Baryon distribution amplitude: Large-Nc factorization, spin-flavor symmetry and soft-pion theorem

Details Baryon distribution amplitude: Large-Nc factorization, spin-flavor symmetry and soft-pion theorem Baryon distribution amplitude: Large-Nc factorization, spin-flavor symmetry and soft-pion theorem

2005-01-17

arxiv.org/abs/hep-ph/0501159v3

Phys.Rev. D72 (2005) 016001

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages

Scientific paper

10.1103/PhysRevD.72.016001

The 1/N_c expansion for the baryon distribution amplitude is constructed in terms of a specially designed generating functional. At large N_c this functional shows exponential behavior. The exponential factor is universal for all low-lying baryons and baryon-meson scattering states. Simple factorization properties are established for the preexponential term. This factorization agrees with the large-N_c contracted SU(2N_f) spin-flavor symmetry. The consistency of the factorization with the soft-pion theorem for the baryon distribution amplitude is explicitly checked. A relation between the generating functionals for the distribution amplitudes of the nucleon and the Delta resonance is derived.

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