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Prog. Theor. Phys. Vol. 36 No. 2 (1966) pp. 348-365

[ Full Text PDF : FREE ACCESS (1172K) ]

Dispersion Theoretic Calculation of the Two-Pion-Exchange Contribution in Nucleon-Nucleon Scattering. II

— Detailed Investigation by Comparison with the OBEC Amplitude —

Susumu Furuichi and Wataro Watari*

Department of Physics, Rikkyo University, Tokyo
*Research Institute for Atomic Energy, Osaka City University, Osaka

(Received February 28, 1966)

Abstract:

Uncorrelated 2π-exchange contributions to the nucleon-nucleon scattering are investigated in detail by comparing the “proper” 2π contributions with appropriate one-boson-exchange amplitudes.
It is shown that (i) the iso-spin non-flip amplitude shows a behaviour similar to the contribution from the exchange of a singel (iso-scalar) scalar boson, mainly owing to the effect of the (33) resonance; (ii) the behaviour of the iso-spin flip amplitude is also very similar to that of the contribution from the exchange of a single (iso-vector) vector boson, and the contribution from the nucleon-pole term is dominant in this amplitude.
Furthermore, the relation of our approach to the potential model is discussed, and we show that the two-pion-exchange process produces a strong attractive central force and a rather strong negative LS force. The LS force gives a splitting of the 3PJ amplitudes roughly equal to the observed one. However, the central force seems too strong.
The case when we cut off the high momentum part of the contribution of the exchanged two pions is also examined. By the cutoff procedure, the contribution from the 33 part is considerably suppressed, and the suppression becomes larger as the orbital angular momentum of the two nucleons becomes smaller.


URL : http://ptp.ipap.jp/link?PTP/36/348/
DOI : 10.1143/PTP.36.348

[ Full Text PDF : FREE ACCESS (1172K) ] Citation:

References:

  1. J. L. Gammel and R. M. Thaler, Phys. Rev. 107 (1957), 291[APS].
  2. N. Hoshizaki and S. Machida, Prog. Theor. Phys. 27 (1962), 288[PTP].
  3. S. Otsuki, R. Tamagaki and W. Watari, Prog. Theor. Phys. 27 (1962), 315[PTP].
  4. N. Hoshizaki, S. Otsuki, W. Watari and M. Yonezawa, Prog. Theor. Phys. 27 (1962), 1199[PTP].
  5. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 28 (1962), 991[PTP].
  6. S. Sawada, T. Ueda, W. Watari and M. Yonezawa, Prog. Theor. Phys. 32 (1964), 380[PTP].
  7. S. Furuichi and W. Watari, Prog. Theor. Phys. 34 (1965), 594[PTP].
  8. S. Furuichi and M. Yonezawa, Prog. Theor. Phys. 33 (1965), 238[PTP].
  9. M. Matsuda and S. Sawada, Prog. Theor. Phys. 31 (1964), 804[PTP].
  10. J. W. Durso and P. Signell, Phys. Rev. 135 (1964), B1057[APS].
  11. N. Hoshizaki, I. Lin and S. Machida, Prog. Theor. Phys. 26 (1961), 680[PTP].
  12. R. Tamagaki and W. Watari, Prog. Theor. Phys. Suppl. No. 39 (1967), 23[PTP].
  13. M. Konuma, H. Miyazawa and S. Otsuki, Prog. Theor. Phys. 19 (1958), 17[PTP].
  14. M. Sugawara and S. Okubo, Phys. Rev. 117 (1960), 605[APS].
  15. S. Furuichi, H. Kanada and K. Watanabe, Prog. Theor. Phys. 35 (1966), 333[PTP].
    S. Furuichi and K. Watanabe, Prog. Theor. Phys. 35 (1966), 174[PTP]; ibid. 35 (1966), 407[PTP].
  16. S. Machida, Soryushiron-Kenkyu (Mimeographed circular in Japanese) 24 (1961), 53.
  17. S. Furui, S. Furuichi, S. Ishida, S. Kawasaki and M. Sawamura, Prog. Theor. Phys. 30 (1963), 840[PTP]; ibid. 32 (1964), 399[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 37 No. 1 (1967) pp. 75-87 :
    Two-Pion-Exchange Potential with Nucleon-Pair Effects
    Noboru Hiroshige
  2. Progress of Theoretical Physics Vol. 37 No. 2 (1967) pp. 465-467 :
    Effect of Higher πN Resonances to Subtraction Constant in the ππ→NN Dispersion Relation
    Susumu Furuichi and Keiji Watanabe
  3. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1147-1166 :
    On the Possible Origin of Repulsive Core and Spin-Orbit Forces in the Nucleon-Nucleon Interaction
    Masahiro Sato and Ryozo Tamagaki
  4. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 516-518 :
    A Remark on the Effect of Higher π-N Resonances on the ππ→NN Amplitude
    Susumu Furuichi and Tōru Sōkawa
  5. Progress of Theoretical Physics Vol. 38 No. 3 (1967) pp. 636-652 :
    Exact Treatment of (π+π↔N+N) Amplitude and Electromagnetic Structure of Nucleon
    Susumu Furuichi, Hiroyuki Kanada and Keiji Watanabe
  6. Progress of Theoretical Physics Vol. 38 No. 4 (1967) pp. 892-906 :
    Nucleon-Nucleon Potential of One-Boson-Exchange Type
    Yosuke Kishi, Shoji Sawada and Wataro Watari
  7. Progress of Theoretical Physics Vol. 38 No. 5 (1967) pp. 1200-1202 :
    Kinematical Considerations on Three-Pion-Exchange Contributions in Nucleon-Nucleon Scattering
    Susumu Furuichi and Minoru Yonezawa
  8. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 105-130 :
    On the Repulsive Core and the Nonstatic Effects of Nuclear Forces in Momentum Space
    Masanobu Wada
  9. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 131-144 :
    One-Boson-Exchange Modes and Two- and Three-Pion Exchange in Nucleon-Nucleon Interaction. I
    Susumu Furuichi, Tamotsu Ueda, Wataro Watari and Minoru Yonezawa
  10. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 461-472 :
    One-Boson-Exchange Modes and Two- and Three-Pion Exchange in Nucleon-Nucleon Scattering. II
    Susumu Furuichi, Hiroshi Suemitsu, Wataro Watari and Minoru Yonezawa
  11. Progress of Theoretical Physics Vol. 41 No. 3 (1969) pp. 850-852 :
    On the Contributions from Heavy Pseudoscalar Mesons to the Nucleon-Nucleon Interaction
    Susumu Furuichi, Wataro Watari and Minoru Yonezawa
  12. Progress of Theoretical Physics Vol. 41 No. 6 (1969) pp. 1504-1514 :
    On the Effect of Higher π-N Resonances on N-N Scattering
    Susumu Furuichi and Tohru Sōkawa
  13. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 696-708 :
    Nuclear Force in the Inner Region and One-Boson-Exchange Model
    Tamotsu Ueda
  14. Progress of Theoretical Physics Vol. 43 No. 6 (1970) pp. 1560-1573 :
    A Multi-Channel Approach to High Energy Reactions by the One-Boson-Exchange Model
    Noboru Hiroshige and Wataro Watari
  15. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 183-192 :
    High Energy Proton-Proton Scattering and an Extended Particle Model
    Tamotsu Ueda
  16. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 711-728 :
    Two-Pion-Exchange Contribution to Nucleon-Nucleon Scattering on the Basis of Pion-Pion Dynamics
    Susumu Furuichi, Hiroyuki Kanada and Keiji Watanabe
  17. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 1922-1934 :
    Regge-Like Behaviour of Necleon-Nucleon Scattering Amplitudes at Low Energy
    Hiroshi Suemitsu
  18. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 541-551 :
    Remarks on the Regge-Like Behaviour of the One-Boson-Exchange Amplitude in Low-Energy Nucleon-Nucleon Scattering
    Yoshinori Susuki
  19. Progress of Theoretical Physics Vol. 50 No. 4 (1973) pp. 1312-1333 :
    Nuclear Forces in Momentum Space with One-Boson-Exchange Model
    Norio Hoshizaki and Tsuyoshi Kadota
  20. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 850-863 :
    The Pauli Principle Effect in Nuclear Matter on the I = J = 0 Part of the Potential due to the Exchange of Interacting Two Pions
    Tamotsu Ueda and Shuji Takagi

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