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Prog. Theor. Phys. Vol. 42 No. 2 (1969) pp. 355-369

[ Full Text PDF : FREE ACCESS (931K) ]

The Nucleon-Nucleon P and D Scattering Phase Shifts by the Nambu-Salpeter-Bethe Equation

— PS(ps) Coupling Case —

Matu-Tarow Noda

Department of Physics, Osaka City University, Osaka

(Received February 4, 1969)

Abstract:

The Nambu-Salpeter-Bethe equation (the so-called Bethe-Salpeter equation) in the pion-ladder approximation is solved numerically for the P- and D-wave states of nucleon-nucleon scattering. Further we neglect the negative energy contribution (pair effect).
According to the magnitude of the difference between Born phase shifts and ours, our results are classified to four types. The magnitude is qualitatively governed by three factors and this classification indicates the difference between our calculations and the 3-dimensional or the dispersion theoretic results.
Two bound states of the nucleon-nucleon system appear in the 3P0 state in our calculation, but we find no bound state in this state by calculation of dispersion theory. This difference shows the contribution from the left-hand cut due to the many-particle exchange of the ladder type. On the other hand, we see the quantitative differences with the 3-dimensional calculation in the 3D2 and 1P1 states. These differences are due to the retardation effect.


URL : http://ptp.ipap.jp/link?PTP/42/355/
DOI : 10.1143/PTP.42.355

[ Full Text PDF : FREE ACCESS (931K) ] Citation:

References:

  1. T. Murota, M.-T. Noda and F. Tanaka, Prog. Theor. Phys. 41 (1969), 1251[PTP].
  2. J. Goto and S. Machida, Prog. Theor. Phys. 25 (1961), 64[PTP].
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 989-991 :
    Relativistic 3P0 Bound State in the PS(ps) Coupling
    Toshiyuki Murota and Matu-Tarow Noda
  2. 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
  3. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 852-854 :
    On the 3-Meson-Exchange Model of Nucleon-Nucleon Scattering Based on the Nambu-Salpeter-Bethe Equation
    Toshiyuki Murota, Matu-Tarow Noda and Fujio Tanaka
  4. Progress of Theoretical Physics Vol. 43 No. 4 (1970) pp. 1035-1049 :
    Zero-Energy Bound States of Two Dirac Particles
    Hitoshi Ito
  5. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1456-1468 :
    The 1S0 Phase Shift for Nucleon-Nucleon Scattering by the Nambu-Salpeter-Bethe Equation. III
    Toshiyuki Murota, Matu-Tarow Noda and Fujio Tanaka
  6. Progress of Theoretical Physics Vol. 47 No. 2 (1972) pp. 535-555 :
    Nonstatic Nuclear Forces of the Triplet State in Momentum Space
    Masanobu Wada
  7. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1115-1122 :
    Nucleon-Nucleon Scattering Phase Shifts by the Nambu-Salpeter-Bethe Equation
    Hitoshi Ito, Toshiyuki Murota, Matsu-tarow Noda and Fujio Tanaka

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