Bose-Einstein condensation in a two-dimensional system with sixty bosons

A 60-boson system confined on a sphere has been qualitatively studied based on symmetry considerations. The low-lying spectrum is dominated by the gro und rotation band based on the fullerene structure. In this band all the L = 1 to L = 5 states are found to be prohibited by symmetry. Therefore, ther e is a large gap lying between the ground state and the first excited state . The magnitude of this gap, which is associated with the critical temperat ure of Bose-Einstein condensation, has been evaluated. It is found that, th e smaller the radius of the sphere of confinement, the higher the critical temperature.