The lowest scattering state of one-dimensional Bose gas with attractive   interactions
  We investigate the lowest scattering state of one-dimensional Bose gas with attractive interactions trapped in a hard wall trap. By solving the Bethe ansatz equation numerically we determine the full energy spectrum and the exact wave function for different attractive interaction parameters. The resultant density distribution, momentum distribution, reduced one body density matrix and two body correlation show that the decreased attractive interaction induces rich density profiles and specific correlation properties in the weakly attractive Bose gas. 
Yajiang Hao, Hongli Guo, Yunbo Zhang and Shu Chen
cond-mat.quant-gas cond-mat.str-el