The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor   bosons with finite range Gaussian interactions
  We propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller compared to the inter-particle separation. This model is then solved via the asymptotic Bethe ansatz technique. The ferromagnetic ground state energy and chemical potential are derived analytically. We also investigate the effects of a finite range potential on the density profiles through local density approximation. Finite range potentials are more likely to lead to quasi Bose-Einstein condensation than zero range potentials. 
J. Y. Lee, X. W. Guan, A. del Campo and M. T. Batchelor
cond-mat.stat-mech