dorsal/arxiv
View SchemaGiant Resonances in Coulomb Excitations of Relativistic Ions
| Authors | M. S. Hussein, A. F. R. de Toledo Piza, O. K. Vorov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9908051 |
| URL | https://arxiv.org/abs/nucl-th/9908051 |
Abstract
We propose a soluble model to incorporate the nonlinear effects in the transition probabilities of the multiphonon Giant Dipole Resonances based on the SU(1,1) algebra. Analytical expressions for the multi-phonon transition probabilities are derived. For reasonably small magnitude of nonlinearity $x\simeq 0.1-0.2$ enhancement factor for the Double Giant Resonance excitation probabilities and the cross sections %in relativistic ion collisions reaches values $1.3-2$ compatible with experimental data.
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"date_created": "2026-03-02T18:00:25.441000Z",
"date_modified": "2026-03-02T18:00:25.441000Z",
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"abstract": "We propose a soluble model to incorporate the nonlinear effects in the\ntransition probabilities of the multiphonon Giant Dipole Resonances based on\nthe SU(1,1) algebra. Analytical expressions for the multi-phonon transition\nprobabilities are derived. For reasonably small magnitude of nonlinearity\n$x\\simeq 0.1-0.2$ enhancement factor for the Double Giant Resonance excitation\nprobabilities and the cross sections %in relativistic ion collisions reaches\nvalues $1.3-2$ compatible with experimental data.",
"arxiv_id": "nucl-th/9908051",
"authors": [
"M. S. Hussein",
"A. F. R. de Toledo Piza",
"O. K. Vorov"
],
"categories": [
"nucl-th"
],
"title": "Giant Resonances in Coulomb Excitations of Relativistic Ions",
"url": "https://arxiv.org/abs/nucl-th/9908051"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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