Abstract

Constructing a colour-singlet partition function for a finite-size deformable bag, the thermodynamic properties of quarks (two flavours) and gluons are studied with the chemical potential μ ≠ 0 under the constraint that the baryon number b = 1. The transition temperature, T S, in the large volume limit as well as the critical temperature, T C > T S, beyond which hadrons cease to exist, are both found to decrease with the increase of deformation considering a spheroidal shape. The difference T C − T S ⋍ 20 MeV , which arises mainly due to the restriction to the colour singlet states, remains more or less deformation independent. Thus, a region of superheated (supercooled) metastable states in the temperature range T S < T < T C in the μ- T plane exists even for determined hadrons with somewhat reduced values of T S and T C .

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