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

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 d α phase shifts. By analytic continuation of K( E) thus obtained to the corresponding poles the ANCs and VCs for D wave d α resonances with J = 1, 2, 3 are calculated for the first time. The 1-resonance and the bound state of Li ( J = 1) are considered jointly in the two-channel ( S + D) effective-range approach and the ANCs and VCs for the ground Li state are found. [ABSTRACT FROM AUTHOR]