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

D. Ebert, K. G. Klimenko, and V. L. Yudichev
Phys. Rev. D 72, 056007 – Published 29 September 2005

Abstract

The spectrum of meson and diquark excitations of dense color neutral cold quark matter is investigated in the framework of a two-flavored Nambu–Jona-Lasinio–type model, including a quark μ- and color μ8-chemical potential. It was found that, in the color superconducting (2SC) phase, i.e. at μ>μc=342MeV, μ8 acquires rather small values 10MeV in order to ensure the color neutrality. In this phase the π and σ meson masses are evaluated around 330MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy [SUc(2)-singlet] resonance with mass 1100MeV, four light diquarks with mass 3|μ8|, 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 pseudoscalar diquarks. In the color symmetric phase, i.e. for μ<μc, a mass splitting of scalar diquarks and antidiquarks is shown to arise if μ0, contrary to the case of μ=0, where the masses of scalar antidiquarks and diquarks are degenerate at the value 700MeV. If the coupling strength in the pseudoscalar diquark channel is the same as in the scalar diquark one (as for QCD-inspired Nambu–Jona-Lasinio models), then in the color symmetric phase pseudoscalar diquarks are not allowed to exist as stable particles.

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  • Received 5 May 2005

DOI:https://doi.org/10.1103/PhysRevD.72.056007

©2005 American Physical Society

Authors & Affiliations

D. Ebert*

  • Institut für Physik, Humboldt-Universität zu Berlin, 12489 Berlin, Germany

K. G. Klimenko

  • Institute of High Energy Physics, 142281, Protvino, Moscow Region, Russia

V. L. Yudichev

  • Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia

  • *Electronic address: debert@physik.hu-berlin.de
  • Electronic address: kklim@ihep.ru
  • Electronic address: yudichev@thsun1.jinr.ru

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Issue

Vol. 72, Iss. 5 — 1 September 2005

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