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

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 {mu}- and color {mu}{sub 8}-chemical potential. It was found that, in the color superconducting (2SC) phase, i.e. at {mu}>{mu}{sub c}=342 MeV, {mu}{sub 8} acquires rather small values {approx}10 MeV in order to ensure the color neutrality. In this phase the {pi} and {sigma} meson masses are evaluated around {approx}330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy [SU{sub c}(2)-singlet] resonance with mass {approx}1100 MeV, four light diquarks with mass 3|{mu}{sub 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 pseudoscalar diquarks. In the color symmetric phase, i.e. for {mu}<{mu}{sub 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 {approx}700 MeV. If the coupling strength in the pseudoscalar diquark channel is the same as in themore » 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.« less

Authors:
; ;  [1]
  1. Institut fuer Physik, Humboldt-Universitaet zu Berlin, 12489 Berlin (Germany)
Publication Date:
OSTI Identifier:
20711501
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.72.056007; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COLOR MODEL; COUPLING; EXCITATION; GOLDSTONE BOSONS; MEV RANGE; PIONS; POTENTIALS; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; RESONANCE PARTICLES; REST MASS; SCALARS; SU-2 GROUPS

Citation Formats

Ebert, D, Klimenko, K G, Yudichev, V L, Institute of High Energy Physics, 142281, Protvino, Moscow Region, and Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region. Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.056007.
Ebert, D, Klimenko, K G, Yudichev, V L, Institute of High Energy Physics, 142281, Protvino, Moscow Region, & Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region. Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter. United States. https://doi.org/10.1103/PhysRevD.72.056007
Ebert, D, Klimenko, K G, Yudichev, V L, Institute of High Energy Physics, 142281, Protvino, Moscow Region, and Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region. Thu . "Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter". United States. https://doi.org/10.1103/PhysRevD.72.056007.
@article{osti_20711501,
title = {Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter},
author = {Ebert, D and Klimenko, K G and Yudichev, V L and Institute of High Energy Physics, 142281, Protvino, Moscow Region and Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region},
abstractNote = {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 {mu}- and color {mu}{sub 8}-chemical potential. It was found that, in the color superconducting (2SC) phase, i.e. at {mu}>{mu}{sub c}=342 MeV, {mu}{sub 8} acquires rather small values {approx}10 MeV in order to ensure the color neutrality. In this phase the {pi} and {sigma} meson masses are evaluated around {approx}330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy [SU{sub c}(2)-singlet] resonance with mass {approx}1100 MeV, four light diquarks with mass 3|{mu}{sub 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 pseudoscalar diquarks. In the color symmetric phase, i.e. for {mu}<{mu}{sub 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 {approx}700 MeV. 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.},
doi = {10.1103/PhysRevD.72.056007},
url = {https://www.osti.gov/biblio/20711501}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 5,
volume = 72,
place = {United States},
year = {2005},
month = {9}
}