Abstract
The lepton isodoublet (e −,v e ), the “bare” nucleon isodoublet (n,p), and their antiparticles are shown to constitute a basis of the irreducible representation of the Clifford algebraC 7. The excited states of these doublets, i.e., (μ −,ν μ ), (τ −,ν τ ),..., and (s 0,c +),(b0,t+) are generated by the products (e −,v e )⊗a and (n,p)⊗a, wherea≡2−1/2(e − e ++v e v e ) has the same quantum numbers as the photon state. The bare baryonss, c, b, t carry the strangeness, charm, bottom, and top quantum numbers. These lepton and bare baryon states are in one-to-one correspondence with the integrally charged colored Han-Nambu quarks, and generate all the observedsu(3) andsu(4) hadron multiplets.
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Basri, S.A., Barut, A.O. Elementary particle states based on the Clifford algebraC 7 . Int J Theor Phys 22, 691–722 (1983). https://doi.org/10.1007/BF02085958
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DOI: https://doi.org/10.1007/BF02085958