We investigate and compare two field theoretical formalisms, namely, the former state-of-the-art but noncovariant Ruckl formula-based formalism developed by K. Haglin and C. Gale, and a more recent covariant formalism developed by P. Lichard, for lepton pair production via soft virtual bremsstrahlung in hadronic reactions. A quantitative study of the discrepancy between both formalisms with regard to rates and total yields of $e sp{+}e sp{-}$ and $ mu sp{+} mu sp{-}$ pair production from radiative pion and quark (antiquark) scattering in ultrarelativistic heavy-ion collisions is made. Dilepton production rates are calculated using the independent particle approximation from kinetic theory, and total dilepton yields are obtained by integrating these rates over the space-time evolution of the heavy-ion collision as dictated by Bjorken's longitudinal hydrodynamic model. All rates and total yields of $e sp{+}e sp{-}$ and $ mu sp{+} mu sp{-}$ pair production with invariant masses less than 300 MeV turn out to be overestimated in the Ruckl formula-based formalism.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.23428 |
| Date | January 1995 |
| Creators | Tabti, Rahma |
| Contributors | Gale, Charles (advisor) |
| Publisher | McGill University |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Format | application/pdf |
| Coverage | Master of Science (Department of Physics.) |
| Rights | All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated. |
| Relation | alephsysno: 001486069, proquestno: MM12278, Theses scanned by UMI/ProQuest. |
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