Nucleons and isobars at finite density ( ρ) and temperature ( T)
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The importance of studying matter at high ρ increases as more astrophysical data becomes available from recently launched spacecrafts. The importance of high-T studies derives from heavy-ion data. In this paper we set up a formalism to study the nucleons and isobars with long- and short-range potentials non-pertubatively, bosonizing and expanding semi-classically the Feyman integrals up to one loop. We address the low-density, finite-T problem first, the case relevant to heavy-ion collisions, hoping to address the high-density case later. Interactions change the nucleon and isobar numbers at different ρ and T non-trivially.
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