Asymptotic Behavior of Clebsch-Gordan Coefficients

Abstract

In this study, the Clebsch-Gordan coefficients are expressed using the generalized hypergeometric functions of unit argument and binomial coefficients, and their behavior as a function of quantum numbers is examined. The Clebsch-Gordan coefficients are also numerically computed for integer and non-integer quantum numbers. Subsequently, the convergence between the Clebsch-Gordan and asymptotic Clebsch-Gordan coefficients is investigated based on the orbital angular momentum quantum numbers.