Abstract
The method of finding the values of asymptotic normalization coefficients (ANC) is proposed based on the analytic continuation of the \(R\) -matrix that describes the elastic nuclear scattering into the unphysical region of the negative energy of collision ( \(E<0\) ). The formula is derived, expressing the partial-wave scattering amplitude through the \(R\) -matrix and modified Coulomb functions. This formula allows, when continuing the amplitude to the region \(E<0\) , to overcome difficulties associated with irregular behavior of the scattering amplitude near \(E=0\) if the Coulomb interaction is present. The proposed method is used to determine the ANC for the channel \({}^{16}\textrm{O}\to\alpha+{}^{12}\) C.
