Nucleons or diquarks: Competition between clustering and color superconductivity in quark matter
Abstract
We study the instabilities of quark matter in the framework of a generalized NambuJonaLasinio model, in order to explore possible competition between threequark clustering to form nucleons and diquark formation leading to color superconductivity. Nucleon and Δ solutions are obtained for the relativistic Faddeev equation at finite density and their binding energies are compared with those for the scalar and axialvector diquarks found from the BetheSalpeter 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.
 Publication:

Physical Review C
 Pub Date:
 May 2000
 DOI:
 10.1103/PhysRevC.61.055209
 arXiv:
 arXiv:hepph/9912475
 Bibcode:
 2000PhRvC..61e5209P
 Keywords:

 24.85.+p;
 11.80.Jy;
 12.38.Mh;
 12.39.Ki;
 Quarks gluons and QCD in nuclei and nuclear processes;
 Manybody scattering and Faddeev equation;
 Quarkgluon plasma;
 Relativistic quark model;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 23 pages (RevTeX), 5 figures (epsf)