dorsal/arxiv
View SchemaQuarkonium bound-state problem in momentum space revisited
| Authors | A. Deloff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610075 |
| URL | https://arxiv.org/abs/quant-ph/0610075 |
| DOI | 10.1016/j.aop.2006.10.004 |
| Journal | AnnalsPhys.322:2315-2326,2007 |
Abstract
A semi-spectral Chebyshev method for solving numerically singular integral equations is presented and applied in the quarkonium bound-state problem in momentum space. The integrals containing both, logarithmic and Cauchy singular kernels, can be evaluated without subtractions by dedicated automatic quadratures. By introducing a Chebyshev mesh and using the Nystrom algorithm the singular integral equation is converted into an algebraic eigenvalue problem that can be solved by standard methods. The proposed scheme is very simple to use, is easy in programming and highly accurate.
{
"annotation_id": "6caad8ed-3445-48f0-b747-b0dfb346e338",
"date_created": "2026-03-02T18:02:30.491000Z",
"date_modified": "2026-03-02T18:02:30.491000Z",
"file_hash": "6166d1cf7d9c077be25695420f487d30cf3ebfc13916de7fdeb8dbf37f49a480",
"private": false,
"record": {
"abstract": "A semi-spectral Chebyshev method for solving numerically singular integral\nequations is presented and applied in the quarkonium bound-state problem in\nmomentum space. The integrals containing both, logarithmic and Cauchy singular\nkernels, can be evaluated without subtractions by dedicated automatic\nquadratures.\n By introducing a Chebyshev mesh and using the Nystrom algorithm the singular\nintegral equation is converted into an algebraic eigenvalue problem that can be\nsolved by standard methods.\n The proposed scheme is very simple to use, is easy in programming and highly\naccurate.",
"arxiv_id": "quant-ph/0610075",
"authors": [
"A. Deloff"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1016/j.aop.2006.10.004",
"journal_ref": "AnnalsPhys.322:2315-2326,2007",
"title": "Quarkonium bound-state problem in momentum space revisited",
"url": "https://arxiv.org/abs/quant-ph/0610075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "84d6ecfb-f700-414a-bf70-aecae55b1ee1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}