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Quark-Geometrodynamics: A New Approach to Hadrons and their Interactions

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The Whys of Subnuclear Physics

Part of the book series: The Subnuclear Series ((SUS,volume 15))

Abstract

There remains little doubt today that the quark idea must be taken as the starting point of any serious attempt to build a theory of hadrons and their interactions. But which direction one should take appears at the present level of knowledge highly uncertain; even though the successes of the gauge theories of weak interactions have given a strong impulse to the belief that the “best” candidate for a theory of strong interactions is Quantum Chromo-Dynamics (QCD), which has the virtue of extending the gauge principle to the realm of hadrons. Direct quantitative tests will decide which of the proposed approaches, if any, should survive; for the time being it is necessary to stress the importance that all possible avenues be tried and confronted with the evergrowing experimental information on the most diverse hadrodynamical aspects.

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References and Footnotes

  1. The naïve quark model was introduced in 1965 by G. Morpurgo, Physics 2 915 (1965) and later by aau]R.H. Dalitz, in Proc. 13th Internat. Conf. on High-Energy Physics, Berkeley, 1966 (Univ. of Calif. Press, Berkeley and Los Angeles, 1967), p. 215.

    Google Scholar 

  2. R.P. Feynman, Photon-hadron interactions (W.A. Benjamin, New York, 1972).

    Google Scholar 

  3. Colour was first introduced by O.W. Greenberg, Phys. Rev. Letters 13, 598 (1964). and later developed into QCD by.

    Article  ADS  Google Scholar 

  4. H. Fritzsch, M. Gell-Mann and H. Leutwyler, Phys. Letters 47B, 365 (1973).

    ADS  Google Scholar 

  5. See the discussion of K.G. Wilson, Proc. 1975 International School of Subnuclear Physics, Erice, Italy, in New phenomena in subnuclear physics, part A (ed. A. Zichichi) (Plenum Press, New York, 1977), p. 127.

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  6. The original paper on the MIT-Bag is by A. Chodos, R.L. Jaffe, K. Johnson, C.B. Thorn and V.F. Weisskopf, Phys. Rev. D 9, 3471 (1974); its extension is due to J. Kuti and collaborators; see, for example, J. Kuti, Proc. of the European Conference on Particle Physics, Budapest, 1977.

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  7. This approach has been proposed by G. Preparata and N. Craigie, Nuclear Phys. B102, 478 (1976). Among its precursors the works of Yukawa and his group in the early fifties are the most noteworthy.

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  8. V.F. Weisskopf, Proc. 1975 International School of Subnuclear Physics, Erice, Italy, in New phenomena in subnuclear physics, part A (ed. A. Zichichi) (Plenum Press, New York, 1977), p. 241.

    Chapter  Google Scholar 

  9. G. Preparata, Proc. 1975 International School of Subnuclear Physics, Erice, Italy, in New phenomena in subnuclear physics, part A (ed. A. Zichichi) (Plenum Press, New York, 1977), p. 193.

    Chapter  Google Scholar 

  10. G. Preparata, Proc. 1976 International School of Subnuclear Physics, Erice, Italy, in Understanding the fundamental constituents of matter (ed. A. Zichichi).

    Google Scholar 

  11. J.A. Wheeler, Geometrodynamics (Academic Press, New York, 1962).

    MATH  Google Scholar 

  12. I have in mind the remarkable posthumous book by H. Hertz, The principles of mechanics presented in a new form (Dover, New York, 1956).

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  13. For a discussion of the U(l)-problem, see S. Coleman’s lectures at this School.

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  14. G. Preparata and K. Szegö, Phys. Letters 68B, 239 (1977).

    ADS  Google Scholar 

  15. F. Csikor and G. Preparata, Geometrodynamics for quarks and hadrons; the definition of currents, CERN TH 2396 (1977).

    Google Scholar 

  16. N. Craigie and G. Preparata, Nuclear Phys. B102, 497 (1976).

    ADS  Google Scholar 

  17. I am following closely the presentation in G. Preparata, Proc. 8th Internat. Symposium on Multiparticle Dynamics, Kaysersberg, France, 1977 (C.R.N., Strasbourg, 1977), p. B–65.

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  18. This follows from the particular structure of baryonic wave functions; see Section 4.

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  19. This is a consequence of our normalization procedure; see Ref. 9.

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  20. This equation has been introduced first in A. Krzywicki and B. Petersson, Phys. Rev. D 6, 2606 (1972).

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  21. For a recent review of the situation, see A. Wrobleski, Proc. 8th Internat. Symposium on Multiparticle Dynamics, Kaysersberg, France, 1977 (C.R.N., Strasbourg, 1977), p. A–1.

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  22. The smallness of the number of produced FS’s is a consequence of the perturbative nature of hadronic interactions (see Section 5).

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  23. For a recent review, see the excellent lectures of B. Wiik and G. Wolf, Proc. Ecole d’été de physique théorique 1976, Les Houches, France, Weak and electromagnetic interactions at high energy (North-Holland, Amsterdam, 1977), p. 403.

    Google Scholar 

  24. P. Stix and T. Ferbel, Phys. Rev. D 15, 358 (1977).

    Article  ADS  Google Scholar 

  25. As is well known, this fact has been taken as evidence for the existence of gluons.

    Google Scholar 

  26. See, for example, S.J. Brodsky, Proc. 8th Internat. Symposium on Multiparticle Dynamics, Kaysersberg, France, 1977 (C.R.N., Strasbourg, 1977), p. B–181.

    Google Scholar 

  27. See Sections 3 and 4.

    Google Scholar 

  28. S.M. Berman, J.D. Bjorken and J. Kogut, Phys. Rev. D 4, 3388 (1971).

    Article  ADS  Google Scholar 

  29. An approximate calculation of f’(z) is contained in Ref. 15.

    Google Scholar 

  30. See the review of J. Polkinghorne, Proc. of the European Conference on Particle Physics, Budapest, 1977.

    Google Scholar 

  31. G. Preparata and G. Rossi, Nuclear Phys. B111, 111 (1976).

    ADS  Google Scholar 

  32. For a review, see P. Darriulat, Proc. Internat. Conf. on High-Energy Physics, Tbilisi, USSR, 1976 (Dubna, USSR, 1977), p. A4–23.

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© 1979 Plenum Press, New York

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Preparata, G. (1979). Quark-Geometrodynamics: A New Approach to Hadrons and their Interactions. In: Zichichi, A. (eds) The Whys of Subnuclear Physics. The Subnuclear Series, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0991-8_15

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  • DOI: https://doi.org/10.1007/978-1-4684-0991-8_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-0993-2

  • Online ISBN: 978-1-4684-0991-8

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