dorsal/arxiv
View SchemaCrossed-boson exchange contribution and Bethe-Salpeter equation
| Authors | L. Theussl, B. Desplanques |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9908007 |
| URL | https://arxiv.org/abs/nucl-th/9908007 |
| DOI | 10.1016/S0146-6410(00)00065-X |
| Journal | Few Body Syst. 30 (2001) 5-19; Prog.Part.Nucl.Phys. 44 (2000) 123-124 |
Abstract
The contribution to the binding energy of a two-body system due to the crossed two-boson exchange contribution is calculated, using the Bethe-Salpeter equation. This is done for distinguishable, scalar particles interacting via the exchange of scalar massive bosons. The sensitivity of the results to the off-shell behavior of the operator accounting for this contribution is discussed. Large corrections to the Bethe-Salpeter results in the ladder approximation are found. For neutral scalar bosons, the mass obtained for the two-body system is close to what has been calculated with various forms of the instantaneous approximation, including the standard non-relativistic approach. The specific character of this result is demonstrated by a calculation involving charged bosons, which evidences a quite different pattern. Our results explain for some part those obtained by Nieuwenhuis and Tjon on a different basis. Some discrepancy appears with increasing coupling constants, suggesting the existence of sizeable contributions involving more than two-boson exchanges.
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"abstract": "The contribution to the binding energy of a two-body system due to the\ncrossed two-boson exchange contribution is calculated, using the Bethe-Salpeter\nequation. This is done for distinguishable, scalar particles interacting via\nthe exchange of scalar massive bosons. The sensitivity of the results to the\noff-shell behavior of the operator accounting for this contribution is\ndiscussed. Large corrections to the Bethe-Salpeter results in the ladder\napproximation are found. For neutral scalar bosons, the mass obtained for the\ntwo-body system is close to what has been calculated with various forms of the\ninstantaneous approximation, including the standard non-relativistic approach.\nThe specific character of this result is demonstrated by a calculation\ninvolving charged bosons, which evidences a quite different pattern. Our\nresults explain for some part those obtained by Nieuwenhuis and Tjon on a\ndifferent basis. Some discrepancy appears with increasing coupling constants,\nsuggesting the existence of sizeable contributions involving more than\ntwo-boson exchanges.",
"arxiv_id": "nucl-th/9908007",
"authors": [
"L. Theussl",
"B. Desplanques"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0146-6410(00)00065-X",
"journal_ref": "Few Body Syst. 30 (2001) 5-19; Prog.Part.Nucl.Phys. 44 (2000)\n 123-124",
"title": "Crossed-boson exchange contribution and Bethe-Salpeter equation",
"url": "https://arxiv.org/abs/nucl-th/9908007"
},
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