SYSTEMS OF SELF-GRAVITATING BOSONS WITH A CUTOFF IN THEIR DISTRIBUTION FUNCTION - NEWTONIAN TREATMENT

We examine the Newtonian equilibrium configurations of a system of bosons undergoing quantum condensation, with a distribution function with a cutoff in the momentum space. Bounded configurations with a core of condensed particles surrounded by an uncondensed phase are obtained. The results are compared and contrasted with the ones in which the spatial divergences are removed by a cut-off in density. The well-known solution corresponding to fully condensed configurations is obtained for suitable values of the central density. © 1990 Società Italiana di Fisica.