Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-11-18
Int.J.Mod.Phys. A18 (2003) 3189-3220
Physics
High Energy Physics
High Energy Physics - Phenomenology
27 pages, Int.J.Mod.Phys.A version
Scientific paper
10.1142/S0217751X03014034
We present an analytical description of the phase transitions from a nucleon gas to nuclear matter and from nuclear matter to quark matter within the same model. The equation of state for quark and nuclear matter is encoded in the effective potential of a linear sigma model. We exploit an exact differential equation for its dependence upon the chemical potential $\mu$ associated to conserved baryon number. An approximate solution for vanishing temperature is used to discuss possible phase transitions as the baryon density increases. For a nucleon gas and nuclear matter we find a substantial density enhancement as compared to quark models which neglect the confinement to baryons. The results point out that the latter models are not suitable to discuss the phase diagram at low temperature.
Berges Juergen
Jungnickel Dirk-Uwe
Wetterich Christof
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