Thermodynamics of a gas of hadrons with attractive and repulsive interaction within S-matrix formalism

Abstract

We report the effect of including repulsive interactions on various thermodynamic observables calculated using a S-matrix based Hadron Resonance Gas (HRG) model to already available corresponding results with only attractive interactions [A. Dash, S. Samanta, and B. Mohanty, Phys. Rev. C 97, 055208 (2018)]. The attractive part of the interaction is calculated by parameterizing the two body phase shifts using K-matrix formalism while the repulsive part is included by fitting to the experimental phase shifts which carry the information about the nature of the interaction. We find that the bulk thermodynamic variables for a gas of hadrons such as energy density, pressure, entropy density, speed of sound and specific heat are suppressed by the inclusion of repulsive interactions and are more pronounced for second and higher order correlations and fluctuations, particularly for the observables ${\chi }_Q^2$, ${\chi }_B^2-{\chi }_B^4$ and $C_{BS}$ in the present model. We find a good agreement between lattice QCD simulations and the present model for $C_{BS}$. We have also computed two leading order Fourier coefficients of the imaginary part of the first order baryonic susceptibility at imaginary baryon chemical potential within this model and compared them with the corresponding results from lattice. Additionally, assuming that the value of interacting pressure versus temperature for a gas of hadrons calculated in S-matrix formalism is same as that from a van der Waals HRG (VDWHRG) model, we have quantified the attractive and repulsive interactions in our model in terms of attractive and repulsive parameters used in the VDWHRG model. The values of parameters thus obtained are $a=1.54\pm 0.064$ GeV ${\text{fm}}^3$ and $r=0.81\pm 0.014$ fm.

References in corpus (73)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The equation of state in (2+1)-flavor QCD
• Full result for the QCD equation of state with 2+1 flavors
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• The QCD phase diagram for small densities from imaginary chemical potential
• Decoding the phase structure of QCD via particle production at high energy
• The QCD thermal phase transition in the presence of a small chemical potential
• Hadron production in Au-Au collisions at RHIC
• Finite density QCD via imaginary chemical potential
• Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
• Chemical Equilibration in Pb+Pb Collisions at the SPS
• Thermal hadron production in relativistic nuclear collisions: the hadron mass spectrum, the horn, and the QCD phase transition
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Energy and system size dependence of chemical freeze-out in relativistic nuclear collisions
• Fluctuations of conserved charges at finite temperature from lattice QCD
• Features of particle multiplicities and strangeness production in central heavy ion collisions between 1.7A and 158A GeV/c
• Chemical and Thermal Freeze-Out Parameters from 1 to 200 A.GeV
• Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Scale for the Phase Diagram of Quantum Chromodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• Baryon-strangeness correlations: a diagnostic of strongly interacting matter
• QCD at finite chemical potential with six time slices
• Fluctuations and correlations in high temperature QCD
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freeze-out in Heavy Ion Collisions
• Is there a flavor hierarchy in the deconfinement transition of QCD?
• van der Waals Interactions in Hadron Resonance Gas: From Nuclear Matter to Lattice QCD
• Excluded volume hadron gas model for particle number ratios in A+A collisions
• Interacting hadron resonance gas meets lattice QCD
• The analysis of particle multiplicities in Pb+Pb collisions at 158A GeV/c within hadron gas models
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Strangeness at high temperatures: from hadrons to quarks
• Constraining the hadronic spectrum through QCD thermodynamics on the lattice
• Parameterization dependence of T matrix poles and eigenphases from a fit to piN elastic scattering data
• Repulsive baryonic interactions and lattice QCD observables at imaginary chemical potential
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Matching Excluded Volume Hadron Resonance Gas Models and Perturbative QCD to Lattice Calculations
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Van der Waals Equation of State with Fermi Statistics for Nuclear Matter
• Scaled variance, skewness, and kurtosis near the critical point of nuclear matter
• Thermodynamics of Delta resonances
• Dissipative properties of hot and dense hadronic matter in excluded volume hadron resonance gas model
• Description of Hot and Dense Hadron Gas Properties in a New Excluded-Volume model
• Hadron Resonance Gas Equation of State from Lattice QCD
• Baryon Number Fluctuations from a Crossover Equation of State Compared to Heavy-Ion Collision Measurements in the Beam Energy Range $\sqrt{s_{NN}}$ = 7.7 to 200 GeV
• Cancellation of the sigma meson in thermal models
• Hadron Resonance Gas with Repulsive Interactions and Fluctuations of Conserved Charges
• Multicomponent van der Waals equation of state: Applications in nuclear and hadronic physics
• Fluctuations and correlations of conserved charges in an excluded volume hadron resonance gas model
• Hadron-Resonance Gas at Freeze-out: Reminder on Importance of Repulsive Interactions
• Particle Number Fluctuations for van der Waals Equation of State
• Partial-Wave Analysis of Nucleon-Nucleon Elastic Scattering Data
• S-matrix analysis of the baryon electric charge correlation
• The nature of the Roberge-Weiss transition in $N_f=2$ QCD with Wilson fermions
• Equations of state for real gases on the nuclear scale
• New scenarios for hard-core interactions in a hadron resonance gas
• Examination of the sensitivity of the thermal fits to heavy-ion hadron yield data to the modeling of the eigenvolume interactions
• Criticality in a Hadron Resonance Gas model with the van der Waals interaction
• Flavor-dependent eigenvolume interactions in a hadron resonance gas
• Effects of $\rho$-meson width on pion distributions in heavy-ion collisions
• Thermodynamics of Van der Waals Fluids with quantum statistics
• Shear viscosity of hadrons with K-matrix cross sections
• Roberge-Weiss transition in $N_{\text{f}}=2$ QCD with Wilson fermions and $N_{\tau }=6$
• Repulsive interactions and their effects on the thermodynamics of hadron gas
• Interacting hadron resonance gas model in K-matrix formalism
• Freezeout systematics due to the hadron spectrum
• Excluded-volume effects for a hadron gas in Yang-Mills theory
• Freezeout conditions in proton-proton collisions at the top RHIC and LHC energies
• Centrality dependence of chemical freeze-out parameters from net-proton and net-charge fluctuations using hadron resonance gas model
• Monte Carlo approach to the excluded-volume hadron resonance gas in grand canonical and canonical ensembles
• Net Baryon Fluctuations from a Crossover Equation of State

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• Transport coefficients for multi-component gas of hadrons using Chapman Enskog method
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• QFT treatment of a bound state in a thermal gas
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Cancellation of the sigma mode in the thermal pion gas by quark Pauli blocking
• Exact strangeness conservation in heavy ion collisions