  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.
