dorsal/arxiv
View SchemaRelativistic three-particle scattering equations
| Authors | Sadhan K. Adhikari, Lauro Tomio, T. Frederico |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9306009 |
| URL | https://arxiv.org/abs/nucl-th/9306009 |
| DOI | 10.1103/PhysRevC.48.2105 |
| Journal | Phys.Rev.C48:2105-2107,1993 |
Abstract
We derive a set of relativistic three-particle scattering equations in the three-particle c.m. frame employing a relativistic three-particle propagator suggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle subsystem. We make the coordinate transformation of this propagator from the c.m. frame of the two-particle subsystem to the three-particle c.m. frame. We also point out that some numerical applications of the Ahmadzadeh and Tjon propagator to the three-nucleon problem use unnecessary nonrelativistic approximations which do not simplify the computational task, but violate constraints of relativistic unitarity and/or covariance.
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"abstract": "We derive a set of relativistic three-particle scattering equations in the\nthree-particle c.m. frame employing a relativistic three-particle propagator\nsuggested long ago by Ahmadzadeh and Tjon in the c.m. frame of a two-particle\nsubsystem. We make the coordinate transformation of this propagator from the\nc.m. frame of the two-particle subsystem to the three-particle c.m. frame. We\nalso point out that some numerical applications of the Ahmadzadeh and Tjon\npropagator to the three-nucleon problem use unnecessary nonrelativistic\napproximations which do not simplify the computational task, but violate\nconstraints of relativistic unitarity and/or covariance.",
"arxiv_id": "nucl-th/9306009",
"authors": [
"Sadhan K. Adhikari",
"Lauro Tomio",
"T. Frederico"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.48.2105",
"journal_ref": "Phys.Rev.C48:2105-2107,1993",
"title": "Relativistic three-particle scattering equations",
"url": "https://arxiv.org/abs/nucl-th/9306009"
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