A power-law description of heavy ion collision centrality

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dc.creatorTrainor, Thomas A.
dc.creatorPrindle, Duncan J.
dc.date2004-11-17
dc.date2007-01-30
dc.date.accessioned2026-07-07T07:43:31Z
dc.date.available2026-07-07T07:43:31Z
dc.descriptionThe minimum-bias distribution on heavy ion collision multiplicity $n_{ch}$ is well approximated by power-law form $n_{ch}^{-3/4}$, suggesting that a change of variable to $n_{ch}^{1/4}$ may provide more precise access to the structure of the distribution and to A-A collision centrality. We present a detailed centrality study of Hijing-1.37 Monte Carlo data at 200 GeV using the power-law format. We find that the minimum-bias distribution on $n_{participant}^{1/4}$, determined with a Glauber Monte Carlo simulation, is uniform except for a 5% sinusoidal variation. The power-law format reveals precise linear relations between Glauber parameters $n_{part}$ and $n_{bin}$ and the fractional cross section. The power-law format applied to RHIC data facilitates incorporation of extrapolation constraints on data and Glauber distributions to obtain a ten-fold improvement in centrality accuracy for peripheral collisions.
dc.description21 pages, 18 figures, extensive rewrite, with addition of appendices on numerical integration and systematic errors in participant number calculations
dc.identifierhttps://arxiv.org/abs/hep-ph/0411217
dc.identifierhttp://arxiv.org/abs/hep-ph/0411217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122854
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA power-law description of heavy ion collision centrality
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