dorsal/arxiv
View SchemaAnnihilation Mechanisms of Lepton Pair Production in Relativistic Nuclear Collisions
| Authors | Dmitry Anchishkin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612067 |
| URL | https://arxiv.org/abs/nucl-th/0612067 |
| DOI | 10.1556/APH.27.2006.4.3 |
Abstract
The pion and quark annihilation mechanisms of dilepton production during relativistic nuclear collisions are studied. We focus on the modifications caused by the specific features of in-medium pion and quark 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 total 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 lepton pair 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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"abstract": "The pion and quark annihilation mechanisms of dilepton production during\nrelativistic nuclear collisions are studied. We focus on the modifications\ncaused by the specific features of in-medium pion and quark states rather than\nby medium modification of the $\\rho $-meson spectral density. The main\ningredient emerging in our approach is a form-factor of the multi-pion\n(multi-quark) system. Replacing the usual delta-function the form-factor plays\nthe role of distribution which, in some sense, \"connects\" the total 4-momenta\nof the annihilating and outgoing particles. The difference between the c.m.s.\nvelocities attributed to annihilating and outgoing particles is a particular\nconsequence of this replacement and results in the appearance of a new factor\nin the formula for the lepton pair production rate. We obtained that the\nform-factor of the multi-pion (multi-quark) system causes broadening of the\nrate which is most pronounced for small invariant masses, in particular, we\nobtain a growth of the rate for the invariant masses below two masses of the\nannihilating particles.",
"arxiv_id": "nucl-th/0612067",
"authors": [
"Dmitry Anchishkin"
],
"categories": [
"nucl-th"
],
"doi": "10.1556/APH.27.2006.4.3",
"title": "Annihilation Mechanisms of Lepton Pair Production in Relativistic Nuclear Collisions",
"url": "https://arxiv.org/abs/nucl-th/0612067"
},
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