Scattering theory and equation of state of a spherical two-dimensional Bose gas

We analyze the scattering problem of identical bosonic particles confined on a spherical surface. At low energies and for radius much larger than healing length, we express contact interaction strength in terms s-wave length. Adopting this relation, are then able to regularize zero-point energy Bose gas obtain its equation state, which includes corrections due finite sphere coincides with flat-case result infinite-radius limit. also provide microscopic derivation superfluid density system, reproducing postulated previous work. Our results relevant modeling ongoing microgravity experiments two-dimensional bubble-trapped Bose-Einstein condensates.