Path-integral hadronization for the nucleon and its interactions

Details Path-integral hadronization for the nucleon and its interactions Path-integral hadronization for the nucleon and its interactions

2002-06-03

arxiv.org/abs/nucl-th/0206002v1

Phys.Rev. C66 (2002) 025206

Physics

Nuclear Physics

Nuclear Theory

31 pages, 8 figures, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.66.025206

Nucleon structure and the origin and nature of the nuclear force are investigated in the context of a QCD-based effective field theory and the path-integral method of hadronization. We start from a microscopic model of quarks and diquarks where the gluons have been integrated out. In particular, we use the chiral Nambu-Jona-Lasinio model to describe quark dynamics and assume that the nucleon can be conceived as a quark-diquark relativistic bound state. The hadronization method is then used to rewrite the problem in terms of the physical meson and nucleon degrees of freedom. Next, by employing a loop and derivative expansion of the resulting quark/diquark determinants, we arrive at an effective chiral meson-nucleon Lagrangian. Nucleon properties such as mass, coupling constants, electromagnetic radii, anomalous magnetic moments, and form factors are derived using a theory of at most two free parameters.

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