Long-range behaviour in hyperspherical formalism

dc.creatorTimofeyuk, N. K.
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:42:05Z
dc.date.available2026-07-07T07:42:05Z
dc.descriptionIt 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 $^5$He using a simplified description of the $^4$He core and two versions of the Volkov potential which give $^5$He 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 $^5$He. The values obtained of these quantities are very close to those calculated in a microscopic cluster model.
dc.description17 pages, 4 figures, submitted to Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/nucl-th/0701061
dc.identifierhttp://arxiv.org/abs/nucl-th/0701061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122359
dc.subjectNuclear Theory
dc.titleLong-range behaviour in hyperspherical formalism
dc.typetext

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