Deconfinement transition: a three dimensional model
W.M. Alberico1 - P. Czerski2 - M. Nardi3
1 Dipartimento di Fisica Teorica dell'Università di Torino and INFN, Sezione di
Torino via P.Giuria 1, 10125 Torino, Italy
2 Instytut Fizyki Jadrowej Kraków, Poland
3 Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany
Received: 10 June 1998 / Revised version: 24 September 1998 Communicated by F. Lenz
Abstract
We present a three-dimensional model for quark matter with a density dependent
quark-quark (confining) potential, which allows to describe a sort of deconfinement
transition as the system evolves from a low density assembly of bound structures to a high
density free Fermi gas of quarks. We consider different confining potentials, some of which
successfully utilized in hadron spectroscopy. We find that a proper treatment of the
many-body correlations induced by the medium is essential to disentangle the different nature
of the two (hadronic and deconfined) phases of the system. For this purpose the ground state
energy per particle and the pair correlation function are investigated.
PACS
24.85.+p Quarks, gluons, and QCD in nuclei and nuclear processes -
12.39.-x Phenomenological quark models -
12.39.Jh Nonrelativistic quark model -
12.38.Mh Quark-gluon plasma -
25.75.-q Relativistic heavy-ion collisions
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