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

Prog. Theor. Phys. Vol. 24 No. 5 (1960) pp. 1033-1048

[ Full Text PDF : FREE ACCESS (938K) ]

A Semiphenomenological Proton-Proton Potential

Tetsuo Hamada

The Daily Telegraph Theoretical Department, School of Physics, University of Sydney, Sydney, N.S.W., Australia

(Received June 29, 1960)

Abstract:

An energy independent potential is constructed which reproduces all available p-p data up to 310 Mev. At 310 Mev the potential predicts the phase shift solution 1 of MacGregor et al. The potential includes the central, tensor, linear and quadratic LS potentials. The quadratic LS potential is manifestly required in the singlet even parity state where the linear LS potential vanishes. The linear LS potential turns out to be more singular but of shorter range than previously thought. It appears now that the p-p data below 310 Mev can be understood in terms of a potential consistent in all respects with the pion theory of nuclear forces.


URL : http://ptp.ipap.jp/link?PTP/24/1033/
DOI : 10.1143/PTP.24.1033

[ Full Text PDF : FREE ACCESS (938K) ] Citation:


References:

  1. L. Puzikov, R. Rydin and J. Smorodinsky, Nucl. Phys. 3 (1957), 436[CrossRef].
  2. S. Okubo and R. E. Marshak, Ann. of Phys. 4 (1958), 166[CrossRef].
  3. J. L. Gammel and R. M. Thaler, Phys. Rev. 107 (1957), 291[APS].
    This will be referred to as GT.
  4. S. Otsuki, Prog. Theor. Phys. 20 (1958), 171[PTP].
    R. Tamagaki, Prog. Theor. Phys. 20 (1958), 505[PTP].
  5. P. S. Signell and R. E. Marshak, Phys. Rev. 109 (1958), 1229[APS].
    This will be referred to as SM.
  6. P. S. Signell R. Zinn and R. E. Marshak, Phys. Rev. Lett. 1 (1958), 416[APS].
    This will be referred to as SM1.
  7. S. Gartenhaus, Phys. Rev. 100 (1955), 900[APS].
  8. R. A. Bryan, Nuovo Cim. XVI (1960), 895.
  9. J. Iwadare, S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. Suppl. No. 3 (1956), 32[PTP].
    Also see reference 4) and W. Watari, Prog. Theor. Phys. 20 (1958), 181[PTP].
  10. T. Hamada, J. Iwadare, S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. 22 (1959), 566[PTP].
  11. T. Hamada, J. Iwadare, S. Otsuki, R. Tamagaki, and W. Watari, Prog. Theor. Phys. 23 (1960), 366[PTP].
  12. M. Taketani, S. Nakamura and M. Sasaki, Prog. Theor. Phys. 6 (1951), 581[PTP].
    M. Taketani, Suppl. Prog. Theor. Phys. No. 3 (1956), 1.
  13. L. Bird, D. N. Edwards, B. Rose, A. E. Taylor and E. Wood, Phys. Rev. Lett. 4 (1960), 302[APS].
    E. Thorndike, J. Lefrancois and R. Wilson, Bull. Am. Phys. Soc. 5 (1960), 282.
  14. M. H. MacGregor, M. J. Moravcsik and H. P. Stapp, Phys. Rev. 116 (1959), 1284[APS].
  15. R. J. N. Phillips, Rep. Prog. Phys. 22 (1959), 562[CrossRef].
    (Physical Society, London).
  16. M. Sugawara and S. Okubo, Phys. Rev. 117 (1960), 605[APS]; ibid. 117 (1960), 611[APS].
  17. O. Chamberlain, E. Segre, R. D. Tripp, C. Wiegand and T. Ypsilantis, Phys. Rev. 105 (1957), 288[APS].
  18. T. Hamada, Prog. Theor. Phys. 24 (1960), 126[PTP].
  19. P. S. Signell, Prog. Theor. Phys. 22 (1959), 492[PTP].
  20. M. Sugawara, private communication.
  21. C. F. Hwang, T. R. Ophel, E. H. Thorndike, R. Wilson and N. F. Ramsey, Phys. Rev. Lett. 2 (1959), 310[APS].
  22. B. P. Nigam, Prog. Theor. Phys. 23 (1960), 61[PTP].
  23. M. H. MacGregor and M. J. Moravcsik, Phys. Rev. Lett. 4 (1960), 524[APS].
  24. W. N. Hess, Rev. Mod. Phys. 30 (1958), 368[APS].
  25. J. N. Palmieri, A. M. Cormak, N. F. Ramsey and R. Wilson, Ann. of Phys. 5 (1958), 299[CrossRef].
  26. T. H. Jeong, L. H. Johnston and D. E. Young, Phys. Rev. 118 (1960), 1080[APS].
  27. L. H. Johnston and D. A. Swanson, Phys. Rev. 111 (1958), 212[APS].
  28. E. H. Thorndike and T. R. Ophel, Phys. Rev. 119 (1960), 362[APS].
  29. Y. Smorodinsky, Kiev Conference, 1959.
  30. H. P. Stapp, T. Ypsilantis and N. Metropolis, Phys. Rev. 105 (1957), 302[APS].

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. 24 No. 6 (1960) pp. 1325-1348 :
    Two Nucleon Potential with Full Recoil. I
    Norio Hoshizaki and Shigeru Machida
  3. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 247-258 :
    A Semi-phenomenological Neutron-Proton Potential
    Tetsuo Hamada
  4. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 855-858 :
    Two-Nucleon Spin-Orbit Forces and the Doublet Splitting in Low Energy n-α Scattering
    Yasuo Takamura and Ryozo Tamagaki
  5. Progress of Theoretical Physics Vol. 26 No. 1 (1961) pp. 153-154 :
    Hard Core and Shape Parameter in the Effective Range Expansion
    T. Hamada and I. D. Johnson
  6. Progress of Theoretical Physics Vol. 26 No. 4 (1961) pp. 567-568 :
    Evidence for Quadratic Spin-Orbit Interaction
    N. R. Yoder and Peter Signell
  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. 757-760 :
    Non-Static Effects in the Nucleon-Nucleon Interaction
    Philip Connors and Peter Signell
  9. Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 51-88 :
    Dispersion Theoretic Treatment for Nucleon-Nucleon Scattering at Large Impact Parameter
    Susumu Furuichi
  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. 2 (1962) pp. 429-430 :
    Note on the Dispersion Relations in Nucleon-Nucleon Scattering and Resonances in Many-Pion System
    Yasuo Hara
  13. Progress of Theoretical Physics Vol. 27 No. 4 (1962) pp. 793-810 :
    Interaction between Alpha Particles
    Ichirō Shimodaya, Ryōzō Tamagaki and Hajime Tanaka
  14. Progress of Theoretical Physics Vol. 27 No. 6 (1962) pp. 1103-1127 :
    Research of p-p Scattering at 10 Mev by the Dispersion Relation
    Shih-Hui Hsieh
  15. 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
  16. 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
  17. Progress of Theoretical Physics Vol. 29 No. 2 (1963) pp. 235-254 :
    Coupled Partial-Wave-Dispersion-Relation for Nucleon-Nucleon Scattering and ρ- and ω-meson Contributions
    Susumu Furuichi
  18. Progress of Theoretical Physics Vol. 29 No. 3 (1963) pp. 422-438 :
    Investigation of p-p and n-p Scatterings at 10 Mev by Dispersion Relation
    Shih-Hui Hsieh and Setsuko Miyachi
  19. Progress of Theoretical Physics Vol. 31 No. 5 (1964) pp. 804-824 :
    Nuclear Force and OBEC-Model
    Masanori Matsuda and Shoji Sawada
  20. Progress of Theoretical Physics Vol. 37 No. 1 (1967) pp. 75-87 :
    Two-Pion-Exchange Potential with Nucleon-Pair Effects
    Noboru Hiroshige