipole Polarizability in ${}^{208}$Pb as a Probe of the Symmetry Energy and Neutron Matter around ${\rho }_0/3$
• Off shell behaviour of the in medium nucleon-nucleon cross section
• The Influence of in-medium NN cross-sections, symmetry potential and impact parameter on the isospin observables
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• Collective flows of light particles in the Au+Au collision at intermediate energies
• Transport parameters in neutron stars from in-medium NN cross sections
• Nucleon Flow and Fragment Flow in Heavy Ion Reactions
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Properties of nuclear matter from macroscopic-microscopic mass formulas
• ${}^3$H/${}^3$He ratio as a probe of the nuclear symmetry energy at sub-saturation densities
• Relativistic transport theory of N, Δand N^{*}(1440) interacting through $\sigma$, $\omega$ and $\pi$ mesons
• Symmetry energy at subsaturation densities and the neutron skin thickness of 208Pb
• Screening effects on the elastic nucleon-nucleon cross section in relativistic nuclear matter

Cited by in corpus (10)

• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Effects of in-medium nucleon-nucleon cross section on collective flow and nuclear stopping in heavy-ion collisions in the Fermi-energy domain
• Collective flows of pions in Au+Au collisions at energies 1.0 and 1.5 GeV/nucleon
• The effect of internal magnetic field on collective flow in heavy ion collisions at intermediate energies
• Effect of energy conservation on in-medium $\mbox{NN}\to \mbox{N}Δ$ cross section in isospin-asymmetric nuclear matter
• The cumulants of the baryon number from central Au+Au collision at $E_{lab}$= 1.23 GeV$/$nucleon reveal the nuclear mean-field potentials
• In-medium $\mbox{NN}\to \mbox{N}Δ$ cross section and its dependence on effective Lagrange parameters in isospin-asymmetric nuclear matter
• The influence of $\delta$ meson on the isospin splitting of in-medium $NN\to N\Delta$ cross sections
• A novel filtering method for generating desired density profiles of colliding nuclei
• Mean-field potential effects in the cumulants of baryons from central Au+Au collision at $E_{lab}$= 1.23 GeV$/$nucleon