Masses of the pseudo Nambu-Goldstone bosons in the two flavor color superconducting phase

V. A. Miransky; I. A. Shovkovy; L. C. R. Wijewardhana

doi:10.1103/PhysRevD.64.096002

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Masses of the pseudo Nambu-Goldstone bosons in the two flavor color superconducting phase

V. A. Miransky, I. A. Shovkovy, L. C. R. Wijewardhana

DOI 10.1103/PhysRevD.64.096002 · Physical Review D

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Abstract

The masses of the pseudo Nambu-Goldstone bosons in the color superconducting phase of dense QCD with two light flavors are estimated by making use of the Cornwall-Jackiw-Tomboulis effective action. Parametrically, the masses of the doublet and antidoublet bosons are suppressed by a power of the coupling constant as compared to the value of the superconducting gap. This is qualitatively different from the mass expression for the singlet pseudo Nambu-Goldstone boson, resulting from nonperturbative effects. It is argued that the (anti) doublet pseudo Nambu-Goldstone bosons form colorless [with respect to the unbroken SU(2)c] charmoniumlike bound states. The corresponding binding energy is also estimated.