Skip to main content

Current and Constituent Quarks: Theory and Practice

  • Chapter
  • 76 Accesses

Part of the book series: International Physics Workshop Series ((IPWS,volume 1))

Abstract

The present status of SU(6)W phenomenology is surveyed in detail. After a discussion of SU(6) multiplets in the baryon and meson spectra, some ideas underlying the construction of SU(6)W decay models are reviewed. In particular, the approach to SU(6)W invoking the Melosh transformation between current and constituent quarks is described, and also, more briefly, explicit harmonic oscillator quark model calculations. The relative successes of the predictions of these two approaches for both baryon and meson decays are discussed at length. Some interesting suggestions emerge concerning the missing meson multiplets.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References and Footnotes

  1. For more extensive discussion of the constituent quark model, together with a more complete set of references than can be given here, the reader is referred to the reviews by H.J. Lipkin (Phys. Reports C8 (1973)). J. Rosner (Physics Reports C11 (1974) and J. Weyers, Lectures at 1973 Louvain Summer School.

    Google Scholar 

  2. We are thus tacitly assuming ‘hidden’ colour for the quarks.

    Google Scholar 

  3. P.J. Litchfield, Review talk at the London Conference (17th Int. Conf. on High Energy Physics, London 1974, ed. J.R, Smith).

    Google Scholar 

  4. R.J. Hemingway, Talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975; and P. Lamb private communication.

    Google Scholar 

  5. O.W. Greenberg, Phys. Rev. Letts 13 (1964) 598; R.H. Dalitz, Les Houches Lectures 1965 p. 253 (Gordon and Breach, New York, 1965).

    Article  ADS  Google Scholar 

  6. R. Horgan, Nuclear Physics B71 (1974) 514.

    Article  Google Scholar 

  7. W.D. Apel et al., Physics Letters 57B (1975) 398.

    Google Scholar 

  8. W. Blum et al., Physics Letters 57B (1975) 403.

    Google Scholar 

  9. I.J.R. Aitchison, Review Talk in “Three Particle Phase Shift Analysis and Meson Resonance Production”, Proceedings of the Daresbury Study Weekend No. 8, 1975, ed. by J.B. Dainton and A.J.G. Hey.

    Google Scholar 

  10. U. Kruse, Review talk in Daresbury Study Weekend No. 8, 1975.

    Google Scholar 

  11. E.L. Berger, Review talk in Daresbury Study Weekend No. 8, 1975.

    Google Scholar 

  12. For cross section estimates see G.C. Fox and A.J.G. Hey, Nucl.- Phys. B56 (1973) 386, and also A.C. Irving and V. Chaloupka, Nucl. Phys. B89 (1975) 345.

    Article  ADS  Google Scholar 

  13. F. Wagner, contribution to Daresbury Study Weekend No. 8, 1975 - but see also D.J. Crennell’s contribution.

    Google Scholar 

  14. See for example, G. Kane, talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975.

    Google Scholar 

  15. See for example J.S. Bell, Schladming Lectures (1974), CERN preprint TH-1851, published in*Acta Physica Austriaca; and H. Ruegg, Lectures at the XVth Cracow Summer School, Zakopane Poland (1975), to be published in Acta Physica Polonica.

    Google Scholar 

  16. V is usually called the Melosh Transformation, although a similar mixing operator appears in the works of many authors, in particular F. Bucella, H. Kleinert, C.A. Savoy, E. Celeghini and E. Sorace, Nuovo Cimento 69A (1970), 133 and later works.

    ADS  Google Scholar 

  17. J.S. Bell and A.J.G. Hey, Phys. Letters 51B (1974) 365.

    ADS  Google Scholar 

  18. See for example ref. 15 and other lectures at this workshop. See also H. Osborn, Nucl. Phys. B80 (1974) 90, 113; R. Carlitz et al., Phys. Rev. D11 (1975) 1234; and R. Carlitz and W.K. Tung, Chicago Preprint 1975.

    Article  ADS  Google Scholar 

  19. H.J. Melosh, Phys. Rev. D9 (1974) 1095.

    ADS  Google Scholar 

  20. F.J. Gilman, M. Kugler, and S. Meshkov, Phys. Rev. D9 (1974) 715.

    ADS  Google Scholar 

  21. A.J.G. Hey, J.L. Rosner and J. Weyers, Nucl. Phys, B61 (1973) 205.

    Article  ADS  Google Scholar 

  22. A.J.G. Hey and J. Weyers, Phys. Lett. 48B (1974) 69.

    ADS  Google Scholar 

  23. F.J, Gilman and I. Karliner, Phys. Rev. D10 (1974) 2194.

    ADS  Google Scholar 

  24. F.E. Close, H. Osborn and A. Thomson, Nucl. Phys. B77 (1974) 28l.

    Google Scholar 

  25. R.J. Cashmore, A.J.G. Hey and P.J. Litchfield, Southampton Preprint THEP 74/5-6, to be published in Nuclear Physics B (1975).

    Google Scholar 

  26. H.J. Lipkin, Phys. Rev. D2 (1974) 1579.

    ADS  Google Scholar 

  27. H. Burkhardt and A.J.G. Hey, Birmingham and Southampton Preprint 1975.

    Google Scholar 

  28. This was emphasized by R.G. Moorhouse, Talk at London Conference 1974.

    Google Scholar 

  29. See for example, D. Faiman and A.W. Hendry, Phys. Rev. 173 (1968) 1720; Phys. Rev. 180 (1969) 1572, 1609; and L.A. Copley, G. Karl and E. Obryk, Phys. Rev. D4 (1971) 2844. For calculations including a more general (but still not the most general) SU(6) structure, see for example K.C. Bowler, Phys. Rev. D1 (1970) 926 and F.E. Close, L.A. Copley, and G. Karl, Oxford Preprint (1968) (unpublished).

    Article  ADS  Google Scholar 

  30. A.J.G. Hey, P.J. Litchfield and R.J. Cashmore, CERN Preprint TH - 1886, to be published in Nuclear Physics B (1975).

    Google Scholar 

  31. D. Faiman and D.E. Plane, Nucl. Phys. B50 (1972) 379.

    Article  ADS  Google Scholar 

  32. M. Jones, R. Levi Setti and T. Lasinski, Nuovo Cimento 19A (1974) 365.

    ADS  Google Scholar 

  33. For further discussion, see R.H. Dalitz, talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975.

    Google Scholar 

  34. D. Faiman and J. Rosner, Phys. Lett. 45B (1973) 357; F. J. Gilman, M. Kugler and S. Meshkov, Phys. Lett. 45B (1973) 48l.

    ADS  Google Scholar 

  35. D.E. Plane et al., Nucl. Phys. B22 (1970) 93; P.J. Litchfield et al., Nucl. Phys. B30 (1971) 125; A. Barbaro-Gaitieri, LBL-1366 (1972): published in Proceedings of 1972 International Conference at Batavia (ed. J.D. Jackson and A. Roberts).

    Article  ADS  Google Scholar 

  36. R.S. Longacre et al., SLAC-PUB-1390 (Rev), to be published in Physics Letters.

    Google Scholar 

  37. J. Prevost et al., Nucl. Phys. B64 (1974), 246.

    Article  ADS  Google Scholar 

  38. R.J. Cashmore, frequently repeated private communication.

    Google Scholar 

  39. A. Le Yaouanc et al., Phys. Rev. D8 (1973) 2223; ibid. D11 (1975) 1272.

    ADS  Google Scholar 

  40. R.P. Feynman, M. Kislinger and F. Ravndal, Phys. Rev. D3 (1971) 2706.

    ADS  Google Scholar 

  41. This is pointed out by J. Rosner, ref. 1.

    Google Scholar 

  42. Several authors, recently R. Dashen and G. Kane, Phys. Rev. D11 (1975) 136, and N. Cottingham (private communication) have suggested that some candidates for radial excitations should not be classified as simple quark states. See also the talks of J.0. Dickey and R.H. Dalitz, at the Argonne Summer Symposium 1975.

    ADS  Google Scholar 

  43. See for example, C. Heusch and F. Ravndal, Phys. Rev. Lett. 25 (1970) 253.

    Article  ADS  Google Scholar 

  44. W.J. Metcalf and R.L. Walker, Nuclear Phys. B76 (1974) 253; R.L. Walker, Phys. Rev. 182 (1969) 1729.

    ADS  Google Scholar 

  45. J. Babcock and J.L. Rosner, Cal Tech Preprint CALT-68-I+85 (1975).

    Google Scholar 

  46. G. Kneis, R.G. Moorhouse, H. Oberlack, A. Rittenberg and A.H, Rosenfeld, Proceedings of the 17th Int. Conf. on High Energy Physics, London 1974, ed. by J.R. Smith, contributed paper No. 957. G. Kneis, R.G. Moorhouse, H. Oberlack and A.H. Rosenfeld, LBL-2673 (1974).

    Google Scholar 

  47. R.C.E. Devenish, D.H. Lyth and W. Rankin, Phys. Letters 52B (1974) 227.

    ADS  Google Scholar 

  48. See our Table 3 and also Table 18 of ref. 1+5.

    Google Scholar 

  49. J.L. Rosner and W.P. Petersen, Phys. Rev. D7 (1973) 747.

    ADS  Google Scholar 

  50. R.G. Moorhouse, Rapporteur’s talk at Palermo Conf. 1975.

    Google Scholar 

  51. R. Carlitz and J. Weyers, Phys. Lett. 56B (1975) 154.

    ADS  Google Scholar 

  52. D. Faiman, Weizmann Institute preprint WIS-7l+/7-Ph.

    Google Scholar 

  53. See for example R.G. Moorhouse and N. Parsons,Phys. Lett. 1+7B (1973) 2l+; and D. Faiman, Phys. Lett. 1+9B (1974) 365.

    Google Scholar 

  54. It is crucial for P.T. Mathews and G. Feldman, I.C. Preprint 1975, who have invoked such a factor to suppress photon decays of coloured states in a colour model for the new particles. This is clearly a large and speculative extrapolation of this factor from its present domain of validity.

    Google Scholar 

  55. Further discussion is contained in Ref. 27. I am grateful to John Ellis of CERN and Potters Bar Institute of Technology for emphasizing this point.

    Google Scholar 

  56. The possibility of mixing is ignored in this “first approximation” analysis.

    Google Scholar 

  57. There are indications from pp annihilation into 1+ir via the 1 channel that pe may be important. However, since the p’(l.6) is well below threshold for this experiment it is difficult to make any definitive statements concerning resonance branching ratios. I am grateful to Lucien Montanet for informing of the pp analysis.

    Google Scholar 

  58. One can ‘explain’ these narrow widths for radial excitations by an othogonality argument for Hπ sandwiched between L=0 states. It is still surprising, however, that this remains valid to quite large Q values in the decay. We are grateful to Professor Feynman for some stimulating discussions concerning this point.

    Google Scholar 

  59. C. Bemporad, invited talk at the 1975 Int. Symposium on Lepton and Photon Interactions at High Energy, Stanford, Aug. 21–27 1975.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1977 Plenum Press, New York

About this chapter

Cite this chapter

Hey, A.J.G. (1977). Current and Constituent Quarks: Theory and Practice. In: Morpurgo, G. (eds) Quarks and Hadronic Structure. International Physics Workshop Series, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0928-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-0928-4_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-0930-7

  • Online ISBN: 978-1-4684-0928-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics