Supposing quark-diquark structure of baryons, we look for systematics of baryons composed of light quarks (q = u, d). We systematize baryons using the notion of two diquarks: (i) axial-vector state, D 1 1 , with the spin S D = 1 and isospin I D = 1 and (ii) scalar one, D 0 0 , with the spin S D = 0 and isospin I D = 0. We consider several schemes for the composed baryons: (1) with different diquark masses,and overlapping qD 0 0 and qD 1 1 states (resonances), (3) with/without SU (6) constraints for low-lying states (with quark-diquark orbital momenta L = 0). In the high-mass region the model predicts several baryon resonances at M ∼ 2.0 − 2.9 GeV. Moreover, the model gives us the double pole structure (i.e. two poles with the same ReM but different ImM ) in many amplitudes at masses M > ∼ 2.0 GeV. We see also that for description of low-lying baryons (with L = 0), the SU (6) constraint is needed. * anisovic@thd.pnpi.spb.ru
The modified measure theories recommend themselves as a good possibility to go beyond the standard formulation to solve yet unsolved problems. The Galileon measure that is constructed in the way to be invariant under the Galileon shift symmetry is considered in the context of superstring theory. The translation invariance of the vacuum holds up to a Galileon transformations. The supersymmetric action is presented with all terms, including the tension, being derived from the equations of motion.
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