Searching for the quarkdiquark systematics of baryons composed by light quarks q = u, d

Supposing quarkdiquark 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) axialvector state, D¹ 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, M D 0 0 ≠ M D ¹1, (2) with M D⁰0 = M D ¹1 and overlapping q D⁰0 and qD¹1 states (resonances), (3) with/without SU(6) constraints for low-lying states (with quarkdiquark orbital momenta L = 0). In the high-mass region, the model predicts several baryon resonances at M ∼ 2.02.9 GeV. Moreover, the model gives us the double pole structure (i.e. two poles with the same Re M but different Im M) 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.