Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances
Abstract
We present here useful relations showing the connection between the asymptotic normalization coefficient (ANC) and the fitting parameters in K- and R-matrix theory methods which are often used when analyzing low energy experimental data. It is shown that the ANC of a subthreshold bound state defines thr normalization of both direct radiative capture leading to this state and resonance capture in which the start: behaves like a subthreshold resonance. A determination of the appropriate ANC(s) thus offers an alternative method for finding the strength of these types of capture reactions, both of which are important in nuclear astrophysics. [S0556-2813(99)01006-7].