Baryon density and the dilated chiral quark model

Sep, 1996
21 pages
Published in:
  • Phys.Rev.C 55 (1997) 3100-3107
e-Print:

Citations per year

199719981999200031
Abstract:
We calculate perturbatively the effect of density on hadronic properties using the chiral quark model implemented by the QCD trace anomaly. We calculate the density dependent masses of the constituent quark (mQm_Q), the scalar field (mχm_{\chi}) and the pion (mπm_{\pi}) in one-loop order using the technique of thermo field dynamics. In the chiral limit, the pion remains massless at finite density. It is found that the tadpole type corrections lead to the decreasing masses with increasing baryon density, while the radiative corrections induce Lorentz-symmetry-breaking terms except when the particles probed is of high energy. We found in the large NcN_c limit(large scalar mass limit) that tadpoles dominate and the mean-field approximation is reliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as the baryon density increases.
  • quark: chiral
  • baryon: density
  • quantum chromodynamics: anomaly
  • effective Lagrangian
  • quark: mass
  • scalar particle: mass
  • pi: mass
  • dependence: density
  • correction: tadpole
  • mean field approximation