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Quantum-chromodynamic evolution of the baryon system
Author(s) -
Stanley J. Brodsky,
ChuengRyong Ji
Publication year - 1986
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.33.1951
Subject(s) - physics , antisymmetric relation , baryon , covariant transformation , particle physics , quantum chromodynamics , nucleon , basis (linear algebra) , wave function , quark , quark model , quantum electrodynamics , quantum mechanics , mathematical physics , geometry , mathematics , quarkonium
We present a general method for solving the QCD evolution equa- tions which govern relativistic multi-quark wavefunctions. In the case of three-quark systems, we generate a light-cone basis of completely antisymmetric wavefunctions. This provides a general covariant clas- sification of baryonic states. We then calculate the spin-orbit mixing generated by the QCD evolution kernel in the basis of completely an- tisymmetric representations.- We are consistent with previous results, but additionally, we obtain a distinctive classification of N and A wave- functions. The corresponding Q2 dependence of the baryon distribution amplitudes distinguishes the N and A form factors.

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