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Prog. Theor. Phys. Vol. 51 No. 5 (1974) pp. 1521-1540

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Hadron Resonances and Lightlike Chiral Algebra

Masakuni Ida

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received December 5, 1973)

Abstract:

Problems concerning hadron resonances are investigated under two basic assumptions, lightlike chiral algebra SU(3)l ⊗SU(3)l and the partially conserved axial-vector current hypothesis. In terms of the partial-wave expansion of lightlike axial charges, two kinds of supermultiplets (chiral and SU(6)S-like) and their mixing are considered. Analyses of various pionic decays of mesons are made together with the study of meson spectrum. They imply the usefulness of lightlike chiral algebra in finding new regularities of hadron resonances.


URL : http://ptp.ipap.jp/link?PTP/51/1521/
DOI : 10.1143/PTP.51.1521

[ Full Text PDF : FREE ACCESS (1602K) ] Citation:

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References:

  1. F. Gürsey and L. A. Radicati, Phys. Rev. Lett. 13 (1964), 173[APS].
    B. Sakita, Phys. Rev. 136 (1964), B1756[APS].
    J. Iizuka, Prog. Theor. Phys. 35 (1966), 117[PTP]; ibid. 35 (1966), 309[PTP]; ibid. 35 (1966), 1061[PTP].
    For further references see R. H. Dalitz, Proceedings of the 13th International Conference on High Energy Physics, Berkeley 1966 (Univ. of California Press, 1967), p. 215.
  2. H. J. Lipkin and S. Meshkov, Phys. Rev. Lett. 14 (1965), 670[APS].
  3. M. Gell-Mann, Physics 1 (1964), 63.
  4. J. Goldstone, Nuovo Cim. 19 (1961), 154.
    J. Goldstone, A. Salam and S. Weinberg, Phys. Rev. 127 (1962), 965[APS].
    Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS]; ibid. 124 (1961), 246[APS].
  5. M. Ida, Prog. Theor. Phys. 48 (1972), 2346[PTP]; ibid. 49 (1973), 1259[PTP].
  6. J. Jersák and J. Stern, Nucl. Phys. B 7 (1968), 413[CrossRef]; Nuovo Cim. 59 (1969), 315.
    H. Leutwyler, Acta Phys. Austr. Suppl. 5 (1968), 320.
  7. For an excellent summary of lightlike chiral algebra, see H. Leutwyler, Springer Tracts Mod. Phys. 50 (1969), 29.
  8. K. Bardakci and G. Segré, Phys. Rev. 159 (1967), 1263[APS].
    L. Susskind, Phys. Rev. 165 (1967), 1535[APS].
  9. M. Gell-Mann and M. Lévy, Nuovo Cim. 16 (1960), 705.
    R. Dashen, Phys. Rev. 183 (1969), 1245[APS].
  10. S. Adler, Phys. Rev. 140 (1965), B736[APS].
    W. I. Weisberger, Phys. Rev. 143 (1966), 1302[APS].
  11. S. Weinberg, Phys. Rev. Lett. 18 (1967), 507[APS].
  12. F. J. Gilman and H. Harari, Phys. Rev. 165 (1968), 1803[APS].
  13. S. Weinberg, Phys. Rev. 177 (1969), 2604[APS].
  14. A. Casher and L. Susskind, Phys. Lett. B 44 (1973), 171[CrossRef].
    C. Boldrighini, F. Buccella, E. Celeghini, E. Sorace and L. Triolo, Nucl. Phys. B 22 (1970), 651[CrossRef].
  15. S. Coleman, J. Math. Phys. 7 (1966), 787[CrossRef].
  16. R. Jackiw, Springer Tracts Mod. Phys. 62 (1972), 1.
  17. S. Fubini and G. Furlan, Physics 1 (1965), 229.
  18. D. A. Dicus, R. Jackiw and V. L. Teplitz, Phys. Rev. D 4 (1971), 1733[APS].
  19. Y. Ne'eman, Algebraic Theory of Particle Physics (Benjamin, New York, 1967).
  20. S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
  21. Particle Data Group, Rev. Mod. Phys. 45 (1973), S1[APS].
  22. K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16 (1956), 255[APS].
    Riazuddin and Fayyazuddin, Phys. Rev. 47 (1966), 1071[APS].
  23. D. A. Geffen, Phys. Rev. Lett. 19 (1967), 770[APS].
  24. M. Gell-Mann, D. Sharp and W. G. Wagner, Phys. Rev. Lett. 8 (1962), 261[APS].
    S. Hori, S. Oneda, S. Chiba and H. Hiraki, Phys. Lett. 1 (1962), 81[CrossRef].
  25. G. Ascoli, H. B. Crawley, D. W. Mortara and A. Shapiro, Phys. Rev. Lett. 20 (1968), 1411 [APS][ Errata; 21 (1968), 126[APS]].
  26. J. J. Sakurai, Ann. of Phys. 11 (1960), 1[CrossRef].
  27. K. Morita, Lett. Nuovo Cim. 4 (1970), 977.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1274-1287 :
    Duality Constraints and Representation Mixings in Light-Like Chiral Algebra
    Takahisa Kuroiwa, Koichi Yamawaki and Taichiro Kugo
  2. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1583-1600 :
    Baryon Resonances and Lightlike Chiral Algebra
    Masakuni Ida, Toshihiko Tajima and Koichi Yamawaki
  3. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 544-564 :
    A New Approach to Relativistic Composite Model of Hadrons. I
    Masako Bando, Taichiro Kugo and Sho Tanaka
  4. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1865-1866 :
    Mass Relations in Lightlike Chiral Algebra
    Tadao Sugiyama
  5. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1199-1212 :
    Quantization Quark Fields on a Lightlike Plane
    Masakuni Ida
  6. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1519-1531 :
    A Lightlike Formulation of the Quark Model
    Masakuni Ida
  7. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1775-1787 :
    A Dual Picture for Meson Resonances in Terms of Two Limiting Symmetries
    Masakuni Ida
  8. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 922-928 :
    Some Remarks on Null-Plane Quantization
    Tsuneo Suzuki, Seiichi Tameike and Eiji Yamada
  9. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1582-1590 :
    Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons
    Akira Toyoda, Sin-ya Furui, Tetsuya Tsuchida and Mitsuo Imoto
  10. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1606-1618 :
    The Kinematical Structure of Lightlike Wave Functions
    Masakuni Ida and Haruichi Yabuki
  11. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1600-1612 :
    Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. II
    Shin-ya Furui, Akira Toyoda and Tetsuya Tsuchida
  12. Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1485-1489 :
    Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. III
    Shin-ya Furui and Tetsuya Tsuchida
  13. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 583-592 :
    The Decay Constants of New Pseudoscalar Mesons
    Masakuni Ida
  14. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 821-833 :
    New Sum Rules from the Current Anticommutator on the Null-Plane
    Susumu Koretune
  15. Progress of Theoretical Physics Vol. 105 No. 4 (2001) pp. 537-571 :
    Light-Front Realization of Chiral Symmetry Breaking
    Kazunori Itakura and Shinji Maedan

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