dorsal/arxiv
View SchemaHigher Order Processes in Electromagnetic Production of Electron Positron Pairs in Relativistic Heavy Ion Collisions
| Authors | Kai Hencken, Dirk Trautmann, Gerhard Baur |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9408009 |
| URL | https://arxiv.org/abs/nucl-th/9408009 |
| DOI | 10.1103/PhysRevA.51.998 |
| Journal | Phys.Rev. A51 (1995) 998-1014 |
Abstract
We study higher-order effects in the electromagnetic production of electron-positron pairs in relativistic heavy ion collisions. Treating the field of the heavy ions as an external field and neglecting the interaction among electrons and positrons, we show that the $N$-pair creation amplitude is the antisymmetrised product of $N$ one-pair creation amplitudes and the vacuum amplitude. Neglecting contributions coming from exchange terms, we show that the total probability for $N$ pairs is approximately a Poisson distribution. We investigate further the structure of the reduced one-pair amplitude, concentrating especially on multiple-particle corrections. We calculate the first of these corrections in second order Magnus theory based on our previous result in second-order Born approximation for impact parameter $b$ zero. Explicit calculations show that the total probability is increased up to 10 \% by this correction for realistic collider parameters. The calculations can also be used to confirm the use of the Poisson distribution for the total probability.
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"abstract": "We study higher-order effects in the electromagnetic production of\nelectron-positron pairs in relativistic heavy ion collisions. Treating the\nfield of the heavy ions as an external field and neglecting the interaction\namong electrons and positrons, we show that the $N$-pair creation amplitude is\nthe antisymmetrised product of $N$ one-pair creation amplitudes and the vacuum\namplitude. Neglecting contributions coming from exchange terms, we show that\nthe total probability for $N$ pairs is approximately a Poisson distribution. We\ninvestigate further the structure of the reduced one-pair amplitude,\nconcentrating especially on multiple-particle corrections. We calculate the\nfirst of these corrections in second order Magnus theory based on our previous\nresult in second-order Born approximation for impact parameter $b$ zero.\nExplicit calculations show that the total probability is increased up to 10 \\%\nby this correction for realistic collider parameters. The calculations can also\nbe used to confirm the use of the Poisson distribution for the total\nprobability.",
"arxiv_id": "nucl-th/9408009",
"authors": [
"Kai Hencken",
"Dirk Trautmann",
"Gerhard Baur"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevA.51.998",
"journal_ref": "Phys.Rev. A51 (1995) 998-1014",
"title": "Higher Order Processes in Electromagnetic Production of Electron Positron Pairs in Relativistic Heavy Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9408009"
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