Analytic extension of the nuclear algebraic potential

An analytic extension of the nuclear algebraic potential in the complex energy and angular momentum planes is discussed and an approximation for the algebraic potential in agreement with the known analytic properties of the S-matrix is proposed. The invariance of the energy spectrum of the Coulomb part of the interaction is established. The results are applied to the Regge pole analysis of the $^{12}\mathrm{C}$${+}^{24}$Mg elastic collision at ${\mathit{E}}_{\mathit{l}\mathit{a}\mathit{b}}$=23.0 MeV.