Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter

Physics – High Energy Physics – High Energy Physics - Phenomenology

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18 pages, 4 figures; version accepted for the publication in PRD

Scientific paper

10.1103/PhysRevD.72.056007

The spectrum of meson and diquark excitations of dense color neutral cold quark matter is investigated in the framework of a 2-flavored Nambu--Jona-Lasinio type model, including a quark $\mu$- and color $\mu_8$ chemical potential. It was found out that in the color superconducting (2SC) phase, i.e. at $\mu>\mu_c=342$ MeV, $\mu_8$ aquires rather small values $\sim$ 10 MeV in order to ensure the color neutrality. In this phase the $\pi$- and $\sigma$ meson masses are evaluated around $\sim$ 330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy ($\rm SU_c(2)$-singlet) resonance with mass $\sim$ 1100 MeV, four light diquarks with mass $3|\mu_8|$, and one Nambu --Goldstone boson which is in accordance with the Goldstone theorem. Moreover, in the 2SC phase there are five light stable particles as well as a heavy resonance in the spectrum of pseudo-scalar diquarks. In the color symmetric phase, i.e. for $\mu <\mu_c$, a mass splitting of scalar diquarks and antidiquarks is shown to arise if $\mu\ne 0$, contrary to the case of $\mu = 0$, where the masses of scalar antidiquarks and diquarks are degenerate at the value $\sim$~700 MeV. If the coupling strength in the pseudo-scalar diquark channel is the same as in the scalar diquark one (as for QCD-inspired NJL models), then in the color symmetric phase pseudo-scalar diquarks are not allowed to exist as stable particles.

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