Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter

Abstract

The spectrum of meson and diquark excitations of dense cold quark matter is investigated in the framework of a Nambu--Jona-Lasinio type model for light quarks of two flavors. It was found out that a first order phase transition occurs when the chemical potential $\mu$ exceeds the critical value ${\mu }_c=350$ MeV. Above ${\mu }_c$, the diquark condensate $\vev{qq}$ forms, breaking the color symmetry of strong interaction. The masses of $\pi$- and $\sigma$-mesons are shown to grow with the chemical potential $\mu$ in the color-superconducting phase, but the mesons themselves become almost stable particles due to the Mott effect. Moreover, we have found in this phase an abnormal number of three, instead of five, Nambu--Goldstone bosons, together with a color doublet of light stable diquark modes and a color-singlet heavy diquark resonance with the mass $\sim$ 1100 MeV. In the color symmetric phase, \textit{i.e.} for $\mu <{\mu }_c$, the splitting between the masses of diquarks and antidiquarks is shown to arise if $\mu \ne 0$, contrary to the case of vanishing chemical potential, $\mu =0$, where the mass spectrum of antidiquarks and diquarks is degenerate at the value $\sim$ 700 MeV.

16 pages, 4 figures

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Cited by in corpus (27)

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• Pion condensation in quark matter with finite baryon density
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• Counting Rules of Nambu-Goldstone Modes
• Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
• Transition form factors of the N*(1535) as a dynamically generated resonance
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• Pion condensation of quark matter in the static Einstein universe
• High density quark matter in the NJL model with dimensional vs. cut-off regularization
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Manifestation of Instabilities in Nambu-Jona-Lasinio type models
• Mass spectrum of diquarks and mesons in the color--flavor locked phase of dense quark matter
• BCS-BEC crossover in relativistic Fermi systems
• Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
• Mesons and diquarks in neutral color superconducting quark matter with $\beta$-equilibrium
• Diquarks in the color--flavor locked phase of dense quark matter
• Bound States and Superconductivity in Dense Fermi Systems
• Optimized perturbation theory applied to the study of the thermodynamics and BEC-BCS crossover in the three-color Nambu--Jona-Lasinio model
• Quark Potential in a Quark-Meson Plasma
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Baryons in the Nambu Jona-Lasinio models
• Mesons and diquarks in a color superconducting regime