The method which Wigner used for the classification of supermultiplets has been generalized to the excited energy spectrum of hypernuclei. The general form of two-body interaction is obtained which approximately does not break the SU6=SU3?SU2 classification and the coefficients in each of its term are determined from the experimental scattering data. The formula for the energy matrix element under SU6 is also derived. For 9ΛBe*,10ΛBe* and 10ΛΛBe*, some concrete calculations aregiven. We find that 9ΛBe* states seem to agree qualitatively with experiment.
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