2005/12/01 by M. J. Tannenbaum, Tannenbaum, M. J.
Engineering · Health Professions · Mathematics · Physics and Astronomy · #Combinatorics #Event (particle physics) #FOS: Physical sciences #Geometry #High-Energy Particle Collisions Research #Inverse #Materials science #Mathematics #Nuclear Experiment (nucl-ex) #Nuclear reactor physics and engineering #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Radioactivity and Radon Measurements #Range (aeronautics) #Standard deviation #Statistics #Thermodynamics #nucl-ex
paper · pdf · doi:10.48550/arxiv.nucl-ex/0512004
8 pages, 5 figures. To appear in the Quark Matter 2005 Poster Proceedings in Nukleonika
arxiv created 2005/12/01 · openalex publication_date 2005/12/01 · arxiv updated 2019/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A simple way to visualize event-by-event average pT fluctuations is by\nassuming that each collision has a different temperature parameter (inverse\npT slope) and that the ensemble of events has a temperature distribution\nabout the mean, <T>, with standard deviation \σT. PHENIX characterizes\nthe non-random fluctuation of MpT, the event-by-event average pT, by\nFpT, the fractional difference of the standard deviation of the data from\nthat of a random sample obtained with mixed events. This can be related to the\ntemperature fluctuation:\n \FpT=
sigma
rm data_MpT/
sigma
rm\nrandom_MpT-1
simeq(lt; n gt; -1)
sigma2T/lt; Tgt;2 n Combining this with the Gavai, it et al., citeGavai05 and Korus, it et\nal., citeKorus definitions of the specific heat per particle, a simple\nrelationship is obtained:\n \cv/T3=
meann
over
meanNtot 1
over FpT n FpT is measured with a fraction meann/ meanNtot of the total\nparticles produced, a purely geometrical factor representing the fractional\nacceptance, \∼ 1/33 in PHENIX. Gavai, it et al. predict that\ncv/T3=15, which corresponds to FpT\∼ 0.20% in PHENIX, which may be\naccessible by measurements of MpT in the range 0.2\≤ pT\≤ 0.6\nGeV/c. In order to test the Gavai, it et al. prediction that cv/T3 is\nreduced in a QGP compared to the ideal gas value (15 compared to 21), precision\nmeasurements of FpT in the range 0.20% for 0.2\≤ pT\≤ 0.6 GeV/c\nmay be practical.\n