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Volumn 32, Issue 1, 1985, Pages 189-231

Mesons in a relativized quark model with chromodynamics

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Indexed keywords


EID: 4243827703     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.32.189     Document Type: Article
Times cited : (3183)

References (221)
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    • E. Eichten in Experimental Meson Spectroscopy—1980, proceedings of the Sixth International Conference, Brookhaven, edited by S. U. Chung and S. J. Lindenbaum (AIP, New York, 1981), p. 387;
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    • was a seminal paper for the application of potential-model ideas to light quarks. For reviews of this general area, see N. Isgur, in The New Aspects of Subnuclear Physics, proceedings of the XVI International School of Subnuclear Physics, Erice, 1978, edited by A. Zichichi (Plenum, New York, 1980), p. 107;
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    • J. Rosner, in Techniques and Concepts of High Energy Physics, proceedings of the NATO Advanced Study Institute, St. Croix, 1980, edited by T. Ferbel (Plenum, New York, 1981);
  • 20
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    • While our model is unique, it shares many features with the (vast) literature on this subject. It is especially close in spirit to the excellent work of, Phys. Rev. D 21, 3180 (1980), although quite different in detail, and also to the recent work of, ibid.
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    • Spectroscopy of atomlike mesons Q in the Dirac equation with logarithmic confining potential
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    • see also Ref. 10.
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    • The status of the E is in a state of flux as the old E was partly the newly discovered pseudoscalar state at 1.44 GeV (see Sec. V A). Ph. Gavillet et al. [, ] have recently argued that the residual 1++ signal in the 1+S( KstarK¯+cc ) wave is not resonant and that the true E is an object they call D prime at 1.53 +- 0.01 GeV with a width of 0.11 +- 0.02 GeV. In view of these developments, we do not show an experimental value for the E mass in Fig. 5, nor do we take too seriously the experimental E widths of Table V.
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    • Our potential turns out to be quite similar to others which have appeared previously, mainly in the context of heavy-quark spectroscopy. See, e.g.
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    • see also Ref. 4.
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    • R. Koniuk in Baryon 1980, proceedings of the IVth International Conference on Baryon Resonances, Toronto, edited by N. Isgur (University of Toronto, Toronto, 1981), p. 217.
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    • W. Hoogland, in New Flavors and Hadron Spectroscopy, proceedings of the XVI Rencontre de Moriond, Les Arcs, France, 1981, edited by J. Tr a hat_n Thanh V a hat_n (Editions Frontie`res, Dreux, France, 1981), p. 209;
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    • 81, 710 (1951) to transform Eq. (22) into ordinary dipole form. We owe our appreciation of the importance of this theorem to, and private communication. Our results are quite similar to theirs.
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    • and also the more recent work by R. McClary and N. Byers, UCLA Report No. UCLA/TEP/83/15 (unpublished).
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    • D. Berg et al.., in Experimental Meson Spectroscopy—1983, proceedings of the Seventh International Conference, Brookhaven, edited by S. J. Lindenbaum (AIP, New York, 1984), p. 157.
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    • we presume because a handwritten European 11 was transcribed into 77.
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    • The possibility that iota(1440) is a glueball has been widely discussed. H. J. Lipkin in
    • The possibility that iota(1440) is a glueball has been widely discussed. H. J. Lipkin in Phys. Lett. 106B, 114 (1981)
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    • argue for the interpretation of iota(1440) as a $qq¯ radial excitation, although not exactly as outlined in the text.
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    • See Gault and Rimmer and also Rimmer in Ref. 5 for a similar discussion. The glueball interpretation has been strongly advocated by
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    • in Strong Interactions, proceedings of the 9th SLAC Summer Institute on Particle Physics, 1981, edited by Anne Mosher (SLAC Report No. 245, 1982);
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    • and in Particles and Fields—1981: Testing the Standard Model, proceedings of the Annual Meeting of the Division of Particles and Fields of the APS, Santa Cruz, California, edited by C. A. Heusch and W. T. Kirk (AIP, New York, 1982), p. 85.
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    • T. Barnes in New Flavors and Hadron Spectroscopy (Ref. 15), p. 175;
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    • We are grateful to Gabriel Karl for pointing this out to us.
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    • For another possibility (which could be in effect in parallel to ours) see
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    • see also Refs. 37 and 38.
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    • Our suggestion here has much in common with the analysis of A. B. Wicklund in New Flavors and Hadron Spectroscopy (Ref. 15), p. 339;
  • 206
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    • Preliminary results from this work have been quoted by one of us (N.I.) in New Flavors and Hadron Spectroscopy (Ref. 15), p. 247, and in Particles and Fields—1981: Testing the Standard Model (Ref. 29), p. 1. A more complete account of this work will appear shortly in the University of Toronto Ph.D. thesis of S.G.
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    • Variants of this approach (e.g., use of the Bethe-Salpeter equation) have been used by many authors to derive relativistic corrections:
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    • W. Celmaster and F. Henyey in Ref. 4;
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    • and in Refs. 4 and 32;
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    • A. B. Henriques, B. H. Kellet, and R. G. Moorhouse in Ref. 4;
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    • and in Baryon 1980 (Ref. 11), p. 203;
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    • Our picture of this interaction is that of the flux-tube model where the long-range force arises continuously out of the color-electric potential but is, unlike the short-range force, spin independent. Although such a potential is simple nonrelativistically, it cannot easily be fully represented relativistically since we are asking that it have the JPC properties of a γ0γ0 interaction, namely, 0++ overall but 0+- (an exotic combination) at each vertex. We can therefore use the interaction to derive the Thomas-precession interaction but we must impose the vertex properties under $q <->q¯ (relevant for meson-baryon connections) by hand.


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