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

3rd International Workshop on "State of the Art in Nuclear Cluster Physics"

Yarmukhamedov, R.^1

Institute of Nuclear Physics, Ulughbek, Tashkent

100214, Uzbekistan^1

关键词: Approximate model;    Asymptotic forms;    Bound state;    Comparative analysis;    Configuration space;    Explicit form;    Normalization factors;    Radial wave functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/569/1/012037/pdf
DOI  :  10.1088/1742-6596/569/1/012037

来源: IOP

【 摘 要 】

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.