Spin and Resonant States in QCD
Abstract
I make the case that the nucleon excitations do not exist as isolated higher spin states but are fully absorbed by (K/2,K/2)*[(1/2,0)+ (0,1/2)] multiplets taking their origin from the rotational and vibrational excitations of an underlying quark--diquark string. The \Delta (1232) spectrum presents itself as the exact replica (up to \Delta (1600)) of the nucleon spectrum with the K- clusters being shifted upward by about 200 MeV. QCD inspired arguments support legitimacy of the quark-diquark string. The above K multiplets can be mapped (up to form-factors) onto Lorentz group representation spaces of the type \psi_\mu_1...\mu_K, thus guaranteeing covariant description of resonant states. The quantum \psi_\mu_1...\mu_K states are of multiple spins at rest, and of undetermined spins elsewhere.
Cite
@article{arxiv.nucl-th/0303049,
title = {Spin and Resonant States in QCD},
author = {M. Kirchbach},
journal= {arXiv preprint arXiv:nucl-th/0303049},
year = {2009}
}
Comments
Added Ref. M. Kirchbach, D.V. Ahluwlalia, Phys. Lett. B529, 131 (2002) as the source of Figure 1. No further changes