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Elementary particle states based on the Clifford algebraC 7
Authors:S A Basri  A O Barut
Institution:(1) Department of Physics, Colorado State University, 80523 Fort Collins, Colorado;(2) Department of Physics, University of Colorado, 80309 Boulder, Colorado
Abstract:The lepton isodoublet (e ,v e ), the ldquobarerdquo 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., (mgr ,ngr mgr ), (tau ,ngr tau ),..., and (s 0,c +),(b0,t+) are generated by the products (e ,v e )otimesa and (n,p)otimesa, whereaequiv2–1/2(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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