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Prog. Theor. Phys. Vol. 10 No. 3 (1953) pp. 323-358

Nuclear Forces in Pseudoscalar Meson Theory

Iwao Sato

Physical Institute, Faculty of Science, Tohoku University

(Received July 5, 1953)

Abstract:

Perturbation theoretical calculations are made of nuclear forces yielded by pseudoscalar meson theory up to the fourth order in the coupling constant, especially taking account of the recoil of the nucleons in the intermediate states. Both cases of pseudoscalar and pseudovector couplings are considered. The expressions of the nucleon-nucleon interactions obtained contain integrals of contributions of various values of nucleon momenta in the intermediate states. Expanding the integrands of these integrals in powers of µ/M, and picking up the first few terms from each of these expansions, we obtain the nuclear potentials for the case in which the nucleon recoil is neglected. These potentials are found to be in agreement with the adiabatic potentials which have been calculated by Taketani et. al. for the case of pseudovector coupling, and by Lévy and Klein for the case of pseudoscalar coupling. However, the differences between the adiabatic potentials and the potentials calculated taking account of the nucleon recoil are found to be much larger than those expected by considering them to be of the higher order in µ/M. Brief discussions are made on the qualitative properties of the nucleon-nucleon interactions calculated by us.

URL : http://ptp.ipap.jp/link?PTP/10/323/
DOI : 10.1143/PTP.10.323

[ Full Text PDF : FREE ACCESS (2374K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. K. Nakabayasi and I. Sato, Phys. Rev. 88 (1952), 144[APS].
2. E. E. Salpeter, Phys. Rev. 82 (1951), 60[APS].
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 12 No. 1 (1954) pp. 100-102 :

   Electromagnetic Properties of Deuteron

   Iwao Sato and Kiyomi Itabashi

2. Progress of Theoretical Physics Vol. 13 No. 1 (1955) pp. 13-18 :

   Spin-Orbit Coupling in the Pseudoscalar Meson Theory of Nuclear Forces

   Gentaro Araki

3. Progress of Theoretical Physics Vol. 13 No. 4 (1955) pp. 389-404 :

   On Higher Order Corrections in the Meson Theory of Nuclear Forces

   Shigeru Machida and Kei Senba

4. Progress of Theoretical Physics Vol. 14 No. 1 (1955) pp. 16-26 :

   Nonadiabatic Treatment of Nuclear Forces, II

   Junji Iwadare

5. Progress of Theoretical Physics Vol. 14 No. 1 (1955) pp. 52-64 :

   On the Meson-Theoretical Potentials

   Shoichiro Otsuki and Ryozo Tamagaki

6. Progress of Theoretical Physics Vol. 14 No. 4 (1955) pp. 303-316 :

   On the Recoil Correction to Adiabatic Nuclear Potential

   Iwao Sato, Kiyomi Itabashi and Shinji Sato

7. Progress of Theoretical Physics Vol. 25 No. 3 (1961) pp. 381-403 :

   Phase Shift and Identities in Quantized Field Theory

   Shûkô Azuma

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