dorsal/arxiv
View SchemaPerturbation of Embedded Eigenvalue by a Near-Lying Resonance
| Authors | V. B. Belyaev, A. K. Motovilov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9606012 |
| URL | https://arxiv.org/abs/nucl-th/9606012 |
| DOI | 10.1007/BF02634200 |
| Journal | Theor. Math. Phys. 111 (1997) 454-466; Teor. Mat. Fiz. 111:1 (1997) 77-93 |
Abstract
The case of quantum-mechanical system (including electronic molecules) is considered where Hamiltonian allows a separation, in particular by the Faddeev method, of a weakly coupled channel. Width (i.e. the imaginary part) of the resonance generated by a discrete spectrum eigenvalue of the separated channel is studied in the case where main part of the Hamiltonian gives itself another resonance. It is shown that if real parts of these resonances coincide and, at the same time, a coupling between the separated and main channels is sufficiently small then the width of the resonance generated by the separated (molecular) channel is inversely proportional to the width of the main (nuclear) channel resonance. This phenomenon being a kind of universal law, may play an important role increasing the ``cold fusion'' probability in electronic molecules whose nuclear constituents have narrow pre-threshold resonances.
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"abstract": "The case of quantum-mechanical system (including electronic molecules) is\nconsidered where Hamiltonian allows a separation, in particular by the Faddeev\nmethod, of a weakly coupled channel. Width (i.e. the imaginary part) of the\nresonance generated by a discrete spectrum eigenvalue of the separated channel\nis studied in the case where main part of the Hamiltonian gives itself another\nresonance. It is shown that if real parts of these resonances coincide and, at\nthe same time, a coupling between the separated and main channels is\nsufficiently small then the width of the resonance generated by the separated\n(molecular) channel is inversely proportional to the width of the main\n(nuclear) channel resonance. This phenomenon being a kind of universal law, may\nplay an important role increasing the ``cold fusion\u0027\u0027 probability in electronic\nmolecules whose nuclear constituents have narrow pre-threshold resonances.",
"arxiv_id": "nucl-th/9606012",
"authors": [
"V. B. Belyaev",
"A. K. Motovilov"
],
"categories": [
"nucl-th",
"chem-ph",
"quant-ph"
],
"doi": "10.1007/BF02634200",
"journal_ref": "Theor. Math. Phys. 111 (1997) 454-466; Teor. Mat. Fiz. 111:1\n (1997) 77-93",
"title": "Perturbation of Embedded Eigenvalue by a Near-Lying Resonance",
"url": "https://arxiv.org/abs/nucl-th/9606012"
},
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