dorsal/arxiv
View SchemaResonant nuclear transition in the d-mu-Li6 muonic molecule
| Authors | S. A. Rakityansky, S. A. Sofianos, V. B. Belyaev, V. I. Korobov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9505039 |
| URL | https://arxiv.org/abs/nucl-th/9505039 |
| DOI | 10.1103/PhysRevA.54.1242 |
Abstract
The reaction rate of the nuclear fusion d+Li6 ----> Be8*(2+,0) is estimated in the case where the nuclei are confined to each other by a muon. For the description of nuclear transitions, a method which is analogous to the Linear Combination of Atomic Orbitals has been used. Using the complex coordinate rotation method, we found that a molecular d-mu-Li6 state exists with energy (-20.3084-i0.0066) eV and |\Psi_{m}(0)|=0.44x10^{-7} fm^-3/2. The nuclear wave functions needed, were constructed in the form of antisymmetrized products of harmonic-oscillator functions for the three-cluster approximation, (dd\alpha), to the five-body (NNNN\alpha) problem. It was found that the reaction rate \lambda is strongly dependent on the energy gap between the d-Li6 threshold and the energy of the final Be8^* resonant state. The value of \lambda obtained by averaging over the width of this resonance, is 0.183x10^10 sec^{-1}.
{
"annotation_id": "a5804527-be81-45cc-9d8d-2c597ebf5f43",
"date_created": "2026-03-02T18:00:15.346000Z",
"date_modified": "2026-03-02T18:00:15.346000Z",
"file_hash": "e4a918255c00fce5b00cc39427c544862622de4afd0dfc7938d7b3a837e87121",
"private": false,
"record": {
"abstract": "The reaction rate of the nuclear fusion d+Li6 ----\u003e Be8*(2+,0) is estimated\nin the case where the nuclei are confined to each other by a muon. For the\ndescription of nuclear transitions, a method which is analogous to the Linear\nCombination of Atomic Orbitals has been used. Using the complex coordinate\nrotation method, we found that a molecular d-mu-Li6 state exists with energy\n(-20.3084-i0.0066) eV and |\\Psi_{m}(0)|=0.44x10^{-7} fm^-3/2. The nuclear wave\nfunctions needed, were constructed in the form of antisymmetrized products of\nharmonic-oscillator functions for the three-cluster approximation, (dd\\alpha),\nto the five-body (NNNN\\alpha) problem. It was found that the reaction rate\n\\lambda is strongly dependent on the energy gap between the d-Li6 threshold and\nthe energy of the final Be8^* resonant state. The value of \\lambda obtained by\naveraging over the width of this resonance, is 0.183x10^10 sec^{-1}.",
"arxiv_id": "nucl-th/9505039",
"authors": [
"S. A. Rakityansky",
"S. A. Sofianos",
"V. B. Belyaev",
"V. I. Korobov"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevA.54.1242",
"title": "Resonant nuclear transition in the d-mu-Li6 muonic molecule",
"url": "https://arxiv.org/abs/nucl-th/9505039"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "eaf0f585-1258-4f38-9de6-2d32598cac55",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}