Self-consistent treatment of the quark condensate and hadrons in nuclear matter

Details Self-consistent treatment of the quark condensate and hadrons in nuclear matter Self-consistent treatment of the quark condensate and hadrons in nuclear matter

1998-11-19

arxiv.org/abs/hep-ph/9811391v1

Eur.Phys.J. A4 (1999) 171-186

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, LaTeX, 9 PostScript figures, epsfig.sty; sent to the European Physical Journal A

Scientific paper

10.1007/s100500050216

We calculate the contribution of pions to the $\bar qq$-expectation value $\kappa(\rho)= $ in symmetric nuclear matter. We employ exact pion propagator renormalized by nucleon-hole and isobar-hole excitations. Conventional straightforward calculation leads to the "pion condensation" at unrealistically small values of densities, causing even earlier restoration of chiral symmetry. This requires a self-consistent approach, consisting in using the models, which include direct dependence of in-medium mass values on $\kappa(\rho)$, e.g. the Nambu-Jona-Lasinio-model. We show, that in the self-consistent approach the $\rho$-dependence of the condensate is described by a smooth curve. The "pion condensate " point is removed to much higher values of density. The chiral restoration does not take place at least while $\rho<2.8\rho_0$ with $\rho_0$ being the saturation value. Validity of our approach is limited by possible accumulation of heavier baryons (delta isobars) in the ground state of nuclear matter. For the value of effective nucleon mass at the saturation density we found $m^*(\rho_0)=0.6m$, consistent with nowadays results of other authors.

Affiliated with

Also associated with

No associations

Rating

Self-consistent treatment of the quark condensate and hadrons in nuclear matter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-consistent treatment of the quark condensate and hadrons in nuclear matter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-consistent treatment of the quark condensate and hadrons in nuclear matter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-481569