  The importance of studying matter at high $\rho$ 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=A0 first, the case relevant to heavy ion collisions, hoping to adresss
the high density case later. Interactions change the nucleon and isobar numbers
at different $\rho$ and T non-trivially.
