Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-09-04
Phys.Rev. D74 (2006) 034017
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 23 figures
Scientific paper
10.1103/PhysRevD.74.034017
Bose-Einstein condensation (BEC) of composite diquarks in quark matter (the color superconductor phase) is discussed using the quasi-chemical equilibrium theory at a relatively low density region near the deconfinement phase transition, where dynamical quark-pair fluctuations are assumed to be described as bosonic degrees of freedom (diquarks). A general formulation is given for the diquark formation and particle-antiparticle pair-creation processes in the relativistic flamework, and some interesting properties are shown, which are characteristic for the relativistic many-body system. Behaviors of transition temperature and phase diagram of the quark-diquark matter are generally presented in model parameter space, and their asymptotic behaviors are also discussed. As an application to the color superconductivity, the transition temperatures and the quark and diquark density profiles are calculated in case with constituent/current quarks, where the diquark is in bound/resonant state. We obtained $T_C \sim 60-80$ MeV for constituent quarks and $T_C \sim 130$ MeV for current quarks at a moderate density ($\rho_b \sim 3 \rho_0$). The method is also developed to include interdiquark interactions into the quasi-chemical equilibrium theory within a mean-field approximation, and it is found that a possible repulsive diquark-diquark interaction lowers the transition temperature by nearly 50%.
Nakano Eiichi
Nawa Kanabu
Yabu Hiroyuki
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