Three-body asymptotic normalization factors for halo nuclei and their determination

The explicit forms of the true asymptotics of the three-body (312) bound state radial wave functions of halo nuclei a both with two loosely bound external neutrons and with two charged particles, valid in different parts of the asymptotic region of the configuration space, are presented. The results for three-body asymptotic normalization factors for α + n + n → ⁶He and n + α + α → ⁹Be obtained from the comparative analysis of these asymptotic forms with the specific approximate model wave functions for asymptotic regions are also given