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Prog. Theor. Phys. Vol. 60 No. 2 (1978) pp. 500-512

[ Full Text PDF : FREE ACCESS (904K) ]

Models of the Baryon and the Planar Bootstrap Condition

Akihiro Nakamura

Department of Physics, Nagoya University, Nagoya 464

(Received February 27, 1978)

Abstract:

In the framework of the 1/N expansion, we investigate whether models of the baryon satisfy the planar bootstrap condition. There are some sets of planar diagrams which give rise to the discontinuities in the nonplanar channels when three sheets of membranes of the Y-shaped baryon can emit or absorb meson membrane. It is shown that this kind of planar diagrams, which may be said potentially nonplanar, violates the planar bootstrap condition. On the other hand, if any one of the baryon membranes is inactive, it turns out that the potentially nonplanar diagrams are no longer allowed. This has a consequence that the planar bootstrap condition is exactly obeyed for the “linear” baryons.


URL : http://ptp.ipap.jp/link?PTP/60/500/
DOI : 10.1143/PTP.60.500

[ Full Text PDF : FREE ACCESS (904K) ] Citation:

References:

  1. S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
    G. Zweing, CERN report S419/TH. 412 (1964), unpublished.
    J. Iizuka, K. Okada and O. Shito, Prog. Theor. Phys. 35 (1966), 1061[PTP].
  2. G. Veneziano, Phys. Lett. B 52 (1974), 220[CrossRef]; Nucl. Phys. B 74 (1974), 365[CrossRef].
    M. Ciafaloni, G. Marchesini and G. Veneziano, Nucl. Phys. B 98 (1975), 472[CrossRef]; ibid. 98 (1975), 493[CrossRef].
  3. H. M. Chan, J. E. Paton and T. S. Tsun, Nucl. Phys. B 86 (1975), 479[CrossRef].
    H. M. Chan, J. E. Paton, T. S. Tsun and S. W. Ng, Nucl. Phys. B 92 (1975), 13[CrossRef].
  4. For a review of DTU, see G. F. Chew and C. Rosenzweig, LBL-6783.
  5. H. Lee, Phys. Rev. Lett. 30 (1973), 719[APS].
    G. Veneziano, Phys. Lett. B 43 (1973), 413[CrossRef].
    See, Refs. 2) and 3)
    N. Sakai, Nucl. Phys. B 99 (1975), 167[CrossRef].
    G. F. Chew and C. Rosenzweig, Phys. Lett. B 58 (1975), 93[CrossRef]; Phys. Rev. D 12 (1975), 3907[APS].
    C. Schmidt and C. Sorensen, Nucl. Phys. B 96 (1975), 209[CrossRef].
    N. Papadopoulos, C. Schmid, C. Sorensen and D. M. Webber, Nucl. Phys. B 101 (1975), 189[CrossRef].
    G. Veneziano, Nucl. Phys. B 108 (1976), 285[CrossRef].
    For slope arguments, see Refs. 1) and 20).
    L. A. Balazs, Phys. Rev. D 15 (1977), 309[APS]; ibid. 15 (1977), 319[APS].
    H. Minakata, TMUP-HEL-801.
  6. C. Schmidt, D. M. Webber and C. Sorensen, Nucl. Phys. B 111 (1976), 317[CrossRef].
    G. F. Chew and C. Rosenzweig, Nucl. Phys. B 104 (1976), 290[CrossRef].
    H. M. Chan, J. Kwiecinski and R. G. Roberts, Phys. Lett. B 60 (1976), 367[CrossRef].
    H. M. Chan, K. Konishi and R. G. Roberts, Phys. Lett. B 60 (1976), 469[CrossRef].
    T. Inami, K. Kawarabayashi and S. Kitakado, Prog. Theor. Phys. 56 (1977), 1570[PTP].
    E. L. Berger and C. Sorensen, Phys. Lett. B 62 (1976), 303[CrossRef].
    M. Fukugita, T. Inami, N. Sakai and S. Yazaki, Phys. Lett. B 68 (1977), 251[CrossRef].
  7. J. Ushersohn, Nucl. Phys. B 114 (1976), 137[CrossRef].
    H. M. Chan, K. Konishi, J. Kwiecinski and R. G. Roberts, Phys. Lett. B 63 (1976), 441[CrossRef].
    Y. Eylon, Nucl. Phys. B 118 (1977), 95[CrossRef]; ibid. 118 (1977), 119[CrossRef].
    K. Konishi and J. Kwiecinski, Nucl. Phys. B 119 (1977), 210[CrossRef].
    M. Fukugita, T. Inami, N. Sakai and S. Yazaki, Nucl. Phys. B 121 (1977), 93[CrossRef].
    C. Sorensen and D. M. Webber, Nucl. Phys. B 122 (1977), 331[CrossRef].
  8. H. P. Staap, Lett. Nuovo Cim. 19 (1977), 622.
    F. J. Capra, Phys. Lett. B 68 (1977), 93[CrossRef].
  9. K. Konishi, Nucl. Phys. B 131 (1977), 143[CrossRef].
  10. X. Artru, Nucl. Phys. B 85 (1975), 442[CrossRef].
  11. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 52 (1974), 341[PTP]; ibid. 54 (1975), 280[PTP]; ibid. 55 (1976), 551[PTP]; ibid. 55 (1976), 1211[PTP]; ibid. 57 (1977), 517[PTP].
    Y. Eylon and H. Harari, Nucl. Phys. B 80 (1970), 349[CrossRef].
    This paper had been written before Veneziano proposed the topological expansion. There, the universality gM = gB was assumed (see §3 and also Ref. 12)).
  12. B. R. Webber, Phys. Lett. B 62 (1976), 449[CrossRef].
  13. H. M. Chan and S. T. Tsou, Nucl. Phys. B 118 (1977), 413[CrossRef].
  14. F. Toyoda and M. Uehara, Prog. Theor. Phys. 58 (1977), 1456[PTP].
  15. T. Inami, K. Kawarabayashi and S. Kitakado, Phys. Lett. B 72 (1977), 127[CrossRef].
  16. C. Rosenzweig, Phys. Lett. B 71 (1977), 203[CrossRef].
  17. C. Schimidt and C. Sorensen, in Ref. 5).
    Y. Eylon, in Ref. 7).
  18. Y. Eylon and J. Finkelstein, Nucl. Phys. B 127 (1977), 141[CrossRef].
  19. The channel in which the external quark lines intersect is nonplanar. The discontinuity in that channel should be vanished, even under the presence of exotic state, once the EXD is proved in the region (I).
  20. The suppression of baryon-antibaryon pair production does not immediately mean the smallness of the value κ, but it may give the lower limit. See the analysis in Ref. 14) and also M. Antinucci et al., Lett. Nuovo Cim. 6 (1973), 121.
  21. T. Eguchi, Nucl. Phys. B 60 (1973), 277[CrossRef].
    M. Fukugita, University of Tokyo preprint UT-200 (1973).
  22. The diagram in Fig. 10(b) is not planar due to (C). There are other possibilities, for the meson exchange diagrams, corresponding to the varieties of topological expansions.
  23. G. Veneziano, Nucl. Phys. B 117 (1976), 519[CrossRef].
    G. C. Rossi and G. Veneziano, Nucl. Phys. B 123 (1977), 507[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1137-1149 :
    Decays of M2 Baryonium States and a New Scheme of Baryonium Assignment
    Masayuki Uehara
  2. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1723-1737 :
    Electroproduction of a Meson and Correlating Quark Rearrangement Model
    Kazuyoshi Izawa

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