Diquark Bose-Einstein condensation

Journal Article · Tue Aug 01 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.034017· OSTI ID:20869249

Nawa, K; Nakano, E; Yabu, H ^[1]

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1. Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)

Bose-Einstein condensation of composite diquarks in quark matter (the color superconductor phase) is discussed using the quasichemical 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 framework, 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 the bound/resonant state. We obtained T{sub C}{approx}60-80 MeV for constituent quarks and T{sub C}{approx}130 MeV for current quarks at a moderate density ({rho}{sub b}{approx}3{rho}{sub 0}). The method is also developed to include interdiquark interactions into the quasichemical equilibrium theory within a mean-field approximation, and it is found that a possible repulsive diquark-diquark interaction lowers the transition temperature by {approx}50%.

• OSTI ID: 20869249
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTIPARTICLES
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
COLOR MODEL
DEGREES OF FREEDOM
DENSITY
EQUILIBRIUM
FLUCTUATIONS
MANY-BODY PROBLEM
MEAN-FIELD THEORY
MEV RANGE
PAIR PRODUCTION
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUARK MATTER
QUARKS
RELATIVISTIC RANGE
SUPERCONDUCTIVITY
SUPERCONDUCTORS
TRANSITION TEMPERATURE