SOLVABLE 3-BOSON MODEL WITH ATTRACTIVE DELTA-FUNCTION INTERACTIONS

A one-parameter solvable model for three bosons subject to delta-funct ion attractive interactions in one dimension with periodic boundary co nditions is studied. The energy levels and wave functions are classifi ed and given explicitly in terms of three momenta. In particular, eige nstates and eigenvalues are described as functions of the model parame ter c. Some of the states are given in terms of complex momenta and re present dimer or trimer configurations for large negative c. The asymp totic behavior for small and large values of the parameter, and at thr esholds between real and complex momenta, is provided. The properties of the potential energy are also discussed.