dorsal/arxiv
View SchemaRelationship of field-theory based single boson exchange potentials to current ones
| Authors | A. Amghar, B. Desplanques |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9910001 |
| URL | https://arxiv.org/abs/nucl-th/9910001 |
| DOI | 10.1007/s006010070025 |
| Journal | Few Body Syst. 28 (2000) 65-101 |
Abstract
It is shown that field-theory based single boson exchange potentials cannot be identified to those of the Yukawa or Coulomb type that are currently inserted in the Schr\"odinger equation. The potential which is obtained rather corresponds to this current single boson exchange potential corrected for the probability that the system under consideration is in a two-body component, therefore missing contributions due to the interaction of these two bodies while bosons are exchanged. The role of these contributions, which involve at least two boson exchanges, is examined. The conditions that allow one to recover the usual single boson exchange potential are given. It is shown that the present results have some relation: i) to the failure of the Bethe-Salpeter equation in reproducing the Dirac or Klein-Gordon equations in the limit where one of the constituent has a large mass, ii) to the absence of corrections of relative order alpha log(1/alpha) to a full calculation of the binding energy in the case of neutral massless bosons or iii) to large corrections of wave-functions calculated perturbatively in some light-front approaches.
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"abstract": "It is shown that field-theory based single boson exchange potentials cannot\nbe identified to those of the Yukawa or Coulomb type that are currently\ninserted in the Schr\\\"odinger equation. The potential which is obtained rather\ncorresponds to this current single boson exchange potential corrected for the\nprobability that the system under consideration is in a two-body component,\ntherefore missing contributions due to the interaction of these two bodies\nwhile bosons are exchanged. The role of these contributions, which involve at\nleast two boson exchanges, is examined. The conditions that allow one to\nrecover the usual single boson exchange potential are given. It is shown that\nthe present results have some relation: i) to the failure of the Bethe-Salpeter\nequation in reproducing the Dirac or Klein-Gordon equations in the limit where\none of the constituent has a large mass, ii) to the absence of corrections of\nrelative order alpha log(1/alpha) to a full calculation of the binding energy\nin the case of neutral massless bosons or iii) to large corrections of\nwave-functions calculated perturbatively in some light-front approaches.",
"arxiv_id": "nucl-th/9910001",
"authors": [
"A. Amghar",
"B. Desplanques"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s006010070025",
"journal_ref": "Few Body Syst. 28 (2000) 65-101",
"title": "Relationship of field-theory based single boson exchange potentials to current ones",
"url": "https://arxiv.org/abs/nucl-th/9910001"
},
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