Quark mean-field theory and consistency with nuclear matter

Abstract

1/N, expansion in QCD (with N, the number of colors) suggests using a potential from meson sector (e.g., Richardson) for baryons. For light quarks a 0. field has to be introduced to ensure chiral symmetry breaking (ySB). It is found that nuclear matter properties can be used to pin down the ySB modeling.All masses, M&, m, m", are found to scale with density. The equations are solved self-consistently. Low-energy physics is essentially controlled by the Goldstone particle, i.e. , the pion. The relevant parameter is the pion decay constant, f . This is related to the quark condensate (qq ) through the Weinberg sum rule.In the QCD sum-rule approach also, the nucleon mass is determined predominantly by the odd-dimensional operator (qq ) (

The role of nucleon structure in finite nuclei

“…This approach has also had considerable success in the treatment of scattering processes [7]. At the same time, the simplicity of Quantum Hadrodynamics (QHD) [8,9] has led to its widespread application, and to attempts to incorporate the density dependence of the couplings [10,11] that seems to be required empirically.…”