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Title: Mesons and diquarks in neutral color superconducting quark matter with {beta} equilibrium

Abstract

The spectrum of meson and diquark excitations in cold color superconducting (2SC) quark matter is investigated under local color and electric neutrality constraints with {beta} equilibrium. A two-flavored Nambu-Jona-Lasinio-type model including baryon {mu}{sub B}, color {mu}{sub 8}, and electric {mu}{sub Q} chemical potentials is used. The contribution from free electrons to the free energy is added to take into account the {beta} equilibrium. The sensitivity of the model to the tuning of the interaction constants in the diquark (H) and quark-antiquark (G) channels is examined for two different parametrization schemes by choosing the ratio H/G to be 3/4 and 1, respectively. The gapless neutral color superconductivity is realized at H=3G/4, and the gapped neutral color superconductivity at H=G. It is shown that color and electrical neutrality together with {beta} equilibrium lead to a strong mass splitting within the pion isotriplet in the 2SC phase (both gapped and gapless), in contrast with non-neutral matter. The {pi}- and {sigma}-meson masses are evaluated to be {approx}300 MeV. It is also shown that the properties of the physical SU(2){sub c}-singlet diquark excitation in the 2SC ground state vary for different parametrization schemes. Thus, for H=3G/4 one finds a heavy resonance with mass {approx}1100 MeVmore » in the non-neutral (gapped) case, whereas, if neutrality is imposed, a stable diquark with mass {approx}|{mu}{sub Q}|{approx}200 MeV appears in the gapless 2SC environment. For a stronger attraction in the diquark channel (H=G), there is again a resonance (with the mass {approx}300 MeV) in the neutral gapped 2SC phase. Hence, the existence of the stable massive SU(2){sub c}-singlet diquark excitation is a new peculiarity of the gapless 2SC. In addition, the behavior of the diquark mass in vacuum, i.e., at {mu}{sub B}=0, as a function of H has been investigated.« less

Authors:
 [1];  [2];  [3]
  1. Institut fuer Physik, Humboldt-Universitaet zu Berlin, 10115 Berlin (Germany)
  2. Institute of High Energy Physics, 142281, Protvino, Moscow Region (Russian Federation)
  3. Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region (Russian Federation)
Publication Date:
OSTI Identifier:
21010937
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.75.025024; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYONS; COLOR MODEL; ELECTRONS; EXCITATION; FREE ENERGY; GROUND STATES; MEV RANGE; PIONS; POTENTIALS; QUARK MATTER; QUARK-ANTIQUARK INTERACTIONS; REST MASS; SU-2 GROUPS; SUPERCONDUCTIVITY

Citation Formats

Ebert, D., Klimenko, K. G., and Yudichev, V. L.. Mesons and diquarks in neutral color superconducting quark matter with {beta} equilibrium. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.025024.
Ebert, D., Klimenko, K. G., & Yudichev, V. L.. Mesons and diquarks in neutral color superconducting quark matter with {beta} equilibrium. United States. doi:10.1103/PHYSREVD.75.025024.
Ebert, D., Klimenko, K. G., and Yudichev, V. L.. Mon . "Mesons and diquarks in neutral color superconducting quark matter with {beta} equilibrium". United States. doi:10.1103/PHYSREVD.75.025024.
@article{osti_21010937,
title = {Mesons and diquarks in neutral color superconducting quark matter with {beta} equilibrium},
author = {Ebert, D. and Klimenko, K. G. and Yudichev, V. L.},
abstractNote = {The spectrum of meson and diquark excitations in cold color superconducting (2SC) quark matter is investigated under local color and electric neutrality constraints with {beta} equilibrium. A two-flavored Nambu-Jona-Lasinio-type model including baryon {mu}{sub B}, color {mu}{sub 8}, and electric {mu}{sub Q} chemical potentials is used. The contribution from free electrons to the free energy is added to take into account the {beta} equilibrium. The sensitivity of the model to the tuning of the interaction constants in the diquark (H) and quark-antiquark (G) channels is examined for two different parametrization schemes by choosing the ratio H/G to be 3/4 and 1, respectively. The gapless neutral color superconductivity is realized at H=3G/4, and the gapped neutral color superconductivity at H=G. It is shown that color and electrical neutrality together with {beta} equilibrium lead to a strong mass splitting within the pion isotriplet in the 2SC phase (both gapped and gapless), in contrast with non-neutral matter. The {pi}- and {sigma}-meson masses are evaluated to be {approx}300 MeV. It is also shown that the properties of the physical SU(2){sub c}-singlet diquark excitation in the 2SC ground state vary for different parametrization schemes. Thus, for H=3G/4 one finds a heavy resonance with mass {approx}1100 MeV in the non-neutral (gapped) case, whereas, if neutrality is imposed, a stable diquark with mass {approx}|{mu}{sub Q}|{approx}200 MeV appears in the gapless 2SC environment. For a stronger attraction in the diquark channel (H=G), there is again a resonance (with the mass {approx}300 MeV) in the neutral gapped 2SC phase. Hence, the existence of the stable massive SU(2){sub c}-singlet diquark excitation is a new peculiarity of the gapless 2SC. In addition, the behavior of the diquark mass in vacuum, i.e., at {mu}{sub B}=0, as a function of H has been investigated.},
doi = {10.1103/PHYSREVD.75.025024},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}