An approximation method for the solution of the coupled-channels inverse scattering problem at fixed energy

We present a method for the quantum mechanical inverse scattering problem a t fixed energy for coupled channels in reactions with composite particles a s clusters or nuclei having internal degrees of freedom. The scattered part icles can be excited by a local interaction between the relative motion aci d the internal dynamics which is written as an expansion in multipole terms . The inverse scattering problem is solved by an extension of the modified Newton-Sabatier method. We assume a special ansatz for thc integral kernel in the radial wavefunction which is used to calculate the matrix of the cou pling potential. The method has been applied to investigate the hypothetica l scattering of two nuclei interacting by a dipole-type interaction. Good a greement between the obtained potentials and the input data is found.