Characteristics of d + α Bound and Resonant States from Analytic Continuation of the Effective-Range Expansion

Abstract

In the present work one- and two-channel approaches using the expansion of the effective-range function K(E) in powers of energy E are applied to obtain the asymptotic normalization coefficients (ANCs) and vertex constants (VCs) for the d + α system. The coefficients of the K(E) expansion are found by fitting the dα phase shifts. By analytic continuation of K(E) thus obtained to the corresponding poles the ANCs and VCs for D wave dα resonances with Jπ = 1+, 2+, 3+ are calculated for the first time. The 1+-resonance and the bound state of 6Li (Jπ = 1+) are considered jointly in the two-channel (S + D) effective-range approach and the ANCs and VCs for the ground 6Li state are found.