Spin-Flavor SU(6) Symmetry for Baryon-Baryon Interactions

Short-range parts of the baryon-baryon ($BB$) interactions are analyzed from the spin-flavor $SU(6)_{sf}\supset SU(3)_f \times SU(2)_s$ symmetry viewpoint. Due to the Pauli principle of quarks, the symmetry structure of the wave functions is restricted at short distances. Consequently, the $BB$ states with the same spin-flavor quantum numbers may be reduced into one or a few spin-flavor states. Such reduction causes repulsion and/or suppression of transitions at short distances. We show that the observed suppression of the $ΞN \to ΛΛ$ conversion can be explained following the above argument. It is also applied to the suppression of the $ΣN$ to $ΛN$ conversion in the spin 1 and isospin 1/2 channel. Furthermore, the effects of the color-magnetic interaction (CMI), which prefers flavor antisymmetric states, to the Pauli-allowed states are discussed.

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