Long-range behaviour in hyperspherical formalism
Abstract
It is shown that hyperspherical harmonics can be represented in a form typical of traditional microscopic cluster models. This allows those hyperharmonics that are responsible for long-range behaviour of valence nucleons in loosely-bound nuclei to be selected. The hyperspherical cluster model based on such hyperharmonics is tested for 5He using a simplified description of the 4He core and two versions of the Volkov potential which give 5He as either bound or unbound. The study has confirmed that it is possible to get a converged solution for binding energy, r.m.s. radius, overlap integral and asymptotic normalization coefficient with small number of basis functions for bound 5He. The values obtained of these quantities are very close to those calculated in a microscopic cluster model.
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