Path-integral hadronization for the nucleon and its interactions

Abstract

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.

31 pages, 8 figures, submitted to Physical Review C

References in corpus (3)

• Precise Neutron Magnetic Form Factors
• A Measurement of the Electric Form Factor of the Neutron through $\vec{d}(\vec{e},e^{\prime }n)p$ at $Q^2=0.5$ (GeV/c)${}^2$
• Effective gauge field theory of the t-J model in the charge-spin separated state and its transport properties

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• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD
• The mass of the nucleon in a chiral quark-diquark model
• Two Nucleon-States in a Chiral Quark-Diquark Model
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment