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Prog. Theor. Phys. Vol. 15 No. 2 (1956) pp. 122-136

[ Full Text PDF : FREE ACCESS (1184K) ]

Pion Theory of Nuclear Forces

Kazuhiko Inoue, Shigeru Machida, Mitsuo Taketani and Toshiyuki Toyoda

Department of Physics, Rikkyo University, Tokyo

(Received November 16, 1955)

Abstract:

Recently a general and formal method to construct nuclear potentials has been proposed by Fukuda, Sawada and Taketani. Applying the method to the pion theory and adopting fixed and extended sources, we have evaluated nuclear potentials. The result seems to be in favour of that of Taketani, Machida and Onuma rather than that of Prueckner and Watson. As a cut-off function we assumed a Gaussian error function with kmax=6µc. In the case of the effective coupling constant g2/4π=0.08 it is found that the effect of the extended source becomes very strong in the region for r<0.7 \hbar/µc. If we use these potentials for r>0.7 \hbar/µc and phenomenological potentials inside this range, satisfactory results may be obtained to explain the properties of the two nucleon system in the low energy region.


URL : http://ptp.ipap.jp/link?PTP/15/122/
DOI : 10.1143/PTP.15.122

[ Full Text PDF : FREE ACCESS (1184K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 15 No. 2 (1956) pp. 137-150 :
    Intermediate Coupling Meson Theory of Nuclear Forces, II
    Yukihisa Nogami and Hiroichi Hasegawa
  2. Progress of Theoretical Physics Vol. 16 No. 5 (1956) pp. 455-471 :
    Two-Nucleon Problem with Pion Theoretical Potential, I
    Junji Iwadare, Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  3. Progress of Theoretical Physics Vol. 16 No. 5 (1956) pp. 472-481 :
    Two-Nucleon Problem with Pion Theoretical Potential, II
    Junji Iwadare, Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  4. Progress of Theoretical Physics Vol. 16 No. 6 (1956) pp. 604-612 :
    Two-Nucleon Problem with Pion Theoretical Potential, III
    Junji Iwadare, Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  5. Progress of Theoretical Physics Vol. 17 No. 1 (1957) pp. 80-88 :
    Electromagnetic Properties of Deuteron, II
    Kiyomi Itabashi
  6. Progress of Theoretical Physics Vol. 19 No. 1 (1958) pp. 17-30 :
    Two-Pion-Exchange Nuclear Potential
    Michiji Konuma, Hironari Miyazawa and Shoichiro Otsuki
  7. Progress of Theoretical Physics Vol. 20 No. 2 (1958) pp. 171-180 :
    Proton-Proton Scattering and Pion Theory of Nuclear Forces
    Shoichiro Otsuki
  8. Progress of Theoretical Physics Vol. 22 No. 4 (1959) pp. 492-498 :
    Nucleon-Nucleon Scattering in Momentum Space: OPEP as Example
    Peter Signell
  9. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 241-261 :
    Two-Nucleon Potentials from Dispersion Relations
    Tomoya Akiba
  10. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 288-314 :
    Two-Nucleon Potential with Full Recoil. II
    Norio Hoshizaki and Shigeru Machida
  11. Progress of Theoretical Physics Vol. 106 No. 1 (2001) pp. 99-130 :
    A Construction of an Effective Hamiltonian from Feynman Diagrams
    Yuki Yamamoto

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