Strong Decays of Higher Baryons in a Quark Model

An $\mathrm{SU}\left(6\right)\mathrm{}\times O\left(3\right)\mathrm{}$ model of baryons, which had earlier been used by Mitra and Ross for the evaluation of the strong decay widths of negative parity (70,$1^{-}$) baryons, is now extended to higher-lying baryonic states assumed to belong to the (56,$2^{+}$) and (70,$3^{-}$) representations, as Regge recurrences of the supermultiplets (56,$0^{+}$) and (70,$1^{-}$), respectively. Four different classes of supermultiplet transitions are examined. For the transitions (56,$2^{+}$) → (56,$0^{+}$), the results are in broad agreement with experiment, as well as those of ${\mathrm{SU}\left(6\right)\mathrm{}}_W$ and previous quark-model calculations. For the transitions (56,$2^{+}$) → (56,$2^{+}$) and (56,$2^{+}$) → (70,$1^{-}$), appreciable widths are predicted for several experimentally observable states, the first type being geometrically related to the $N^{*}{N}_{\pi }$ coupling constant, and the second type being shown to involve a symmetry transition of only one unit (from symmetric to mixed symmetric wave functions). Results are also given for transitions from (70,$3^{-}$) states.