Monte Carlo Calculations of LeptonPair Production in Relativistic HeavyIon Collisions
Abstract
The main goal of the Relativistic HeavyIon Collider (RHIC) is to create a socalled quarkgluon plasma and to study the physics associated with it. It is expected that ultrarelativistic heavyions can provide this form of matter in the central, or nearcentral collisions. In these central collisions, thermodynamic conditions are sufficient enough to deconfine the constituent quarks and gluons of baryons and mesons in a shortlived plasma state. Lepton pairs especially electron and muonpair production from hadronic interactions can help us to understand the formation and the decay of the quarkgluon plasma phase of matter. Here we study the electromagnetic lepton pair production from heavyion fields by using perturbative methods. We start with quantumfield theory deriving a classicalfield method based on Feynman perturbation theory. Our derivation based on the limit that the momentum transfer of the photons is much smaller than the momentum carried by the nuclei which is basically true for the coherent production of particles through twophoton processes in relativistic heavyion collisions. These lowestorder Feynman diagrams have been evaluated exactly using Monte Carlo and analytical techniques and predict cross sections consistent with experiments. In this present work, we also generalize the Monte Carlo methods in order to calculate the impactparameter dependence of the twophoton diagrams which has implications for the description of the electromagnetic background for hadronic interactions, the study of strongfield effect(e.g., pair multiplicities), and the study of the validity of the equivalentphoton approximation.
 Publication:

Ph.D. Thesis
 Pub Date:
 January 1995
 Bibcode:
 1995PhDT.......127G
 Keywords:

 QUARK GLUON PLASMA;
 Physics: Nuclear; Physics: Atomic; Physics: Elementary Particles and High Energy