Bayesian inference of nuclear incompressibility from collective flow in mid-central Au+Au collisions at 400--1500 MeV/nucleon

Abstract

The incompressibility $K$ of symmetric nuclear matter (SNM) is determined through a Bayesian analysis of collective flow data from Au + Au collisions at beam energies $E=400-1500$ MeV/nucleon. This analysis utilizes a Gaussian process (GP) emulator applied to the isospin-dependent quantum molecular dynamics (IQMD) model for heavy-ion collisions, both with and without incorporating the momentum dependence of the single-nucleon potentials. Specifically, the inferred incompressibility values are $K=188.9_{-4.5}^{+2.9}$ MeV and $256.1_{-8.7}^{+8.2}$ MeV at $E=400$ MeV/nucleon, respectively, at the 68\% confidence level using rapidity and transverse velocity dependence of proton elliptic flow data, with and without consideration of the momentum dependence. When the transverse momentum dependence of proton-like directed flow data is included, the inferred incompressibility values become $K=222.3_{-9.9}^{+9.0}$ MeV and $K=285.5_{-7.3}^{+6.7}$ MeV, respectively. Furthermore, we found that the value of $K$ derived from observables of proton elliptic flow increases with beam energy. This indicates that the equation of state (EoS) of nuclear matter hardens at higher densities and temperatures in reactions with higher beam energies.

11 pages, 8 figures, 1 table; Chinese Physics C

References in corpus (63)

• Collective flow and viscosity in relativistic heavy-ion collisions
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Modelling the many-body dynamics of heavy ion collisions: Present status and future perspective
• Constraining Neutron-Star Matter with Microscopic and Macroscopic Collisions
• Neutron Stars and the Nuclear Equation of State
• The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects
• The Compression-Mode Giant Resonances and Nuclear Incompressibility
• Do hyperons exist in the interior of neutron stars ?
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Determination of the Mean-Field Momentum-Dependence using Elliptic Flow
• Incompressibility in finite nuclei and nuclear matter
• Nucleon Effective Masses in Neutron-Rich Matter
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Constraining the Eq. of State of Super-Hadronic Matter from Heavy-Ion Collisions
• Constraining the nuclear matter equation of state around twice saturation density
• Disappearance of Elliptic Flow: A New Probe for the Nuclear Equation of State
• Constraining the nuclear equation of state at subsaturation densities
• Excitation function of elliptic flow in Au+Au collisions and the nuclear matter equation of state
• Determining Fundamental Properties of Matter Created in Ultrarelativistic Heavy-Ion Collisions
• Comparison of heavy-ion transport simulations: Collision integral in a box
• Do we understand the incompressibility of neutron-rich matter?
• Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances
• Hyperon-nucleon three-body forces and strangeness in neutron stars
• Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison
• Roles of Hyperons in Neutron Stars
• Effects of symmetry energy on equation of state for simulations of core-collapse supernovae and neutron-star mergers
• Determination of the Equation of State from Nuclear Experiments and Neutron Star Observations
• The many facets of the (non relativistic) Nuclear Equation of State
• Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses
• Exploring QCD matter in extreme conditions with Machine Learning
• Directed flow in Au+Au, Xe+CsI and Ni+Ni collisions and the nuclear equation of state
• Hyperons in neutron stars and supernova cores
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• 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
• Momentum Dependence of Nuclear Mean Field and multifragmentation in Heavy-Ion Collisions
• Nuclear liquid-gas phase transition with machine learning
• Phase Transition Study meets Machine Learning
• Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius and tidal deformability of canonical neutron stars
• Sensitivity of Au+Au collisions to the symmetric nuclear matter equation of state at 2 -- 5 nuclear saturation densities
• Phase transitions and critical behavior in hadronic transport with a relativistic density functional equation of state
• Are nuclear matter properties correlated to neutron star observables ?
• On the Origin of the Elliptic Flow and its Dependence on the Equation of State in Heavy Ion Reactions at Intermediate Energies
• QCD Equation of State of Dense Nuclear Matter from a Bayesian Analysis of Heavy-Ion Collision Data
• Quenching of resonance production in heavy-ion collisions at 1-2 A GeV
• Nearly model-independent constraints on dense matter equation of state in a Bayesian approach
• Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions
• Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Effects of sequential decay on collective flows and nuclear stopping power in heavy-ion collisions at intermediate energies
• Empirical radius formulas for canonical neutron stars from bidirectionally selecting EOS features in extended Bayesian analyses of observational data
• Bayesian inference of finite-nuclei observables based on the KIDS model
• Bayesian inference on the isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Strangeness production in heavy ion reactions at intermediate energies
• Bayesian inference of in-medium baryon-baryon scattering cross sections from HADES proton flow data
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Astrophysics with heavy-ion beams
• Bayesian inference of neutron-skin thickness and neutron-star observables based on effective nuclear interactions
• Flow and Equation of State of nuclear matter at ${\mathbf{E}}_{\mathrm{kin}}$/A=0.25-1.5 GeV with the SMASH transport approach
• Differential analysis of incompressibility in neutron-rich nuclei
• Neural Network Emulation of Flow in Heavy-Ion Collisions at Intermediate Energies
• Impact parameter dependence of anisotropic flow: Bayesian reconstruction in ultracentral nucleus-nucleus collisions
• From masses and radii of neutron stars to EOS of nuclear matter through neural network
• Evolutions of in-medium baryon-baryon scattering cross sections and stiffness of dense nuclear matter from Bayesian analyses of FOPI proton flow excitation functions

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