dorsal/arxiv
View SchemaLong-range behaviour in hyperspherical formalism
| Authors | N. K. Timofeyuk |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701061 |
| URL | https://arxiv.org/abs/nucl-th/0701061 |
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 $^5$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.
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"date_created": "2026-03-02T18:00:11.215000Z",
"date_modified": "2026-03-02T18:00:11.215000Z",
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"abstract": "It is shown that hyperspherical harmonics can be represented in a form\ntypical of traditional microscopic cluster models. This allows those\nhyperharmonics that are responsible for long-range behaviour of valence\nnucleons in loosely-bound nuclei to be selected. The hyperspherical cluster\nmodel based on such hyperharmonics is tested for $^5$He using a simplified\ndescription of the $^4$He core and two versions of the Volkov potential which\ngive $^5$He as either bound or unbound. The study has confirmed that it is\npossible to get a converged solution for binding energy, r.m.s. radius, overlap\nintegral and asymptotic normalization coefficient with small number of basis\nfunctions for bound $^5$He. The values obtained of these quantities are very\nclose to those calculated in a microscopic cluster model.",
"arxiv_id": "nucl-th/0701061",
"authors": [
"N. K. Timofeyuk"
],
"categories": [
"nucl-th"
],
"title": "Long-range behaviour in hyperspherical formalism",
"url": "https://arxiv.org/abs/nucl-th/0701061"
},
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"source": {
"execution_id": "b45ddcff-ca17-40e6-a9b0-bc0dbd6a0f45",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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