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Prog. Theor. Phys. Vol. 120 No. 4 (2008) pp. 723-739

[ Full Text PDF : FREE ACCESS (299K) ]

String Junction Model, Cluster Hypothesis, Penta-Quark Baryon and Tetra-Quark Meson

Masahiro Imachi,1,* Shoichiro Otsuki2,** and Fumihiko Toyoda3,***

1Kashiidai 2-14-11, Fukuoka 813-0014, Japan
2Miwadai 3-17-7, Fukuoka 811-0212, Japan
3Department of Electrical and Communication Engineering,
Kinki University of School of Humanity-Oriented Science and Engineering,
Fukuoka 820-8555, Japan

(Received December 7, 2007)

Abstract:

Thirty years ago we proposed string junction model of hadrons and examined structure and reaction of hadrons including exotic ones. Mass m of exotic hadrons of light quarks is roughly given by m ∼NJ ·mB, where NJ is the total number of junctions and mB ∼1 GeV is the ordinary light baryon mass. In this paper we introduce “cluster hypothesis" into the model by which mass of a complex hadron is given by the sum of masses of clusters composing it. The hypothesis guarantees the established picture that mass differences of hadrons of the same string junction structure are due to those of the constituent quarks.
A candidate for penta-quark baryon Θ (1530 MeV, S = +1) including a strange anti-quark \overlines and that for tetra-quark meson Z+ (4430 MeV) recently reported by the Belle collaboration are examined in parallel. Θ is considered to have non-strange partners, which are lighter by the mass difference Δs between strange and non-strange quarks. Mass of such light penta-quark baryons with NJ = 3 is expected to be about 3 GeV. Several parameters of the model are estimated such as mass of junction of mJ ∼O(10) MeV. While mass of light tetra-quark meson with NJ = 2 is expected to be about 2 GeV, Z+ (4430 MeV) containing (u,c,\overlined, \overlinec) gives a clue to determine some parameters of the model, e.g., inter-junction string energy mIJ.


URL : http://ptp.ipap.jp/link?PTP/120/723/
DOI : 10.1143/PTP.120.723


*E-mail: masaimac@tkg.bbiq.jp
**E-mail: otk-s1ro@topaz.ocn.ne.jp
***E-mail:ftoyoda@fuk.kindai.ac.jp

[ Full Text PDF : FREE ACCESS (299K) ] Citation:

References:

  1. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 54 (1975), 280[PTP].
  2. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 55 (1976), 551[PTP]; Prog. Theor. Phys. 57 (1977), 517[PTP].
  3. According to B. Sakita, baryon with junction was first written in the Christmas greeting card of Y. Nambu around 1972, Sakata Model 25th anniversary held in Nagoya University, Soryushiron Kenkyu 63 (1981), S50.
    Y. Nambu, Butsuri 28 (1973), 452.
  4. X. Artru, Nucl. Phys. B 85 (1975), 442[CrossRef].
  5. G. C. Rossi and G. Veneziano, Nucl. Phys. B 123 (1977), 507[CrossRef].
  6. T. Nakano et al., Phys. Rev. Lett. 91 (2003), 012002[APS].
  7. The Belle Collaboration, arXiv:0708.1790v2[e-print arXiv]; Phys. Rev. Lett. 100 (2008), 142001[APS].
  8. M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
  9. S. Okubo, Prog. Theor. Phys. 27 (1962), 949[PTP].
  10. D. Diakonov, V. Petrov and M. Polyakov, Z. Phys. A 359 (1997), 305; hep-ph/9703373[e-print arXiv].
  11. M. Praszalowicz, in Skyrmions and Anomalies, ed. M. Jesabeck and M. Praszalowicz (World Scientific, 1987), p. 112.
  12. R. Jaffe and F. Wilczek, Phys. Rev. Lett. 91 (2003), 232003[APS]; hep-ph/0307341[e-print arXiv].
  13. P. G. O. Freund, R. Waltz and J. Rosner, Nucl. Phys. B 13 (1969), 237[CrossRef].
  14. M. Imachi and S. Otsuki, Prog. Theor. Phys. 58 (1977), 1657[PTP].
  15. S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
  16. G. Zweig, CERN-TH401 (1964); CERN-TH412 (1964).
  17. J. Iizuka, K. Okada and O. Shito, Prog. Theor. Phys. 35 (1966), 1061[PTP].
  18. M. Imachi and S. Otsuki, Prog. Theor. Phys. 58 (1977), 1660[PTP]; Prog. Theor. Phys. 59 (1978), 1290[PTP].
  19. M. Imachi, “Prospect of Fundamental Physics" (25th anniversary of YITP) (YITP, Kyoto, 1978), p. 13.
  20. M. Imachi, Butsuri 33 (1978), 207.
  21. M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 40 (1968), 353[PTP].
  22. J. D. Jackson, Rev. Mod. Phys. 42 (1970), 12[APS].
  23. K. Igi and S. Matsuda, Phys. Rev. Lett. 18 (1967), 625[APS].
  24. R. Dolen, D. Horn and C. Schmid, Phys. Rev. Lett. 19 (1967), 402[APS].
  25. G. Veneziano, Nuovo. Cim. 57 (1968), 190.
  26. Y. Eylon and H. Harari, Nucl. Phys. B 80 (1974), 349[CrossRef].
  27. G. 't Hooft, Nucl. Phys. B 72 (1974), 461[CrossRef].
  28. E. Witten, Nucl. Phys. B 160 (1979), 57[CrossRef].
  29. M. Imachi, S. Otsuki and F. Toyoda, Prog. Theor. Phys. 66 (1981), 1108[PTP].
  30. Y. Igarashi, M. Imachi, T. Matsuoka, K. Ninomiya S. Otsuki, S. Sawada and F. Toyoda, Prog. Theor. Phys. Suppl. No. 63 (1978), 49[PTP].
  31. Y. Imamura, Prog. Theor. Phys. 115 (2006), 815[PTP].
  32. K. Ghoroku and M. Ishihara, Phys. Rev. D 77 (2008), 086003[APS].
  33. F. Okiharu, H. Suganuma and T. T. Takahashi, Phys. Rev. Lett. 94 (2005), 192001[APS].
  34. F. Okiharu, H. Suganuma and T. T. Takahashi, Phys. Rev. D 72 (2005), 014505[APS].
  35. C. Alexandrou and G. Koutsou, Phys. Rev. D 71 (2005), 014504[APS]; hep-lat/0407005[e-print arXiv].
  36. R. Tamagaki, Soryushiron Kenkyu 115 (2007), 37; arXiv:0801.2289v1[e-print arXiv]; Prog. Theor. Phys. 119 (2008), 965[PTP].

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