dorsal/arxiv
View SchemaEquation of State of an Interacting Pion Gas with Realistic $\pi$--$\pi$ Interactions
| Authors | R. Rapp, J. Wambach |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510054 |
| URL | https://arxiv.org/abs/nucl-th/9510054 |
| DOI | 10.1103/PhysRevC.53.3057 |
| Journal | Phys.Rev.C53:3057-3068,1996 |
Abstract
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.
{
"annotation_id": "26c88f9e-58ce-4578-be68-fb9ad03a8309",
"date_created": "2026-03-02T18:00:15.474000Z",
"date_modified": "2026-03-02T18:00:15.474000Z",
"file_hash": "f70828f275d75e23705d29ceda6f0bb972b29168332568f096303671e7b541c7",
"private": false,
"record": {
"abstract": "Within the finite-temperature Greens-function formalism we study the equation\nof state of a hot interacting pion gas at zero chemical potential. Employing\nrealistic $\\pi\\pi$ meson-exchange interactions we selfconsistently calculate\nthe in-medium single-pion selfenergy and the $\\pi\\pi$ scattering amplitude in\nthe quasiparticle approximation. These quantities are then used to evaluate the\nthermodynamic potential, $\\Omega_\\pi$(T), from which the state variables:\npressure-, entropy- and energy-density can be derived. In contrast to earlier\ncalculations based on the low-energy Weinberg Lagrangian we find an overall\nincrease as compared to the free-gas results. We also consider the possibility\nof a dropping $\\rho$-meson mass as suggested by the \u0027Brown-Rho Scaling\u0027 law.",
"arxiv_id": "nucl-th/9510054",
"authors": [
"R. Rapp",
"J. Wambach"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.53.3057",
"journal_ref": "Phys.Rev.C53:3057-3068,1996",
"title": "Equation of State of an Interacting Pion Gas with Realistic $\\pi$--$\\pi$ Interactions",
"url": "https://arxiv.org/abs/nucl-th/9510054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bc3cf113-733f-4874-9483-99330469acf3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}