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Prog. Theor. Phys. Vol. 101 No. 3 (1999) pp. 661-669

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Possible Classification of the Chiral Scalar σ-Nonet

Muneyuki Ishida

Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

(Received July 22, 1998)

Abstract:

We recently observed the iso-singlet scalar σ(600)-particle and the iso-doublet scalar κ(900)-particle, through the re-analyses of ππ- and Kπ-scattering phase shifts, respectively. First, assuming the two iso-singlet states, the σ(600) and the established f0(980), being the ideal mixing states n\barn and s\bars, respectively, of a single scalar nonet, it is pointed out that the mass value of the iso-singlet flavor-octet state, obtained from the orthogonal transformation, satisfies, together with the κ(900) and the iso-triplet scalar a0(980)-particle, the Gell-Mann Okubo mass-formula. Furthermore, it is argued that, by investigating their properties of masses and widths, this scalar σ-nonet, together with the pseudo-scalar π-nonet, realizes the linear representation of SU(3) chiral symmetry.


URL : http://ptp.ipap.jp/link?PTP/101/661/
DOI : 10.1143/PTP.101.661

[ Full Text PDF : FREE ACCESS (149K) ] Citation:


References:

  1. S. Ishida, M. Y. Ishida, H. Takahashi, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 95 (1996), 745[PTP].
  2. S. Ishida, T. Ishida, M. Y. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 98 (1997), 1005[PTP].
  3. Plenary talk of S. Ishida on “On Existence of σ(600)-Particle – Its Physical Implications and Related Problems –", in Proc. of Int. Conf. on Hadron 97, Brookhaven National Laboratory, ed. S. U. Chung and H. J. Willutzki, AIP conference proceedings 432, Upton, NY, 1997.
  4. S. Ishida, M. Y. Ishida, T. Ishida, K. Takamatsu and T.Tsuru, “Re-analysis of ππ/Kπ-phase shift and Existence of σ(600)/κ(900)-Particle," in Proc. of Int. Conf. on Hadron 97, ed. S. U. Chung and H. J. Willutzki, AIP conference proceedings 432, Upton, NY, 1997.
  5. S. Ishida, M. Y. Ishida, T. Ishida, K. Takamatsu and T. Tsuru, Prog. Theor. Phys. 98 (1997), 621[PTP].
  6. N. N. Achasov and G. N. Shestakov, Phys. Rev. D49 (1994), 5779[APS].
  7. R. Kamiński, L. Leśniak and J.-P. Maillet, Phys. Rev. D50 (1994), 3145[APS].
  8. N. A. Törnqvist, Z. Phys. C68 (1995), 647.
    N. A. Törnqvist and M. Roos, Phys. Rev. Lett. 76 (1996), 1575[APS].
  9. M. Harada and F. Sannino and J. Schechter, Phys. Rev. D54 (1996), 1991[APS].
  10. E. Beveren, T. A. Rijken, K. Metzger, C. Dullemond, G. Rupp and J. E. Ribeiro, Z. Phys. C30 (1986), 615.
  11. D. Morgan, “Status of the 0+ Nonet”, Proc. of Argonne conf. 1975, p. 45.
  12. K. L. Au, D. Morgan and M. R. Pennington, Phys. Rev. D35 (1987), 1633[APS].
    D. Morgan and M. R. Pennington, Phys. Rev. D48 (1993), 1185[APS].
  13. M. R. Pennington, in Proc. of Int. Conf. Hadron '95, Manchester, UK, July 1995 (World Scientific, Singapore), p. 3.
  14. G. Grayer et al., Nucl. Phys. B75 (1974), 189.
    B. Hyams et al., Nucl. Phys. B64 (1973), 134.
  15. D. Aston et al., Nucl. Phys. B296 (1988), 493.
    P. Estabrooks et al., Nucl. Phys. B133 (1978), 490.
    N. Awaji, Doctor Thesis of Nagoya University (1986).
  16. M. Y. Ishida and S.Ishida, “Existence of σ(600)/κ(900)-Particle and New Chiral Scalar Nonet, “Chiralons", in Proc. of Int. Conf. on Hadron 97, ed. S. U. Chung and H. J. Willutzki, AIP conference proceedings 432, Upton, NY, 1997.
  17. O. Endo, I. Shimodaya and J. Hiura, Prog. Theor. Phys. 31 (1964), 1157[PTP].
    P. Darriulat, G. Igo, H. G. Pugh and H. D. Holmgren, Phys. Rev. 137 (1965), B315[APS].
  18. M. Taketani et al., Prog. Theor. Phys. Suppl. No. 39 (1990); ibid. No. 42 (1968). In particular see Chapter 7 (S. Otsuki, No. 42, p. 39) and also Chapter 6 (N. Hoshizaki, No. 42, p. 1).
  19. V. G. Neudatchin, Yu. F. Smirnov and R. Tamagaki, Prog. Theor. Phys. 58 (1977), 1072[PTP].
    M. Oka and K. Yazaki, Prog. Theor. Phys. 66 (1981), 556, [PTP]ibid. 66 (1981), 572[PTP].
  20. M. Y. Ishida, Prog. Theor. Phys. 96 (1996), 853[PTP].
  21. J. Schwinger, Ann. of Phys. 2 (1957), 407[CrossRef].
    M. Gell-Mann and M. Lévi, Nuovo Cim. 16 (1960), 705.
  22. G. Kramer, Phys. Rev. 177 (1968), 2515[APS].
  23. J. L. Basdevant and B. W. Lee, Phys. Rev. D2 (1970), 1680[APS].
  24. L. H. Chan and R. W. Haymaker, Phys. Rev. D7 (1973), 402[APS]; ibid. D10 (1974), 4143[APS]; ibid. D10 (1974), 4170[APS].
  25. G. Gasiorowicz and D. A. Geffen, Rev. Mod. Phys. 3 (1969), 531[APS].
  26. S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
    S. Ishida, Prog. Theor. Phys. 32 (1964), 922[PTP].
    G. Zweig, CERN Preprints 8182/TH.401 and 8419/Th.412 (1964) unpublished. [ Symmetries in Elementary Particle Physics (Academic Press, New York, 1965), p. 192.]
  27. M. Y. Ishida, Nucl. Phys. A629 (1998), 148c.
  28. M. D. Scadron, Phys. Rev. D26 (1982), 239[APS]; hep-ph/9710317[e-print arXiv].
    R. Delbourgo and M. D. Scadron, Phys. Rev. Lett. 48 (1982), 379[APS].
    V. Elias and M. D. Scadron, Phys. Rev. Lett. 53 (1984), 1129[APS]; Mod. Phys. Lett. A10 (1995), 251.
  29. J. Weinstein and N. Isgur, Phys. Rev. D27 (1983), 588[APS].
  30. R. L. Jaffe, Phys. Rev. D15 (1977), 267[APS]; ibid. D15 (1977), 281[APS].
  31. S. Weinberg, Physica 96A (1979), 327.
  32. J. Gasser and H. Leutwyler, Ann. of Phys. 158 (1984), 142[CrossRef].; Nucl. Phys. B250 (1985), 465; ibid. B250 (1985), 517.
  33. T. H. R. Skirme, Proc. R. Soc. London Ser. A260 (1961), 127; Nucl. Phys. 31 (1962), 556[CrossRef].
  34. A. Pich, CERN-TH.6978/93; hep-ph/9308351[e-print arXiv]; Proc. of Particle and fields, Guanajuato 1992, p. 95.
  35. J. F. Donoghue, E. Golowich and B. R. Holstein, Dynamics of the Standard Model (Cambridge University Press, 1992).
  36. H. Shimizu, contributed paper on Particle and Nuclei XIII International Conference -PANIC XIII, Perugia, Italy, June 1993.
  37. D. Alde et al., Phys. Lett. B397 (1997), 350.
  38. T. Ishida, in Proceedings of Int. Conf. Hadron '95, Manchester, UK, July 1995 (World Scientific, Singapore), p. 451.
  39. T. Ishida, Doctor thesis, “On Existence of σ(555) Particle – Study in pp-central collision reaction and Re-analysis of ππ-scattering phase shift –," Univ. of Tokyo (1996); KEK Report 97-8 (1997).
  40. J. E. Augstin et al., Nucl. Phys. B320 (1989), 1.
  41. K. Takamatsu, M. Y. Ishida, S. Ishida, T. Ishida and T. Tsuru, “σ-Particle in Production Processes," in Proc. of Int. Conf. on Hadron 97, ed. S. U. Chung and H. J. Willutzki, AIP conference proceedings 432, Upton, NY, 1997.
  42. M. Y. Ishida, S. Ishida and T. Ishida, “Relation Between Scattering and Production Amplitudes – Case of Intermediate σ-Particle in ππ-System –," in Proc. of Int. Conf. on Hadron 97, ed. S. U. Chung and H. J. Willutzki, AIP conference proceedings 432, Upton, NY, 1997.
  43. C. Amsler et al. (Crystall Barrel Collaboration), Phys. Lett. B355 (1995), 425.
  44. E. P. Shabalin, Yadern. Fiz.  41 (1985), 260; ibid. 48 (1988), 272; ibid. 49 (1989), 588 (Sov. J. Nucl. Phys.  42 (1985), 164; ibid. 48 (1988), 172; ibid. 49 (1989), 365.
  45. U. G. Meissner, Comm. Nucl. Part. Phys. 20 (1991), 119.

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