Abstract
A new method of determining asymptotic normalization coefficients (ANC) corresponding to the two-channel virtual process A → B + C is suggested. The method makes use of the Coulomb-modified effective range (ER) expansion for the two-channel elastic BC scattering. The coefficients of the ER expansion are found using the results of the phase-shift analysis of the BC scattering. Then the ER expansion is analytically continued in energy to the pole corresponding to the bound state A. The ANC is directly related to the residue of the BC scattering amplitude at that pole. The method suggested is applied to the 6Li nucleus in the α + d channel. The ANCs for the S and D states of the relative αd motion are evaluated.
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