$$\boldsymbol{p}\boldsymbol{-}^{\mathbf{12}}$$C and $$\boldsymbol{p}\boldsymbol{-}\boldsymbol{d}$$ Scattering within the Separable Model of Interaction

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

“…We have checked that our eqs (32), ( 44) and (63) reproduce proper Hulthén limits when α = 0 [31,44] and Manning-Rosen one for λ = 0 [33,34]. Also, when the Manning-Rosen interaction is turned off, i.e.…”

“…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.…”

Exact solutions of the Schrödinger equation for Manning-Rosen plus Yamaguchi potential

“…The closed form expressions for the Laplace transforms of Coulomb and Hulthén Green's functions to deal with the scattering by Coulomb/Hulthén plus nonlocal separable potentials have earlier been published in a number of publications [1][2][3][4][5][6][7][8][9][10][11][12][13]. In this article we present the result of a similar investigation by using the Manning-Rosen potential in place of pure Coulomb or Hulthén interaction.…”

“…Thus, it is desirable to include this interaction explicitly. Coulomb plus nonlocal or Hulthén plus nonlocal problems have been treated by several authors [3, [5][6][7][8][9][10][11][12][13]. These treatments have the ability to reproduce the currently accepted scattering or bound state observables for various nuclear systems.…”