Equation of State of an Interacting Pion Gas with Realistic $π$--$π$ Interactions

Details Equation of State of an Interacting Pion Gas with Realistic $π$--$π$ Interactions Equation of State of an Interacting Pion Gas with Realistic $π$--$π$ Interactions

1995-10-27

arxiv.org/abs/nucl-th/9510054v1

Phys.Rev.C53:3057-3068,1996

Physics

Nuclear Physics

Nuclear Theory

30 pages LaTeX, 3 postscript figures appended as uuencoded file

Scientific paper

10.1103/PhysRevC.53.3057

Within the finite-temperature Greens-function formalism we study the equation of state of a hot interacting pion gas at zero chemical potential. Employing realistic $\pi\pi$ meson-exchange interactions we selfconsistently calculate the in-medium single-pion selfenergy and the $\pi\pi$ scattering amplitude in the quasiparticle approximation. These quantities are then used to evaluate the thermodynamic potential, $\Omega_\pi$(T), from which the state variables: pressure-, entropy- and energy-density can be derived. In contrast to earlier calculations based on the low-energy Weinberg Lagrangian we find an overall increase as compared to the free-gas results. We also consider the possibility of a dropping $\rho$-meson mass as suggested by the 'Brown-Rho Scaling' law.

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