Diquark Bose-Einstein condensation

Abstract

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%.

21 pages, 23 figures

References in corpus (12)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Chromomagnetic instability in dense quark matter
• Screening masses in neutral two-flavor color superconductor
• BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
• Gluonic phase in neutral two-flavor dense QCD
• Neutral Larkin--Ovchinnikov--Fulde--Ferrell state and chromomagnetic instability in two-flavor dense QCD
• Pre-critical Phenomena of Two-flavor Color Superconductivity in Heated Quark Matter -- diquark-pair fluctuations and non-Fermi liquid behavior --
• Stable gapless superconductivity at strong coupling
• Atomic Bose-Fermi mixed condensates with Boson-Fermion quasi-bound cluster states
• Bose-Fermi mixed condensates of atomic gas with Boson-Fermion quasi-bound state

Cited by in corpus (13)

• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Cosmic structures via Bose Einstein condensation and its collapse
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Singular values of the Dirac operator in dense QCD-like theories
• Relativistic BCS-BEC crossover in a boson-fermion model
• Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
• Sigma meson in pole-dominated QCD sum rules
• Strongly interacting Fermi systems in 1/N expansion: From cold atoms to color superconductivity
• Kaon-condensed hypernuclei as highly dense self-bound objects
• Molecular formations in ultracold mixtures of interacting and noninteracting atomic gases