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Prog. Theor. Phys. Vol. 42 No. 5 (1969) pp. 1151-1165

[ Full Text PDF : FREE ACCESS (778K) ]

Pseudoscalar-Vector Scattering and the Nonet Scheme in the Veneziano Model

Kiyomi Itabashi, Yasutsugu Kohsaka, Shogo Miyake and Fujio Takagi

Department of Physics, Tohoku University, Sendai

(Received August 3, 1969)

Abstract:

The Veneziano-type amplitudes for P8V9 →P8V9 and P8P8 →P8V9 scattering are constructed. From these amplitudes, several sum rules for the V9P8P8, V9V9P8, T9P8P8 and T9V9P8 coupling constants are obtained, which are consistent with the SU(3) symmetry and Okubo's nonet ansatz. In particular the universality relation gρππ = 2gρKK is obtained. Here P8, V9 and T9 denote the pseudoscalar meson octet, the vector and the tensor meson nonets, respectively. An exchange degeneracy scheme for meson trajectories is proposed; αP8 + 1 = αA8 + 1 and αV9, αT9, where α means the trajectory function. In the case of P8V9 →P8V9, a problem on parity doubling is discussed briefly.


URL : http://ptp.ipap.jp/link?PTP/42/1151/
DOI : 10.1143/PTP.42.1151

[ Full Text PDF : FREE ACCESS (778K) ] Citation:

References:

  1. G. Veneziano, Nuovo Cim. A 57 (1968), 190.
  2. C. Lovelace, Phys. Lett. B 28 (1968), 264[CrossRef].
  3. K. Kawarabayashi, S. Kitakado and H. Yabuki, Phys. Lett. B 28 (1969), 432[CrossRef].
    N. Tokuda, Prog. Theor. Phys. 41 (1969), 853[PTP].
  4. F. Takagi, Prog. Theor. Phys. 41 (1969), 1555[PTP].
  5. K. Igi, Phys. Lett. B 28 (1968), 330[CrossRef].
    T. Inami, University of Tokyo preprint.
    O. Miyamura, Prog. Theor. Phys. 42 (1969), 305[PTP].
    M. A. Virasoro, University of Wisconsin preprint.
    R. F. Amann, preprint ERI 69-13.
  6. S. Hori, Prog. Theor. Phys. 41 (1969), 1601[PTP].
    C. J. Goebel and B. Sakita, Phys. Rev. Lett. 22 (1969), 257[APS].
    Chan Hong-Mo, Phys. Lett. B 28 (1969), 425[CrossRef].
  7. K. Bardakci and H. Ruegg, Phys. Lett. B 28 (1969), 671[CrossRef].
  8. S. Miyake and T. Akiba, Prog. Theor. Phys. 42 (1969), 132[PTP].
    A. Toda, Tohoku University preprint TU/69/43.
    Y. Oyanagi, University of Tokyo preprint UT-19.
  9. K. Kawarabayashi, S. Kitakado and H. Yabuki, Lett. al Nuovo Cim. 1 (1969), 564.
  10. P. G. O. Freund and E. Schonberg, Phys. Lett. B 28 (1969), 600[CrossRef].
    E. S. Abers and V. L. Teplitz, Phys. Rev. Lett. 22 (1969), 909[APS].
  11. O. Miyamura and F. Takagi, Prog. Theor. Phys. 40 (1968), 179[PTP].
  12. S. Matsuda, Prog. Theor. Phys. 37 (1967), 1286[PTP].
  13. K. Itabashi, Tohoku University preprint TU/69/45.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 114-124 :
    Non-Zero Mass Gauge Condition and the Veneziano Model
    Kiyomi Itabashi
  2. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 742-768 :
    On the Application of the Veneziano Amplitude to Electromagnetic Mass Differences of π and K Mesons
    Toshiyuki Minamikawa, Ichiro Shibasaki and Tsunetoshi Watanabe
  3. Progress of Theoretical Physics Vol. 44 No. 6 (1970) pp. 1661-1672 :
    Pseudoscalar-Vector Meson Scattering Amplitude Reduced from Six-Point Veneziano Model
    Yasunori Miyata
  4. Progress of Theoretical Physics Vol. 45 No. 3 (1971) pp. 984-986 :
    On Veneziano's Constraints
    Yasunori Miyata
  5. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 475-489 :
    Dual Amplitudes for πN →ρN
    A. Roy Chowdhury

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