QCD caloric curve

Author Tetyana Galatyuk

original version prepared for GSI/FAIR Joint Scientific Council 2015 
[CBM] Collaboration, Eur.Phys.J.A 53 (2017) 3, 60  
T. Galatyuk, Quark Matter 2018, https:indico.cern.ch/event/656452/contributions/2899684/  
[NA60+] Collaboration, EoI 
A. Tripolt, Quark Matter 2019, Nucl.Phys.A 1005 (2021) 121755

Measurements

LMR HADES Au-Au
sqrt s=2.42 GeV Ts=72+-2 MeV
HADES Collaboration, Nature Phys. 15 (2019) 10, 1040-1045

IMR NA60 In-In
sqrt s=17.3 GeV Ts=205+-12 MeV
H.J.Specht,Thermal Dileptons from Hot and Dense Strongly Interacting Matter", AIP Conf.Proc. 1322 (2010) 1, 1-10

Projections for CBM at SIS100 and NA60+ at SPS

CBM Au-Au
T. Galatyuk, “Future facilities for high mB physics,” Nucl. Phys. A982 (2019) 163
sqrt s=3.27 GeV Ts=136+-1.77 MeV
sqrt s=3.79 GeV Ts=145+-1.89 MeV
sqrt s=4.29 GeV Ts=154+-2 MeV
sqrt s=4.98 GeV Ts=159+-2.07 MeV

NA60+ Pb-Pb
G. Usai private communication 24 April 2018
sqrt s=6.3 GeV Ts=159+-2 MeV
sqrt s=8.8 GeV Ts=166+-3 MeV
sqrt s=17.3 GeV Ts=181+-6 MeV

Model calculations sqrt s > 6 GeV

R. Rapp and H.v. Hess, "Thermal Dileptons as Fireball Thermometer and Chronometer", Phys.Lett.B 753 (2016) 586-590

Initial temperature

sqrt s = 6.3 GeV Ti = 185+12-8 MeV
sqrt s = 8.8 GeV Ti = 198+15-10 MeV
sqrt s = 19.6 GeV Ti = 238+24-15 MeV
sqrt s = 62.4 GeV Ti = 291+33-21 MeV
sqrt s = 200 GeV Ti = 363+43-28 MeV

IMR Slope temperature

sqrt s = 6.3 GeV Ts = 163+5.9-4 MeV
sqrt s = 8.8 GeV Ts = 169.8+7.2-4.4 MeV
sqrt s = 19.6 GeV Ts = 189.4+11.8-6.7 MeV
sqrt s = 62.4 GeV Ts = 217.9+15.3-10.4 MeV
sqrt s = 200 GeV Ts = 255+16.9-12.5 MeV

Model calculations sqrt s < 6 GeV

T. Galatyuk, P. M. Hohler, R. Rapp, F. Seck, J. Stroth, "Thermal Dileptons from Coarse-Grained Transport as Fireball Probes at SIS Energies", Eur. Phys. J. A52 (5) (2016) 131

IMR Slope temperature

sqrt s = 2.1 GeV Ts = 43+-1.7 MeV
sqrt s = 2.4 GeV Ts = 84+-3.4 MeV
sqrt s = 3. GeV Ts = 130+-5.2 MeV
sqrt s = 6. GeV Ts = 164.5+-6.6 MeV