dorsal/arxiv
View SchemaNonlinear Enhancement of the Multiphonon Coulomb Excitation in Relativistic Heavy Ion Collisions
| Authors | M. S. Hussein, A. F. R. de Toledo Piza, O. K. Vorov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808073 |
| URL | https://arxiv.org/abs/nucl-th/9808073 |
| DOI | 10.1103/PhysRevC.59.R1242 |
| Journal | Phys.Rev. C59 (1999) 1242-1246 |
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. Enhancement of the Double Giant Resonance excitation probabilities in relativistic ion collisions scales as $(2 k +1)(2k)^{-1}$ for the degree of nonlinearity $(2k)^{-1}$ and is able to reach values $1.5-2$ compatible with experimental data. The enhancement factor is found to decrease with increasing bombarding energy. [KEYWORDS: Relativistic Heavy Ion Collisions,Double Giant Resonance]
{
"annotation_id": "fd42acce-1b92-42e3-8f82-0e51406fc3a5",
"date_created": "2026-03-02T18:00:22.151000Z",
"date_modified": "2026-03-02T18:00:22.151000Z",
"file_hash": "19d4c19aef8f15e4b3c5ececa1a6a7ce7c385c26eb484d5efe79fb43a1d528bd",
"private": false,
"record": {
"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. Enhancement of the Double Giant Resonance excitation\nprobabilities in relativistic ion collisions scales as $(2 k +1)(2k)^{-1}$ for\nthe degree of nonlinearity $(2k)^{-1}$ and is able to reach values $1.5-2$\ncompatible with experimental data. The enhancement factor is found to decrease\nwith increasing bombarding energy. [KEYWORDS: Relativistic Heavy Ion\nCollisions,Double Giant Resonance]",
"arxiv_id": "nucl-th/9808073",
"authors": [
"M. S. Hussein",
"A. F. R. de Toledo Piza",
"O. K. Vorov"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.59.R1242",
"journal_ref": "Phys.Rev. C59 (1999) 1242-1246",
"title": "Nonlinear Enhancement of the Multiphonon Coulomb Excitation in Relativistic Heavy Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9808073"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b2692adf-98d1-4eec-bee3-fc78e48e615f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}