Asymptotic characteristics of cluster channels within an ab initio approach

An approach has been developed to calculate the characteristics of cluster channels—the asymptotic normalization coefficients of bound states and the decay widths of narrow resonances of light nuclei. Realistic wavefunctions, in particular, those calculated within various variants of the ab initio approach to solve the Schrödinger equation for $A$ nucleons, are used as the wavefunctions of these states and channel-forming clusters. Cluster properties of strongly and weakly clustered states of the $^7$Li nucleus have been studied. It has been shown that the calculations of the asymptotic characteristics of cluster channels within the no-core shell model generally reproduce experimental data well but are sensitive in detail to the $NN$ potential.