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Prog. Theor. Phys. Vol. 25 No. 1 (1961) pp. 64-82

[ Full Text PDF : FREE ACCESS (704K) ]

Nuclear Forces in the Momentum Space

Junko Goto and Shigeru Machida

Department of Physics, Rikkyo University, Tokyo

(Received August 20, 1960)

Abstract:

Several fundamental problems on a two-nucleon system in the momentum space are discussed with the view that they will be useful for treating the two-nucleon problem completely nonstatically, i. e. without making use of the expansion in terms of the inverse of the mass of the nucleon.
General forms for a two-nucleon potential in the momentum space are derived, and the integral equations which are the Fourier transform of the Schrödinger equation and their solutions are briefly discussed. Formulas for matrix elements of the most general types of potentials are evaluated and are applied to the nonstatic one-pion-exchange potential.


URL : http://ptp.ipap.jp/link?PTP/25/64/
DOI : 10.1143/PTP.25.64

[ Full Text PDF : FREE ACCESS (704K) ] Citation:

References:

  1. M. Taketani and S. Machida, Prog. Theor. Phys. 24 (1960), 1317[PTP].
  2. N. Hoshizaki and S. Machida, Prog. Theor. Phys. 24 (1960), 1325[PTP].
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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. 3 (1961) pp. 441-460 :
    Pion-Pion Interaction and Nuclear Forces
    Yasunori Fujii
  3. Progress of Theoretical Physics Vol. 26 No. 5 (1961) pp. 680-692 :
    Nonstatic One-Boson-Exchange Potentials
    Norio Hoshizaki, I Lin and Shigeru Machida
  4. Progress of Theoretical Physics Vol. 27 No. 2 (1962) pp. 241-261 :
    Two-Nucleon Potentials from Dispersion Relations
    Tomoya Akiba
  5. Progress of Theoretical Physics Vol. 28 No. 2 (1962) pp. 283-298 :
    Nucleon-Nucleon Scattering in Momentum Space
    Junko Goto
  6. Progress of Theoretical Physics Vol. 28 No. 6 (1962) pp. 967-970 :
    Divergencefree Composite Model of Elementary Particles
    Yoneji Miyamoto
  7. 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
  8. Progress of Theoretical Physics Vol. 31 No. 5 (1964) pp. 804-824 :
    Nuclear Force and OBEC-Model
    Masanori Matsuda and Shoji Sawada
  9. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 55-70 :
    Inner Region and Nonstatic Effects of Nuclear Forces in the Triplet Odd State
    Ryozo Tamagaki, Masanobu Wada and Wataro Watari
  10. 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
  11. Progress of Theoretical Physics Vol. 37 No. 4 (1967) pp. 763-764 :
    Momentum Space Calculations of Nonstatic Effects of the OPEP in the Triplet Even State
    Masanobu Wada
  12. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1202-1210 :
    One-Pion-Exchange Contribution in the Λ-N Interaction
    Shigeru Machida
  13. Progress of Theoretical Physics Vol. 38 No. 6 (1967) pp. 1406-1408 :
    Momentum Space Calculations on the Repulsive Core of Nuclear Forces
    Masanobu Wada
  14. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1304-1318 :
    Composite Model and Regge Pole
    Shigeru Machida and Toshihiro Yoshida
  15. 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
  16. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 355-369 :
    The Nucleon-Nucleon P and D Scattering Phase Shifts by the Nambu-Salpeter-Bethe Equation
    Matu-Tarow Noda
  17. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 53-60 :
    The 1S0 Phase Shift of Nucleon-Nucleon Scattering by the Nambu-Salpeter-Bethe Equation. II
    Fujio Tanaka
  18. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 535-555 :
    Nonstatic Nuclear Forces of the Triplet State in Momentum Space
    Masanobu Wada
  19. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2015-2039 :
    Theory of the Reactions of the Composite Particles
    Shigeru Machida
  20. 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

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