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Diquark Bose Condensates in High Density Matter and Instantons

R. Rapp, T. Schaefer, E. V. Shuryak, M. Velkovsky

Abstract

Instantons lead to strong correlations between up and down quarks with spin zero and anti-symmetric color wave functions. In cold and dense matter, $n_b>n_c\simeq 1 fm^{-3}$ and $T<T_c\sim$ 50 MeV, these pairs Bose-condense, replacing the usual $< \bar qq >$ condensate and restoring chiral symmetry. At high density, the ground state is a color superconductor in which diquarks play the role of Cooper pairs. An interesting toy model is provided by QCD with two colors: it has a particle-anti-particle symmetry which relates $<\bar qq>$ and $< qq>$ condensates.

Diquark Bose Condensates in High Density Matter and Instantons

Abstract

Instantons lead to strong correlations between up and down quarks with spin zero and anti-symmetric color wave functions. In cold and dense matter, and 50 MeV, these pairs Bose-condense, replacing the usual condensate and restoring chiral symmetry. At high density, the ground state is a color superconductor in which diquarks play the role of Cooper pairs. An interesting toy model is provided by QCD with two colors: it has a particle-anti-particle symmetry which relates and condensates.

Paper Structure

This paper contains 8 equations, 2 figures.

Figures (2)

  • Figure 1: Energy per baryon (in MeV) versus baryon charge density $n_b$ (fm$^{-3}$).
  • Figure 2: The gap $\Delta(\mu,T$=0) for $\mu_c$=0.4, 0.5 GeV (dashed and full line, respectively) and critical temperature $T_c$ (dash-dotted line, $\mu_c$=0.5 GeV) versus baryon charge density $n_b$.