Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 24 No. 4 (1960) pp. 840-850

[ Full Text PDF : FREE ACCESS (593K) ]

P-Wave Pion-Pion Interaction

Yoneji Miyamoto

Department of Physics, Tokyo University of Education, Tokyo

(Received June 11, 1960)

Abstract:

P-Wave pion-pion resonance formula is derived by both the Chew-Mandelstam theory and the chain approximation. Adopting scattering length a=1/5·(\hbar/µc)3, we predict the resonance of 600 Mev and total width of 130 Mev, which is consistent with the results of Takeda et al. and Fulco and Frazer. The mean square radius of isovector part of magnetic moment of a nucleon is calculated by using the chain approximation.


URL : http://ptp.ipap.jp/link?PTP/24/840/
DOI : 10.1143/PTP.24.840

[ Full Text PDF : FREE ACCESS (593K) ] Citation:


References:

  1. L. D. Landau, Izv. Akad. Nauk S. S. S. R. 17 (1953), 51.
  2. G. Takeda, Phys. Rev. 100 (1955), 440[APS].
  3. F. J. Dyson, Phys. Rev. 99 (1955), 1037[APS].
  4. D. Ito, T. Kobayashi, T. Yamazaki and S. Minami, Prog. Theor. Phys. 18 (1957), 264[PTP].
  5. W. A. Perkins et al., Phys. Rev. Lett. 3 (1959), 56[APS].
  6. L. S. Rodberg, Phys. Rev. Lett. 3 (1959), 58[APS].
  7. I. Sato, A. Takahashi and Y. Ueda, Prog. Theor. Phys. 22 (1957), 617[PTP].
  8. G. F. Chew and S. Mandelstam, UCRL-8728.
    We cite this paper as C. M.; Phys. Rev. 119 (1960), 467[APS].
  9. K. Igi and K. Kawarabayashi, Prog. Theor. Phys. 20 (1958), 576[PTP].
  10. J. R. Fulco and W. R. Frazer, Phys. Rev. Lett. 2 (1959), 365[APS]; Phys. Rev. 117 (1960), 1609[APS].
  11. K. Itabashi, M. Kato, K. Nakagawa and G. Takeda, Prog. Theor. Phys. 24 (1960), 529[PTP].
  12. S. Mandelstam, Phys. Rev. 112 (1958), 1344[APS].
  13. H. Miyazawa and K. Kawarabayashi, Prog. Theor. Phys. 23 (1960), 490[PTP].
  14. S. Okubo, Phys. Rev. 118 (1960), 357[APS].
  15. P. Federbush, M. L. Goldberger and S. B. Treiman, Phys. Rev. 112 (1958), 642[APS].
  16. G. Takeda, M. Kato, K. Itabashi, Lecture at Annual Meeting of Physical Society (1960).
  17. S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
    K. Matumoto, Prog. Theor. Phys. 16 (1956), 583[PTP].
    M. Ikeda, S. Ogawa, and Y. Ohnuki Prog. Theor. Phys. 22 (1959), 715[PTP].
    S. Sawada and M. Yonezawa, Prog. Theor. Phys. 23 (1960), 662[PTP].
  18. Y. Nambu, Phys. Rev. 106 (1957), 1366[APS].
  19. T. Sakuma, preprint.
    He determines λ by Chew-Low method, Phys. Rev. 113 (1959), 1640[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1262-1274 :
    Pion-Nucleon Scattering and Pion-Pion Interaction
    Shin Ishida
  2. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 441-460 :
    Pion-Pion Interaction and Nuclear Forces
    Yasunori Fujii
  3. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 493-507 :
    Photopion Production and (γ, 3π) Interaction
    Masaaki Kato
  4. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 727-734 :
    P-Wave Resonance in Pion-Pion Scattering
    Miwae Yamazaki
  5. Progress of Theoretical Physics Vol. 26 No. 3 (1961) pp. 356-374 :
    K Meson-Pion Interaction and K-+pK0-+p Reaction
    Shigeo Minami
  6. Progress of Theoretical Physics Vol. 26 No. 4 (1961) pp. 519-540 :
    Effects of the γ-3π Interaction on the Electromagnetic Properties of Deuteron
    Yasunori Fujii and Masaaki Kawaguchi
  7. Progress of Theoretical Physics Vol. 26 No. 5 (1961) pp. 627-646 :
    Dispersion Relations in Nucleon-Nucleon Scattering and Resonances in Many-Pion System
    Yasuo Hara
  8. Progress of Theoretical Physics Vol. 26 No. 5 (1961) pp. 680-692 :
    Nonstatic One-Boson-Exchange Potentials
    Norio Hoshizaki, I Lin and Shigeru Machida
  9. Progress of Theoretical Physics Vol. 26 No. 6 (1961) pp. 1016-1018 :
    Hypothesis of the Isotopic Spin Independence. II
    Masaaki Kawaguchi
  10. Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 33-50 :
    Pion-Pion Interaction
    Shin Ishida and Kazo Nakazawa
  11. Progress of Theoretical Physics Vol. 29 No. 1 (1963) pp. 71-86 :
    A Classification of Resonances
    Yasunori Fujii
  12. Progress of Theoretical Physics Vol. 29 No. 6 (1963) pp. 865-876 :
    Application of the Sawada Transformation to Multichannel Problem
    Masataka Hosoda and Hiroo Shimoida
  13. Progress of Theoretical Physics Vol. 31 No. 3 (1964) pp. 466-475 :
    Remarks on the Form Factors in the Kl3 Decay Modes
    Azuma Toda and Mineo Fukawa
  14. Progress of Theoretical Physics Vol. 32 No. 2 (1964) pp. 254-262 :
    Phase Shifts of Pion-Pion Scattering
    Hiroyuki Kanada and Keiji Watanabe