How to measure specific heat using event-by-event average pT fluctuations

• Autorzy: Tannenbaum M.
• Konferencja: Proceedings of the 18th International conference on Nucleus-Nucleus Collisions QUARK MATTER 2005, 4-9 August, 2005, Budapest, Hungary
• Języki publikacji: EN

Abstrakty

EN

A simple way to visualize event-by-event average pT fluctuations is by assuming that each collision has a different temperature parameter (inverse pT slope) and that the ensemble of events has a temperature distribution about the mean, less than T greater than , with standard deviation sigmaT. PHENIX characterizes the non-random fluctuation of MpT, the event-by-event average pT, by FpT, the fractional difference of the standard deviation of the data from that of a random sample obtained with mixed events. This can be related to the temperature fluctuation: FpT = sigmaMpTdata/sigmaMpTrandom - 1 ~ (less than eta greated than-1)sigmaT 2/ less thanT greated than 2. Combining this with the Gavai et al. [5] and Korus et al. [6] definitions of the specific heat per particle, a simple relationship is obtained: cv/T3 = less than eta greated than/less than Ntot greated than )Ĺ(1/FpT). FpT is measured with a fraction less than eta greated than)Ntot* of the total particles produced, a purely geometrical factor representing the fractional acceptance, ~1/33 in PHENIX. Gavai et al. [5] predict that cv/T3 = 15, which corresponds to FpT ~ 0.20% in PHENIX, which may be accessible by measurements of MpT in the range 0.2 d pT d 0.6 GeV/c. In order to test the Gavai et al. prediction that cv/T3 is reduced in a QGP compared to the ideal gas value (15 compared to 21), precision measurements of FpT in the range 0.20% for 0.2 less-than or equal to pT greater-than or equal to 0.6 GeV/c may be practical.

Słowa kluczowe

EN

relativistic heavy-ion collisions; event-by-event fluctuations; specific heat; particle correlations

• Wydawca: Institute of Nuclear Chemistry and Technology
• Czasopismo: Nukleonika
• Rocznik: 2006
• Tom: Vol. 51,suppl.3
• Strony: 93--97
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Tannenbaum M.

• Brookhaven National Laboratory, Upton, NY 11973-5000, USA, Tel.: [phone], Fax: [phone],

Bibliografia

• 1. Adler SS et al. (PHENIX Collaboration) (2004) Identified charged particle spectra and yields in Au+Au collisions at square root(sNN) = 200 GeV. Phys Rev C 69:034909
• 2. Adler SS et al. (PHENIX Collaboration) (2004)Measurement of nonrandom event-by-event fluctuationsof average transverse momentum in square root(sNN) = 200 Au+Au and p+p collisions. Phys Rev Lett 93 :092301
• 3. Back BB et al. (PHOBOS Collaboration) (2005) The PHOBOS perspective on discoveries at RHIC. Nucl Phys A 757:28–101
• 4. Ferreiro EG, del Moral F, Pajares C (2004) Transverse momentum fluctuations and percolation of strings. Phys Rev C 69:034901
• 5. Gavai RV, Gupta S, Mukherjee S (2005) The speed of sound and specific heat in the QCD plasma: hydrodynamics,fluctuations and conformal symmetry. Phys Rev D 71:074013
• 6. Korus R, Mrowczynski St, Rybczynski M, Wlodarczyk Z(2001) Transverse momentum fluctuations due to temperature variation in high-energy nuclear collisions.Phys Rev C 64:054908
• 7. Shuryak EV (1998) Event-by-event analysis of heavy ion collisions and thermodynamical fluctuations. Phys Lett B 423:9–14
• 8. Stephanov M, Rajagopal K, Shuryak E (1999) Event-byevent fluctuations in heavy ion collisions and the QCD critical point. Phys Rev D 60:114028
• 9. Stodolsky L (1995) Temperature fluctuations in multiparticle production. Phys Rev Lett 75:1044–1045