The low-lying baryons
Part of the Lecture Notes in Physics book series (LNP, volume 97)
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- 1.For standard discussions of the quark model and SU(3) see, for example, Gell-Mann and Ne'eman (1964), Dalitz (1966), Feld (1969), and Feynman (1972).Google Scholar
- 2.Twistor diagrams were introduced in Penrose and MacCallum (1972), and are discussed at length in Penrose (1975a, pp. 330–369). For additional discussion see, for example, Sparling (1974), Sparling (1975), Hodges (1975), Harris (1975), Ryman (1975), and Huggett (1976). A number of articles on twister diagrams have been written by A.P. Hodges for Twister Newsletter, and in the same reference one can find an article by S.A. Huggett and M.L. Ginsberg discussing the cohomological interpretation of certain classes of twister diagrams. In Popovich (1975) one finds a good summary of many of the heuristic aspects of the analysis of twister diagrams for hadronic, leptonic, and semileptonic processes. Although we shall not be entering into a discussion of the matter here, it is perhaps worth noting that there exist a number of interesting formal correspondences between twister diagrams and duality diagrams. A useful reference on dual theory is Jacob (1974). Basic references to duality diagrams include Harari (1969), Rosner (1969), Neville (1969), and Matsuoka et al (1969). Higher order duality diagrams, which also fit into the twistor framework [where “quark loops” correspond to “helicity flux loops” in twistor diagrams], are discussed in Kikkawa et al (1969). There is something very curious and combinatorial about the theory of duality diagrams, suggestive of some of the principles involved in spin-network theory [Penrose 1971a and 1971b; also see the Twistor Newsletter articles on spin-networks by S.A. Huggett and J.P. Moussouris], and more investigation in this area is certainly called for.Google Scholar
- 3.Standard references for the theory of deformations of complex analytic structures include Kodaira and Spencer (1958), Kodaira and Spencer (1960), and Morrow and Kodaira (1971). It is first suggested in Penrose (1968b) that gravitation is in some sense due to a shift in the complex analytic structure of twistor space.Google Scholar
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