dorsal/arxiv
View SchemaRelativistic three-particle dynamical equations: I. Theoretical development
| Authors | Sadhan K. Adhikari, T. Frederico, Lauro Tomio |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9311035 |
| URL | https://arxiv.org/abs/nucl-th/9311035 |
| DOI | 10.1006/aphy.1994.1091 |
| Journal | Annals Phys. 235 (1994) 77-102 |
Abstract
Starting from the two-particle Bethe-Salpeter equation in the ladder approximation and integrating over the time component of momentum, we rederive three dimensional scattering integral equations satisfying constraints of relativistic unitarity and covariance, first derived by Weinberg and by Blankenbecler and Sugar. These two-particle equations are shown to be related by a transformation of variables. Hence we show how to perform and relate identical dynamical calculation using these two equations. Similarly, starting from the Bethe-Salpeter-Faddeev equation for the three-particle system and integrating over the time component of momentum, we derive several three dimensional three-particle scattering equations satisfying constraints of relativistic unitarity and covariance. We relate two of these three-particle equations by a transformation of variables as in the two-particle case. The three-particle equations we derive are very practical and suitable for performing relativistic scattering calculations.
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"abstract": "Starting from the two-particle Bethe-Salpeter equation in the ladder\napproximation and integrating over the time component of momentum, we rederive\nthree dimensional scattering integral equations satisfying constraints of\nrelativistic unitarity and covariance, first derived by Weinberg and by\nBlankenbecler and Sugar. These two-particle equations are shown to be related\nby a transformation of variables. Hence we show how to perform and relate\nidentical dynamical calculation using these two equations. Similarly, starting\nfrom the Bethe-Salpeter-Faddeev equation for the three-particle system and\nintegrating over the time component of momentum, we derive several three\ndimensional three-particle scattering equations satisfying constraints of\nrelativistic unitarity and covariance. We relate two of these three-particle\nequations by a transformation of variables as in the two-particle case. The\nthree-particle equations we derive are very practical and suitable for\nperforming relativistic scattering calculations.",
"arxiv_id": "nucl-th/9311035",
"authors": [
"Sadhan K. Adhikari",
"T. Frederico",
"Lauro Tomio"
],
"categories": [
"nucl-th"
],
"doi": "10.1006/aphy.1994.1091",
"journal_ref": "Annals Phys. 235 (1994) 77-102",
"title": "Relativistic three-particle dynamical equations: I. Theoretical development",
"url": "https://arxiv.org/abs/nucl-th/9311035"
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