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Perspectives of Nuclear Physics in Europe - European Science ...

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can be described with statistical hadronisation models<br />

us<strong>in</strong>g only two global parameters: the chemical freezeout<br />

temperature and the baryon-chemical potential.<br />

While this observation is strik<strong>in</strong>g, it is only necessary but<br />

not sufficient evidence for the thermal orig<strong>in</strong> <strong>of</strong> particle<br />

production. However, the <strong>in</strong>dication <strong>of</strong> early equilibration<br />

from elliptic flow measurements makes a thermal<br />

description the most plausible one, <strong>in</strong> particular at high<br />

energies beyond SPS. However, measured yields at<br />

lower energies are also consistent with a thermal picture.<br />

The thermal freeze-out parameters obta<strong>in</strong>ed from<br />

statistical model fits to data at different energies are<br />

shown <strong>in</strong> Figure 3. All data po<strong>in</strong>ts approximately follow a<br />

curve (solid l<strong>in</strong>e) correspond<strong>in</strong>g to a value <strong>of</strong> the energy<br />

per particle <strong>in</strong> the system <strong>of</strong> about 1 GeV. In addition,<br />

the chemical freeze-out temperatures, for values <strong>of</strong> the<br />

baryon-chemical potential < 400 MeV, agree well with<br />

the phase boundary predicted by LQCD. This observation<br />

suggests that the particles detected <strong>in</strong> heavy ion<br />

collisions at high energies orig<strong>in</strong>ate from the hadronis<strong>in</strong>g<br />

QGP. At centre-<strong>of</strong>-mass energies near 10 GeV, where<br />

the freeze-out approximately decouples from the LQCD<br />

transition l<strong>in</strong>e, <strong>in</strong>terest<strong>in</strong>g properties <strong>of</strong> different observables<br />

have been found.<br />

Similarly, pronounced maxima are observed <strong>in</strong> the<br />

<strong>in</strong>dividual yield ratios <strong>of</strong> K + /π + , Λ/π and Ξ/π. In addition,<br />

data show that near this energy the volume obta<strong>in</strong>ed<br />

from Hanbury-Brown and Twiss correlations exhibits a<br />

m<strong>in</strong>imum and the system passes from baryon to meson<br />

dom<strong>in</strong>ance.<br />

Recently, it was conjectured that the above features<br />

<strong>of</strong> hadron production observed <strong>in</strong> nuclear collisions can<br />

be expla<strong>in</strong>ed by the existence <strong>of</strong> three forms <strong>of</strong> matter:<br />

Hadronic Matter, Quarkyonic Matter and a Quark-Gluon<br />

Plasma which meet at a ‘triple po<strong>in</strong>t’ <strong>in</strong> the QCD phase<br />

diagram located at the centre-<strong>of</strong>-mass energy near<br />

10 GeV.<br />

Figure 4 shows the excitation function <strong>of</strong> the ratio<br />

<strong>of</strong> strange to non-strange hadrons, as a function <strong>of</strong><br />

centre-<strong>of</strong>-mass energy. This excitation function shows<br />

a maximum around 10 GeV.<br />

Hadron spectra – Hadron spectra provide complementary<br />

<strong>in</strong>formation on the medium evolution. The<br />

shape <strong>of</strong> the spectra <strong>of</strong> most hadrons at low transverse<br />

momentum is consistent with thermal emission <strong>of</strong> a<br />

collectively expand<strong>in</strong>g source. While the shape alone<br />

does not demand a thermal description, the evidence<br />

from elliptic flow and the consistency with the hadron<br />

abundances make an <strong>in</strong>terpretation <strong>of</strong> spectra <strong>in</strong> terms<br />

<strong>of</strong> models <strong>in</strong>spired by hydrodynamics mean<strong>in</strong>gful.<br />

The particle yield as a function <strong>of</strong> transverse momentum<br />

reveals the properties <strong>of</strong> the system at the k<strong>in</strong>etic<br />

freeze-out, where <strong>in</strong>teractions <strong>of</strong> hadrons cease. In the<br />

simplified version <strong>of</strong> such models hadron spectra can be<br />

Figure 3. Value <strong>of</strong> temperature and baryon chemical potential<br />

obta<strong>in</strong>ed from statistical model fits to yields <strong>of</strong> different hadrons<br />

produced <strong>in</strong> heavy ion collisions over a broad span <strong>of</strong> beam<br />

energies. Note that for low baryon chemical potential values<br />

the experimental values are close to the phase transition region<br />

predicted by Lattice QCD.<br />

Figure 4. Energy dependence <strong>of</strong> the strangeness to entropy<br />

ratio quantified by measured yields <strong>of</strong> all strange to non-strange<br />

hadrons <strong>in</strong> heavy ion collisions. (Courtesy <strong>of</strong> A. Andronic et al.)<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 85

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