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Finite-size and dynamical effects in pair production by an external field

Finite-size and dynamical effects in pair production by an external field We evaluate the rate of pair production in a uniform electric field confined to a bounded region in space. Using the Balian-Bloch expansion of Green's functions we obtain explicit expressions for finite-size corrections to Schwinger's formula. The case of a time-dependent boundary, relevant to describe energy deposition by quark-antiquark pair production in ultrarelativistic collisions, is also investigated. We find that finite-size effects are important in nuclear collisions. They decrease when the strength of the chromoelectric field between the nuclei is large. As a result, the rate of energy deposition increases sharply with the mass number A of the colliding nuclei. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Finite-size and dynamical effects in pair production by an external field

Physical Review D , Volume 40 (5) – Sep 1, 1989
7 pages

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References (2)

Publisher
American Physical Society (APS)
Copyright
Copyright © 1989 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.40.1667
Publisher site
See Article on Publisher Site

Abstract

We evaluate the rate of pair production in a uniform electric field confined to a bounded region in space. Using the Balian-Bloch expansion of Green's functions we obtain explicit expressions for finite-size corrections to Schwinger's formula. The case of a time-dependent boundary, relevant to describe energy deposition by quark-antiquark pair production in ultrarelativistic collisions, is also investigated. We find that finite-size effects are important in nuclear collisions. They decrease when the strength of the chromoelectric field between the nuclei is large. As a result, the rate of energy deposition increases sharply with the mass number A of the colliding nuclei.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Sep 1, 1989

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