The Fredholm determinant for Hulthén-distorted non-local separable potential: Application to $$ \alpha {-}\alpha $$ elastic scattering

On the $$\text{p}{-}^{{2}}\text{H}_{{1}} $$ and $$\text{p}{-}^{{16}}\text{O}\,$$ elastic scattering

“…Equation ( 15) in conjunction with eqs (24), ( 29) and (30) gives the regular solution φ(χ, s) for Manning-Rosen plus Yamaguchi potential…”

“…Thus, there is no loss of generality if we get exact solution to investigate the system because a local potential can be replaced distinctly by a separable non-local potential. The problems with Coulomb or Hulthén plus rational separable potentials have been studied at length by various groups [19][20][21][22][23][24][25][26][27][28][29][30][31]. But the problem related to Manning-Rosen plus separable interaction has not yet been treated in the literature.…”