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arXiv · 1002.1577

Quark--Diquark Systematics of Baryons and the SU(6)SYMMETRY for Light States

A. V. Anisovich·V. V. Anisovich·M. A. Matveev·V. A. Nikonov·A. V. Sarantsev·T. O. Vulfs
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Abstract

We continue our attempts to systematize baryons, which are composed of light quarks ($q=u,d$), as quark--diquark systems. The notion of two diquarks is used: (i) $D^{1}_{1}$, with the spin $S_D=1$ and isospin $I_D=1$ and (ii) $D^{0}_{0}$, with $S_D=0$ and $I_D=0$. Here we try to resolve the problem of the low-lying $Δ(\frac 52^-)$ states: in the last experiments the lightest state is observed at $\ga 2200$ MeV, not at $1900 - 2000$ MeV as it has been stated 20 years ago. We are looking for different systematization variants with the forbidden low-lying $Δ(\frac 52^-)$ states in the mass region $\la 2000$ MeV. We see that the inclusion of the SU(6) constraints on $qD^{1}_{1}$ states with angular momentum L=1 results in a shift of the lightest $Δ(\frac 52^-)$ isobar to $\sim 2300$ MeV. The scheme with the SU(6) constraints for low-lying $qD^{1}_{1}$ and $qD^{0}_{0}$ states (with $L=0,1$) is presented in detail here.

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A. V. Anisovich, V. V. Anisovich, M. A. Matveev, V. A. Nikonov, A. V. Sarantsev, T. O. Vulfs. 2010-02-08. Quark--Diquark Systematics of Baryons and the SU(6)SYMMETRY for Light States. https://arxiv.org/abs/1002.1577

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