Abstract
Representation mixing of meson states is considered with particular reference to the 1 ←→ 15 mixing in SU(4). The 16 meson states are assigned to the representation (4*, 4) of a non-chiral group SU(4) ⊗ SU(4), whose factors are related by charge-conjugation. Mass formula, mixing angles and electromagnetic mass shifts are rigorously derived. Connection of the present formalism with conventional quark model is pointed out and generalisations to higher groups SU(n) ⊗ SU(n) as well as to higher representations, are indicated.
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Bose, S.K. Representation mixing and the ideal description of mesons. Pramana - J Phys 9, 491–500 (1977). https://doi.org/10.1007/BF02846254
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DOI: https://doi.org/10.1007/BF02846254