H. Huber et H. Leeb, AN EXACT INVERSION METHOD FOR THE DETERMINATION OF SPIN-ORBIT POTENTIALS FROM SCATTERING DATA, EUROPEAN PHYSICAL JOURNAL A-HADRONS AND NUCLEI, 1(2), 1998, pp. 221-228
A generalized Newton-Sabatier inversion method which permits extractio
n from scattering data of central and spin-orbit potentials is present
ed. The inversion method originally developed by Sabatier and further
elaborated by Hooshyar and Richardson, has been reformulated to lead t
o physically reasonable solutions and to allow for its numerical imple
mentation. Numerical problems due to the occurrence of singularities i
n the transformation kernel are discussed and a successful application
using schematic scattering data is reported.