A direct study of a Marchenko fundamental equation with centripetal potential

A direct study of a class of singular (l≠0) fundamental equations is shown to be possible. The method used for this proof follows Marchenko’s nonsingular (l = 0) approach, step by step. Throughout the paper the interest of a simultaneous study of the ’’Marchenko associated equation’’ is stressed. Also it will be shown why the Marchenko approach does not extend to complex interactions. In order to treat a complex interaction one must therefore resort to a new set of ideas.