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.
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References and Footnotes
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.
We are thus tacitly assuming ‘hidden’ colour for the quarks.
P.J. Litchfield, Review talk at the London Conference (17th Int. Conf. on High Energy Physics, London 1974, ed. J.R, Smith).
R.J. Hemingway, Talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975; and P. Lamb private communication.
O.W. Greenberg, Phys. Rev. Letts 13 (1964) 598; R.H. Dalitz, Les Houches Lectures 1965 p. 253 (Gordon and Breach, New York, 1965).
R. Horgan, Nuclear Physics B71 (1974) 514.
W.D. Apel et al., Physics Letters 57B (1975) 398.
W. Blum et al., Physics Letters 57B (1975) 403.
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.
U. Kruse, Review talk in Daresbury Study Weekend No. 8, 1975.
E.L. Berger, Review talk in Daresbury Study Weekend No. 8, 1975.
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.
F. Wagner, contribution to Daresbury Study Weekend No. 8, 1975 - but see also D.J. Crennell’s contribution.
See for example, G. Kane, talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975.
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.
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.
J.S. Bell and A.J.G. Hey, Phys. Letters 51B (1974) 365.
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.
H.J. Melosh, Phys. Rev. D9 (1974) 1095.
F.J. Gilman, M. Kugler, and S. Meshkov, Phys. Rev. D9 (1974) 715.
A.J.G. Hey, J.L. Rosner and J. Weyers, Nucl. Phys, B61 (1973) 205.
A.J.G. Hey and J. Weyers, Phys. Lett. 48B (1974) 69.
F.J, Gilman and I. Karliner, Phys. Rev. D10 (1974) 2194.
F.E. Close, H. Osborn and A. Thomson, Nucl. Phys. B77 (1974) 28l.
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).
H.J. Lipkin, Phys. Rev. D2 (1974) 1579.
H. Burkhardt and A.J.G. Hey, Birmingham and Southampton Preprint 1975.
This was emphasized by R.G. Moorhouse, Talk at London Conference 1974.
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).
A.J.G. Hey, P.J. Litchfield and R.J. Cashmore, CERN Preprint TH - 1886, to be published in Nuclear Physics B (1975).
D. Faiman and D.E. Plane, Nucl. Phys. B50 (1972) 379.
M. Jones, R. Levi Setti and T. Lasinski, Nuovo Cimento 19A (1974) 365.
For further discussion, see R.H. Dalitz, talk at the Argonne Summer Symposium on “New Directions in Hadron Spectroscopy”, July 1975.
D. Faiman and J. Rosner, Phys. Lett. 45B (1973) 357; F. J. Gilman, M. Kugler and S. Meshkov, Phys. Lett. 45B (1973) 48l.
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).
R.S. Longacre et al., SLAC-PUB-1390 (Rev), to be published in Physics Letters.
J. Prevost et al., Nucl. Phys. B64 (1974), 246.
R.J. Cashmore, frequently repeated private communication.
A. Le Yaouanc et al., Phys. Rev. D8 (1973) 2223; ibid. D11 (1975) 1272.
R.P. Feynman, M. Kislinger and F. Ravndal, Phys. Rev. D3 (1971) 2706.
This is pointed out by J. Rosner, ref. 1.
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.
See for example, C. Heusch and F. Ravndal, Phys. Rev. Lett. 25 (1970) 253.
W.J. Metcalf and R.L. Walker, Nuclear Phys. B76 (1974) 253; R.L. Walker, Phys. Rev. 182 (1969) 1729.
J. Babcock and J.L. Rosner, Cal Tech Preprint CALT-68-I+85 (1975).
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).
R.C.E. Devenish, D.H. Lyth and W. Rankin, Phys. Letters 52B (1974) 227.
See our Table 3 and also Table 18 of ref. 1+5.
J.L. Rosner and W.P. Petersen, Phys. Rev. D7 (1973) 747.
R.G. Moorhouse, Rapporteur’s talk at Palermo Conf. 1975.
R. Carlitz and J. Weyers, Phys. Lett. 56B (1975) 154.
D. Faiman, Weizmann Institute preprint WIS-7l+/7-Ph.
See for example R.G. Moorhouse and N. Parsons,Phys. Lett. 1+7B (1973) 2l+; and D. Faiman, Phys. Lett. 1+9B (1974) 365.
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.
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.
The possibility of mixing is ignored in this “first approximation” analysis.
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.
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.
C. Bemporad, invited talk at the 1975 Int. Symposium on Lepton and Photon Interactions at High Energy, Stanford, Aug. 21–27 1975.
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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
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