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

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• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Baryon formation and dissociation in dense hadronic and quark matter
• Mass spectrum of diquarks and mesons in the color--flavor locked phase of dense quark matter
• 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