Study of the Influence of Different Methods of Taking into Account the Coulomb Interaction on Determining Asymptotic Normalization Coefficients within the Framework of Exactly Solvable Model

Abstract It is shown that the Schrödinger equation for sum of potential a square well and Coulomb uniformly charged sphere admits an analytical solution arbitrary values orbital angular momentum. An explicit form this has been found. Using obtained solution, influence interaction both point distributed nuclear charges on asymptotic normalization coefficients various systems investigated. taking into account non-point distribution charge little effect calculated coefficients, provided binding energy system assumed to be fixed.