Stability of Bose condensed atomic 7-Li

We study the stability of a Bose condensate of atomic 7-Li in an (harmonic oscillator) magnetic trap at non-zero temperatures. In analogy to the stability criterion for a neutron star, we conjecture that the gas becomes unstable if the free energy as a function of the central density of the cloud has a local extremum which conserves the number of particles at the point of instabillity decreases with increasing temperature, and that for the temperature interval considered, the normal part of the gas is stable against density fluctuations at this point