Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-12-22
Phys.Rev. C61 (2000) 055209
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages (RevTeX), 5 figures (epsf)
Scientific paper
10.1103/PhysRevC.61.055209
We study the instabilities of quark matter in the framework of a generalized Nambu--Jona-Lasinio model, in order to explore possible competition between three-quark clustering to form nucleons and diquark formation leading to color superconductivity. Nucleon and $\Delta$ solutions are obtained for the relativistic Faddeev equation at finite density and their binding energies are compared with those for the scalar and axial-vector diquarks found from the Bethe-Salpeter equation. In a model with interactions in both scalar and axial diquark channels, bound nucleons exist up to nuclear matter density. However, except at densities below about a quarter of that of nuclear matter, we find that scalar diquark formation is energetically favored. This raises the question of whether a realistic phase diagram of baryonic matter can be obtained from any model which does not incorporate color confinement.
Birse Michael C.
McGovern Judith A.
Pepin Stephane
Walet Niels R.
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