Pion and Quark Annihilation Mechanisms of Dilepton Production in Relativistic Heavy-Ion Collisions

Details Pion and Quark Annihilation Mechanisms of Dilepton Production in Relativistic Heavy-Ion Collisions Pion and Quark Annihilation Mechanisms of Dilepton Production in Relativistic Heavy-Ion Collisions

2005-07-27

arxiv.org/abs/hep-ph/0507316v1

Mod.Phys.Lett. A20 (2005) 2047

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 6 figures, LaTex; to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732305018311

We revise the pion-pion and quark-quark annihilation mechanisms of dilepton production during relativistic heavy-ion collisions. We focus on the modifications caused by the specific features of intramedium pion states rather than by medium modification of the rho-meson spectral density. The main ingredient emerging in our approach is a form-factor of the multi-pion (multi-quark) system. Replacing the usual delta-function the form-factor plays the role of distribution which, in some sense, "connects" the 4-momenta of the annihilating and outgoing particles. The difference between the c.m.s. velocities attributed to annihilating and outgoing particles is a particular consequence of this replacement and results in the appearance of a new factor in the formula for the dilepton production rate. We obtained that the form-factor of the multi-pion (multi-quark) system causes broadening of the rate which is most pronounced for small invariant masses, in particular, we obtain a growth of the rate for the invariant masses below two masses of the annihilating particles.

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