S-matrix analysis of the baryon electric charge correlation

Abstract

We compute the correlation of the net baryon number with the electric charge (${\chi }_{BQ}$) for an interacting hadron gas using the S-matrix formulation of statistical mechanics. The observable ${\chi }_{BQ}$ is particularly sensitive to the details of the pion-nucleon interaction, which are consistently incorporated in the current scheme via the empirical scattering phase shifts. Comparing to the recent lattice QCD studies in the $(2+1)$-flavor system, we find that the natural implementation of interactions and the proper treatment of resonances in the S-matrix approach lead to an improved description of the lattice data over that obtained in the hadron resonance gas model.

6 pages, 2 figures, submitted to phys. lett. b

References in corpus (8)

• The equation of state in (2+1)-flavor QCD
• The QCD Equation of State to $\mathcal{O}({\mu }_B^6)$ from Lattice QCD
• Additional Strange Hadrons from QCD Thermodynamics and Strangeness Freeze-out in Heavy Ion Collisions
• Therminator: Thermal heavy-Ion generator
• Particle production in p-p collisions and prediction for LHC energy
• Searching for the rules that govern hadron construction
• S-matrix formulation of thermodynamics with N-body scatterings
• Repulsive interactions and their effects on the thermodynamics of hadron gas

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