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In the Bose-Einstein condensation of interacting atoms or molecules such as87Rb, 23Na and 7Li, the theoretical understanding of the transition temperatureis not always obvious due to the interactions or zero point energy which cannotbe exactly taken into account. The S-wave collision model fails sometimes toaccount for the condensation temperatures. In this work, we look at the problemwithin the nonextensive statistics which is considered as a possible theorydescribing interacting systems. The generalized energy Uq and the particlenumber Nq of boson gas are given in terms of the nonextensive parameter q. q>1(q<1) implies repulsive (attractive) interaction with respect to the perfectgas. The generalized condensation temperature Tcq is derived versus Tc given bythe perfect gas theory. Thanks to the observed condensation temperatures, wefind q ~ 0.1 for 87Rb atomic gas, q ~ 0.95 for 7Li and q ~ 0.62 for 23Na. It isconcluded that the effective interactions are essentially attractive for thethree considered atoms, which is consistent with the observed temperatureshigher than those predicted by the conventional theory.

A nonextensive approach to Bose-Einstein condensation of trapped interacting boson gas