HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 24 (1960) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 24 No. 6 (1960) pp. 1325-1348

[ Full Text PDF : FREE ACCESS (1291K) ]

Two Nucleon Potential with Full Recoil. I

— General Formalism and One-Pion-Exchange Potential —

Norio Hoshizaki and Shigeru Machida*

Department of Physics, Tokyo University of Education, Tokyo
*Department of Physics, Rikkyo University, Tokyo

(Received August 9, 1960)

Abstract:

Nonstatic nuclear potential due to one-pion-exchange process is derived in the momentum space without using the expansion with respect to the inverse of the mass of the nucleon. Close examinations of its properties show that it can be expressed with good accuracy by a local potential in x-space at low energies (below nearly 300 Mev). Nonstatic parts of the potential have different signs accordings as whether the assumed coupling between the pion and the nucleon is pseudoscalar or pseudovector. Comparison with the experimental phase shifts is briefly discussed. It is shown in the case of the pseudoscalar coupling that the nonstatic one-pion-exchange potential derived in this paper is almost exact from the theoretical point of view when the distance between two nucleons is far enough (large compared with one third of the pion Compton wavelength). It is also argued on some physical assumptions that the potential will in fact be exact in the case of the pseudovector coupling too.


URL : http://ptp.ipap.jp/link?PTP/24/1325/
DOI : 10.1143/PTP.24.1325

[ Full Text PDF : FREE ACCESS (1291K) ] Citation:

References:

  1. M. Taketani and S. Machida, Prog. Theor. Phys. 24 (1960), 1317, [PTP]the preceding paper.
  2. A review may be found in S. Machida and T. Toyoda, Prog. Theor. Phys. Suppl. No. 3 (1956), 106[PTP]. (Part III)
  3. M. Sugawara and S. Okubo, Phys. Rev. 117 (1960), 605[APS]; ibid. 117 (1960), 611[APS].
  4. S. Okubo and S. Sato, Prog. Theor. Phys. 21 (1959), 383[PTP].
  5. N. Tzoar, R. Raphael and A. Klein, Phys. Rev. Lett. 2 (1959), 433[APS]; ibid. 3 (1959), 145[APS].
  6. S. Okubo and R. E. Marshak, Ann. of Phys. 3 (1958), 166.
  7. J. Goto and S. Machida, Prog. Theor. Phys., to be published.
    a) S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys., to be published.
  8. T. Hamada, Prog. Theor. Phys. 24 (1960), 220[PTP]; ibid. 24 (1960), 1033[PTP].
  9. S. Tani, Prog. Theor. Phys. 6 (1951), 267[PTP].
    L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78 (1950), 29[APS].
  10. M. L. Goldberger, Phys. Rev. 84 (1951), 929[APS].
  11. See, e.g. H. P. Stapp, T. J. Ypsilantis and N. Metropolis, Phys. Rev. 105 (1957), 302[APS].
    L. Puzikov, R. Ryndin and J. Smorodinsky, Nucl. Phys. 3 (1957), 436[CrossRef].
  12. N. Fukuda, K. Sawada and M. Taketani, Prog. Theor. Phys. 12 (1954), 156[PTP].
    See also reference 2).
    a) Y. Nambu, Prog. Theor. Phys. 3 (1948), 444[PTP].
    L. Van Hove, Phys. Rev. 75 (1949), 1519[APS].
    H. Enatsu, Prog. Theor. Phys. 5 (1950), 102[PTP].
  13. N. Hoshizaki, I. Lin and S. Machida, to be published.
  14. F. J. Dyson, Phys. Rev. 73 (1948), 929[APS].
    K. M. Case, Phys. Rev. 76 (1949), 1[APS].
    J. M. Berger, L. L. Foldy and R. K. Osborn, Phys. Rev. 87 (1952), 1061[APS].
  15. S. N. Gupta, Phys. Rev. 117 (1960), 1146[APS].
  16. K. Hiida, J. Iwadare and S. Machida, Prog. Theor. Phys. 15 (1956), 189[PTP].
  17. H. Lehmann, Nuovo Cim. 11 (1954), 342.
  18. S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
  19. S. Machida, Prog. Theor. Phys. 18 (1957), 467[PTP].
  20. P. Signell, Prog. Theor. Phys. 22 (1959), 492[PTP].
  21. P. Cziffra, M. H. MacGregor, M. J. Moravisik and H. P. Stapp, Phys. Rev. 114 (1959), 880[APS].
    M. H. MacGregor, M. J. Moravcsik and H. P. Stapp, Phys. Rev. 116 (1959), 1284[APS].
  22. N. Hoshizaki and S. Machida, to be published.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1317-1324 :
    On the Method of the Theory of Nuclear Forces
    Mitsuo Taketani and Shigeru Machida
  2. Progress of Theoretical Physics Vol. 25 No. 1 (1961) pp. 51-63 :
    Nuclear Deformation and Nuclear Force. II
    Kiyomi Ikeda, Sinobu Nagata and Kenjiro Takada
  3. Progress of Theoretical Physics Vol. 25 No. 1 (1961) pp. 64-82 :
    Nuclear Forces in the Momentum Space
    Junko Goto and Shigeru Machida
  4. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 247-258 :
    A Semi-phenomenological Neutron-Proton Potential
    Tetsuo Hamada
  5. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 441-460 :
    Pion-Pion Interaction and Nuclear Forces
    Yasunori Fujii
  6. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 667-683 :
    Pion-Nucleon Interaction and the Multiple-Production Experiment
    Hiroshi Ezawa, Osamu Kamei, Kenju Mori, Hiroo Shimoida and Tohru Yoneyama
  7. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 847-849 :
    Mass of a Neutral Vector Meson and p-p Scattering
    Shoroku Ohnuma
  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. 5 (1961) pp. 757-760 :
    Non-Static Effects in the Nucleon-Nucleon Interaction
    Philip Connors and Peter Signell
  10. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 241-261 :
    Two-Nucleon Potentials from Dispersion Relations
    Tomoya Akiba
  11. 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
  12. Progress of Theoretical Physics Vol. 27 No. 3 (1962) pp. 614-615 :
    Non-Static Effects in OPEP: PS (PV) Case
    Philip Connors and Peter Signell
  13. 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
  14. Progress of Theoretical Physics Vol. 28 No. 6 (1962) pp. 991-1025 :
    One Boson Exchange Model in Proton-Proton Scattering
    Shoji Sawada, Tamotsu Ueda, Wataro Watari and Minoru Yonezawa
  15. Progress of Theoretical Physics Vol. 31 No. 3 (1964) pp. 514-516 :
    On the Quadratic Spin-Orbit Force in p-p Scattering
    Shoichiro Otsuki
  16. Progress of Theoretical Physics Vol. 31 No. 4 (1964) pp. 623-641 :
    Nucleon-Nucleon Potential in the Triplet-Even State
    Ryozo Tamagaki, Masanobu Wada and Wataro Watari
  17. Progress of Theoretical Physics Vol. 31 No. 5 (1964) pp. 804-824 :
    Nuclear Force and OBEC-Model
    Masanori Matsuda and Shoji Sawada
  18. Progress of Theoretical Physics Vol. 34 No. 4 (1965) pp. 594-631 :
    Dispersion Theoretic Calculation of Two-Pion-Exchange Contribution in Nucleon-Nucleon Scattering. I
    Susumu Furuichi and Wataro Watari
  19. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1202-1210 :
    One-Pion-Exchange Contribution in the Λ-N Interaction
    Shigeru Machida
  20. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 295-311 :
    Possible Observation of the Skew-Symmetric Tensor Gauge Field
    Shikao Miyamoto and Tadao Nakano
  21. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2015-2039 :
    Theory of the Reactions of the Composite Particles
    Shigeru Machida
  22. Progress of Theoretical Physics Vol. 50 No. 1 (1973) pp. 111-120 :
    Non-Local Effects in the Nucleon-Nucleus Effective Interaction
    Marcel Coz
  23. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 677-679 :
    An Attractive Retarded Effect of OBEP on Nucleon-Nucleon Scattering
    Toshio Obinata and Masanobu Wada
  24. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 567-570 :
    On Relativistic Corrections to Mass Spectra in Heavy Quarkonia
    Hitoshi Ito

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.