Spin and Resonant States in QCD

Details Spin and Resonant States in QCD Spin and Resonant States in QCD

2003-03-20

arxiv.org/abs/nucl-th/0303049v3

AIP Conf.Proc. 670 (2003) 36-44

Physics

Nuclear Physics

Nuclear Theory

Added Ref. M. Kirchbach, D.V. Ahluwlalia, Phys. Lett. B529, 131 (2002) as the source of Figure 1. No further changes

Scientific paper

10.1063/1.1594316

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.

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