Multichannel phase-equivalent transformation and supersymmetry

A phase-equivalent transformation of local interaction is generalized to th e multichannel case in the direct-scattering problem. Generally, the transf ormation does not change the number of bound states in the system and their energies. For a special choice of the parameters involved, however, the tr ansformation removes one of the bound states and is equivalent to the multi channel supersymmetry transformation recently proposed by J.M. Sparenberg a nd D. Baye (1997). With the aid of the transformation, it is also possible to add a bound state to the discrete spectrum of the system at a given ener gy E < 0 if the angular momentum l <greater than or equal to> 2 in at least one of the coupled channels. (C) 2000 MAIK "Nauka/Interperiodica".