Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter

Abstract

We investigate the sensitivity of the $\Lambda$ directed flow to the $\Lambda$ potential in mid-central Au + Au collisions at $\sqrt{s_{NN}}\approx 3.0$--$30$ GeV. The $\Lambda$ potential obtained from the chiral effective field theory ($\chi$EFT) is used in a microscopic transport model, a vector version of relativistic quantum molecular dynamics (RQMDv). We find that the density-dependent $\Lambda$ potentials, obtained from the $\chi$EFT assuming weak momentum dependence of the potential, reproduce the rapidity and the beam-energy dependence of the $\Lambda$ directed flow measured by the STAR collaboration in the Beam Energy Scan program. Although the $\Lambda$ directed flow is insensitive to the density dependence of the potential, it is susceptible to the momentum dependence. We also show that a hydrodynamics picture based on the blast-wave model predicts a similarity of the proton, $\Lambda$, and $\Xi$ directed flows, but the directed flow of $\Omega$ baryons slightly deviates from other baryons. We also show that the quark coalescence predicts different rapidity dependence of the directed flows for hyperons. These investigations suggest that measurements of a wide range of the rapidity dependence of the directed flow of hyperons may provide important information about the properties of hot and dense matter created in high-energy heavy-ion collisions.

11 pages, 9 figures. version accepted for publication

References in corpus (14)

• An Introduction to PYTHIA 8.2
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Chiral effective field theory and nuclear forces
• Cold uniform matter and neutron stars in the quark-mesons-coupling model
• Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae
• Examination of the directed flow puzzle in heavy-ion collisions
• Directed Flow Indicates a Crossover Deconfinement Transition in Relativistic Nuclear Collisions
• Equation of state dependence of directed flow in a microscopic transport model
• The effect of "pre-formed" hadron potentials on the dynamics of heavy ion collisions and the HBT puzzle
• Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
• Scattering of decuplet baryons in chiral effective field theory
• Blast Wave Fits to Elliptic Flow Data at $\sqrt{s_{\mathrm{NN}}}=$ 7.7--2760 GeV
• Hyperon Dynamics in Heavy-ion Collisions near threshold energy

Cited by in corpus (6)

• Correlation of the hyperon potential stiffness with hyperon constituents in neutron stars and heavy-ion collisions
• Probing the incompressibility of dense hadronic matter near QCD phase transition in relativistic heavy-ion collisions
• Collective Excitation in High-Energy Nuclear Collisions -- In Memory of Professor Lianshou Liu
• Anti-flow of Mesons in the High Baryon Density Region
• Branching ratio and information entropy for the p+${}^{12}$C reaction in the extended-quantum-molecular-dynamics model
• Directed flow of $\Lambda$ from heavy-ion collisions and hyperon puzzle of neutron stars