Padé Phenomenology for Two-Body Bound States

Padé approximants in the squared momentum variable, recently used for elastic scattering, are employed in generating accurate analytic approximants for bound states. Through iteration, [L/L+1] approximants yield the lowest eigenstate of the homogeneous Lippmann-Schwinger equation for Yukawa, Malfliet-Tjon, and Reid soft core central potentials with, respectively, L=1, 2, and 3. Higher eigenstates are readily obtained; the second is given for the Yukawa potential. Analytic separable expansions and scattering expressions result. NUCLEAR STRUCTURE Padé approximants in k2, analytic two-body bound states, separable expansions, effective range parameters