The Perturbative Chiral Quark Model and Hadron Properties
Abstract
Quantum Chromo-Dynamics (QCD) is due to the non-linearity in the gluon sector hard to solve exactly. But it has many exact and approximate symmetries which can be built in an effective Lagrangian to investigate low energy properties of hadrons. Chiral perturbation theory (χPT) eliminates gluon and quark degrees of freedom and is based on a chirally symmetric effective Lagrangian on the hadron level. We in Tuebingen [1,2,3] kept the quark degrees of freedom and formulated an effective Lagrangian on the quark level treating hadron properties. This perturbative chiral quark model (PχQM) has only two free parameters. The size of the small relativistic component of the quark wave functions is adjusted to the axial coupling constant gA = 1.25 and a radius parameter R is used to reproduce the correct mean square charge radius of the proton. Here hadron properties are calculated within the PχQM.
- Publication:
-
Few-Body Problems in Physics
- Pub Date:
- January 2007
- DOI:
- 10.1142/9789812706881_0028
- Bibcode:
- 2007fbpp.conf..147F