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TMF, 2007, Volume 150, Number 1, Pages 95–111 (Mi tmf5967)  

This article is cited in 10 scientific papers (total in 10 papers)

Mesons and diquarks in a dense quark medium with color superconductivity

K. G. Klimenkoa, D. Ebertb

a Institute for High Energy Physics
b Humboldt University

Abstract: In the framework of the Nambu–Jona-Lasinio model with two quark flavors, we investigate the spectrum of meson and diquark excitations of dense quark matter in the phase with color superconductivity. The color $SU_{\mathrm{c}}(3)$ symmetry is spontaneously broken to $SU_{\mathrm{c}}(2)$ in this phase. But instead of the expected five Goldstone bosons in the mass spectrum, we observe only three, among which two bosons obey the quadratic dispersion law. We find the doublet of light diquark states with the mass $\sim15$ MeV and also the heavy diquark resonance $(SU_{\mathrm{c}}(2)$ singlet$)$ with the mass $\sim1100$ MeV. The $\pi$- and $\sigma$-mesons have the mass $\sim330$ Mev in the phase with color superconductivity. The $\pi$-mesons are then stable particles, while the $\sigma$-meson is stable only in the chiral limit in which the current quark mass $m_0$ becomes zero. If $m_0\ne0$, then the $\sigma$-meson mixes with diquarks in the phase with color superconductivity and becomes a resonance with the width $\sim30$ MeV.

Keywords: Nambu–Jona-Lasinio model, color superconductivity, mesons, diquarks, Goldstone bosons

DOI: https://doi.org/10.4213/tmf5967

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English version:
Theoretical and Mathematical Physics, 2007, 150:1, 82–96

Bibliographic databases:

Received: 11.05.2006

Citation: K. G. Klimenko, D. Ebert, “Mesons and diquarks in a dense quark medium with color superconductivity”, TMF, 150:1 (2007), 95–111; Theoret. and Math. Phys., 150:1 (2007), 82–96

Citation in format AMSBIB
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\paper Mesons and diquarks in a~dense quark medium with color superconductivity
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Ebert, D, “Diquarks in the color-flavor locked phase of dense quark matter”, Physical Review D, 75:4 (2007), 045005  crossref  mathscinet  adsnasa  isi  elib  scopus
    2. Ebert D, Klimenko KG, Tyukov AV, et al, “Pion condensation of quark matter in a static Einstein universe”, European Physical Journal C, 58:1 (2008), 57–68  crossref  adsnasa  isi  scopus
    3. Ebert D, Klimenko KG, Yudichev VL, “Mass spectrum of diquarks and mesons in the color-flavor locked phase of dense quark matter”, European Physical Journal C, 53:1 (2008), 65–76  crossref  adsnasa  isi  scopus
    4. V. E. Rochev, “Meson contributions in the Nambu–Jona-Lasinio model”, Theoret. and Math. Phys., 159:1 (2009), 488–498  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. Ebert D., Klimenko K.G., “Cooper pairing and finite-size effects in a Nambu-Jona-Lasinio-type four-fermion model”, Phys Rev D, 82:2 (2010), 025018  crossref  mathscinet  adsnasa  isi  elib  scopus
    6. Ebert D., Gubina N.V., Klimenko K.G., Kurbanov S.G., Zhukovsky V.Ch., “Chiral density waves in the NJL(2) model with quark number and isospin chemical potentials”, Phys Rev D, 84:2 (2011), 025004  crossref  adsnasa  isi  elib  scopus
    7. Jafarov R.G., Rochev V.E., “Calculations of Multiquark Functions in Effective Models of Strong Interaction”, Phys. Atom. Nuclei, 76:9 (2013), 1149–1156  crossref  adsnasa  isi  elib  scopus
    8. Gubina N.V., Zhukovsky V.Ch., Klimenko K.G., Kurbanov S.G., “Emergence of a Nonuniform Pion Condensate in the (1+1)-Dimensional Nambu-Jona-Lasinio Model”, Phys. Atom. Nuclei, 76:11 (2013), 1377–1381  crossref  adsnasa  isi  scopus
    9. R. Ghosh, A. Bhattacharya, B. Chakrabarti, “A study of diquark and meson condensation in the Nambu–Jona-Lasinio model and Fermi momentum”, Theoret. and Math. Phys., 190:1 (2017), 91–97  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. Garibli A.A., Jafarov R.G., Rochev V.E., “Mean-Field Expansion, Regularization Issue, and Multi-Quark Functions in Nambu-Jona-Lasinio Model”, Symmetry-Basel, 11:5 (2019), 668  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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