HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 16 (1956) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 16 No. 5 (1956) pp. 455-471

[ Full Text PDF : FREE ACCESS (1399K) ]

Two-Nucleon Problem with Pion Theoretical Potential, I

— Determination of Coupling Constant and Deuteron Problem —

Junji Iwadare, Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari*

Department of Physics, Kyoto University, Kyoto
*Department of Physics, Hiroshima University, Hiroshima

(Received July 7, 1956)

Abstract:

Assuming the pion theoretical potential due to the exchange of one pion in the region outside the pion Compton wave length, the deuteron problem is analysed. Since the deuteron has a large radius on account of its small binding energy, the wave function is strongly affected by the outer part of the potential. This outer part of the pion theoretical potential has the effective coupling constant ge2/4π between the p-wave pion field and a nucleon as the only variable parameter. Thus we can determine the value of the coupling constant from the deuteron problem as 0.065<ge2/4π<0.090. This value is in good agreement with that inferred from pion reactions.
The form of the deuteron wave function with the pion theoretical potential and its approximate analytical expression are given.
An information is obtained that the tensor potential must be negative inside the pion Compton wave length in order to give the bound deuteron state, which is consistent with the pion theoretical potential in the same region.


URL : http://ptp.ipap.jp/link?PTP/16/455/
DOI : 10.1143/PTP.16.455

[ Full Text PDF : FREE ACCESS (1399K) ] Citation:

References:

  1. H. R. Worthington, J. N. McGruer and D. E. Findley, Phys. Rev. 90 (1953), 899[APS].
  2. S. Otsuki and R. Tamagaki, Prog. Theor. Phys. 12 (1954), 806[PTP]; ibid. 14 (1955), 52[PTP].
  3. M. Taketani, S. Machida and S. Onuma, Prog. Theor. Phys. 7 (1952), 45[PTP].
  4. S. Fujii, J. Iwadare, S. Otsuki, M. Taketani, S. Tani and W. Watari, Prog. Theor. Phys. 11 (1954), 11[PTP].
    S. Otsuki and S. Fujii, Prog. Theor. Phys. 12 (1954), 521[PTP].
  5. M. Taketani, S. Nakamura and M. Sasaki, Prog. Theor. Phys. 6 (1951), 581[PTP].
  6. K. Hiida, J. Iwadare and S. Machida, Prog. Theor. Phys. 15 (1966), 189[PTP].
  7. N. Fukuda, K. Sawada and M. Taketani, Prog. Theor. Phys. 12 (1954), 156[PTP].
    K. Inoue, S. Machida, M. Taketani and T. Toyoda, Prog. Theor. Phys. 15 (1956), 122[PTP].
  8. S. Machida, Prog. Theor. Phys. 9 (1953), 683[PTP].
  9. I. Sato and K. Itabashi, Prog. Theor. Phys. 13 (1955), 341[PTP].
    K. Itabashi, Lecture at the annual meeting of the Physical Society of Japan held at Sendai, July 1956.
  10. K. A. Brueckner and K. M. Watson, Phys. Rev. 92 (1953), 1023[APS].
    Y. Nogami and H. Hasegawa, Prog. Theor. Phys. 15 (1956), 137[PTP].
  11. W. Rarita and J. Schwinger, Phys. Rev. 59 (1941), 436[APS].
  12. G. Bernardini and E. L. Goldwasser, Phys. Rev. 95 (1955), 857[APS].
    See also reference 13).
  13. G. F. Chew and F. E. Low, Phys. Rev. 101 (1956), 1570[APS]; ibid. 101 (1956), 1579[APS].
  14. J. Iwadare, S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. 15 (1956), 86[PTP].

Citing Article(s) :

  1. 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
  2. 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
  3. Progress of Theoretical Physics Vol. 16 No. 6 (1956) pp. 658-666 :
    Two-Nucleon Problem with Pion Theoretical Potential, IV
    Junji Iwadare, Shoichiro Otsuki, Mitsuo Sano, Shuji Takagi and Wataro Watari
  4. Progress of Theoretical Physics Vol. 17 No. 1 (1957) pp. 80-88 :
    Electromagnetic Properties of Deuteron, II
    Kiyomi Itabashi
  5. Progress of Theoretical Physics Vol. 18 No. 6 (1957) pp. 637-648 :
    Photodisintegration of the Deuteron near 11 Mev
    Shih-Hui Hsieh
  6. Progress of Theoretical Physics Vol. 19 No. 2 (1958) pp. 217-219 :
    On the Applicability of the Pion-theoretical Nuclear Potential
    Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  7. Progress of Theoretical Physics Vol. 19 No. 4 (1958) pp. 453-454 :
    Natures of Nuclear Force Indicated by the Photodisintegration of the Deuteron, III
    S. H. Hsieh
  8. Progress of Theoretical Physics Vol. 21 No. 4 (1959) pp. 585-592 :
    Photodisintegration of the Deuteron at High Energies
    Shih-Hui Hsieh
  9. Progress of Theoretical Physics Vol. 23 No. 1 (1960) pp. 188-190 :
    Electric Multiple Transitions in the D(γp)n Reaction at High Energy
    Masahiko Matsumoto
  10. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 597-609 :
    Photodisintegration of the Deuteron in the High Energy Range
    Masahiko Matsumoto
  11. Progress of Theoretical Physics Vol. 24 No. 1 (1960) pp. 126-134 :
    A Study on the Low Energy n-p System
    Tetsuo Hamada
  12. Progress of Theoretical Physics Vol. 24 No. 4 (1960) pp. 797-816 :
    Photodisintegration of the Deuteron in Medium Energy Range and the Pion Theoretical Nuclear Forces
    Junji Iwadare and Masahiko Matsumoto
  13. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 247-258 :
    A Semi-phenomenological Neutron-Proton Potential
    Tetsuo Hamada
  14. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 427-435 :
    Pion Theory of Nuclear Forces and Low Energy P-Wave Phase Shifts
    Shoichiro Otsuki, Mituo Taketani, Ryozo Tamagaki and Wataro Watari
  15. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 315-341 :
    Two-Nucleon Potential with Full Recoil. III
    Shoichiro Otsuki, Ryozo Tamagaki and Wataro Watari
  16. Progress of Theoretical Physics Vol. 27 No. 6 (1962) pp. 1199-1220 :
    Nuclear Forces and Bosons
    Norio Hoshizaki, Shoichiro Otsuki, Wataro Watari and Minoru Yonezawa
  17. Progress of Theoretical Physics Supplement No.85 (1985) pp. 52-60 :
    The Sakata Model and Its Succeeding Development toward the Age of New Flavours
    Shuzo Ogawa

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.