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Prog. Theor. Phys. Vol. 43 No. 3 (1970) pp. 769-788

[ Full Text PDF : FREE ACCESS (1194K) ]

Dualities in Baryon-Antibaryon Scattering

Ken Kawarabayashi, Shinsaku Kitakado and Haruichi Yabuki*

Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Research Institute for Mathematical Sciences, Kyoto University, Kyoto

(Received November 8, 1969)

Abstract:

Discussions are given of possible solutions for the Finite Energy Sum Rules (FESR), applied to baryon-antibaryon scattering, with or without assuming resonances in exotic channels. Exotic resonances, assuming they exist, are classified, as a result of factorization, according to 36-plet, 18-plet, 18-plet and nonet. It is then shown that these mesons are required to obey an equal spacing mass formula and nonet-like couplings, which are direct extensions of the ideal nonet scheme for 1- and 2+ mesons.
When there are no resonances in exotic channels, the idea of duality between ordinary meson resonances is not applicable to baryon-antibaryon scattering. However, by extending the concept of the duality, it is possible to find a solution of the FESR. We construct an explicit formula with such extended duality, where Regge cuts as well as Regge poles appear in the amplitude in question.


URL : http://ptp.ipap.jp/link?PTP/43/769/
DOI : 10.1143/PTP.43.769

[ Full Text PDF : FREE ACCESS (1194K) ] Citation:

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Citing Article(s) :

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    Kazuo Ghoroku, Yasuo Myozyo and Hujio Noda
  2. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 208-227 :
    An Approach to Regge Behaviour and Duality Based on an Infinite Sum of One-Particle-Exchange Amplitudes
    Kisei Kinoshita, Masanori Kobayashi and Kunio Shiga
  3. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 572-588 :
    Extended-Boson Exchange Amplitude Associated with Hydrogen-Like Regge Recurrence
    Tamotsu Ueda
  4. Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 901-907 :
    Dual Resonance Model with Exotic Resonances
    Mitsuo J. Hayashi
  5. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1624-1642 :
    Inclusive Reactions in the Regge Pole Model and Exotic Resonances
    Yasuo Hara
  6. Progress of Theoretical Physics Supplement No.51 (1972) pp. 96-228 :
    Regge Pole Model and Hadron Physics
    Yasuo Hara

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