dorsal/arxiv
View SchemaExtrapolation method in shell model calculations with deformed basis
| Authors | Takahiro Mizusaki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0408070 |
| URL | https://arxiv.org/abs/nucl-th/0408070 |
| DOI | 10.1103/PhysRevC.70.044316 |
| Journal | Phys.Rev. C70 (2004) 044316 |
Abstract
An extrapolation method in shell model calculations with deformed basis is presented, which uses a scaling property of energy and energy variance for a series of systematically approximated wave functions to the true one. Such approximated wave functions are given by variation-after-projection method concerning the full angular momentum projection. This extrapolation needs energy variance, which amounts to the calculation of expectation value of square of Hamiltonian $\hat{H}^2$. We present the method to evaluate this matrix element and show that large reduction of its numerical computation can be done by taking an advantage of time-reversal symmetry. The numerical tests are presented for $fp$ shell calculations with a realistic residual interaction.
{
"annotation_id": "d13d3ef2-03f6-4acc-a42b-ea51a2a031a8",
"date_created": "2026-03-02T18:00:01.596000Z",
"date_modified": "2026-03-02T18:00:01.596000Z",
"file_hash": "03cfb49dccb22cc057419792175b3aea5c911f002df19611995f30df1ef460cc",
"private": false,
"record": {
"abstract": "An extrapolation method in shell model calculations with deformed basis is\npresented, which uses a scaling property of energy and energy variance for a\nseries of systematically approximated wave functions to the true one. Such\napproximated wave functions are given by variation-after-projection method\nconcerning the full angular momentum projection. This extrapolation needs\nenergy variance, which amounts to the calculation of expectation value of\nsquare of Hamiltonian $\\hat{H}^2$. We present the method to evaluate this\nmatrix element and show that large reduction of its numerical computation can\nbe done by taking an advantage of time-reversal symmetry. The numerical tests\nare presented for $fp$ shell calculations with a realistic residual\ninteraction.",
"arxiv_id": "nucl-th/0408070",
"authors": [
"Takahiro Mizusaki"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.044316",
"journal_ref": "Phys.Rev. C70 (2004) 044316",
"title": "Extrapolation method in shell model calculations with deformed basis",
"url": "https://arxiv.org/abs/nucl-th/0408070"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "079ecc13-9962-4eac-973f-b84d504a4404",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}