dorsal/arxiv
View SchemaVariational approach to anharmonic collective motion
| Authors | G. F. Bertsch, H. Feldmeier |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9612050 |
| URL | https://arxiv.org/abs/nucl-th/9612050 |
| DOI | 10.1103/PhysRevC.56.839 |
| Journal | Phys.Rev.C56:839-846,1997 |
Abstract
We derive large-amplitude collective equations of motion from the variational principle for the time-dependent Schroedinger equation. These equations reduce to the well-known diabatic formulas for vibrational frequencies in the small amplitude limit. The finite amplitude expression allows departures from harmonic behavior of giant resonances to be simply estimated. The relative shift of the second phonon falls with nuclear mass A as A^(-4/3) in the three modes we consider: monopole, dipole, and quadrupole. Numerically the effect is very small in heavy nuclei, as was found with other approaches.
{
"annotation_id": "dc93e5bf-750f-4785-9881-ec954160b1e5",
"date_created": "2026-03-02T18:00:17.861000Z",
"date_modified": "2026-03-02T18:00:17.861000Z",
"file_hash": "06235a8aeb17a81e14b597f195ebc2e247904bc9b11586f1664ea1558c7591d4",
"private": false,
"record": {
"abstract": "We derive large-amplitude collective equations of motion from the variational\nprinciple for the time-dependent Schroedinger equation. These equations reduce\nto the well-known diabatic formulas for vibrational frequencies in the small\namplitude limit. The finite amplitude expression allows departures from\nharmonic behavior of giant resonances to be simply estimated. The relative\nshift of the second phonon falls with nuclear mass A as A^(-4/3) in the three\nmodes we consider: monopole, dipole, and quadrupole. Numerically the effect is\nvery small in heavy nuclei, as was found with other approaches.",
"arxiv_id": "nucl-th/9612050",
"authors": [
"G. F. Bertsch",
"H. Feldmeier"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.839",
"journal_ref": "Phys.Rev.C56:839-846,1997",
"title": "Variational approach to anharmonic collective motion",
"url": "https://arxiv.org/abs/nucl-th/9612050"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "67a6f1c0-6708-4604-b0dc-d61221107506",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}