Prog. Theor. Phys. Vol. 13 No. 2 (1955) pp. 189-199

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Nonadiabatic Treatment of Nuclear Forces, I

— Static Limit —

Junji Iwadare

Department of Physics, Kyoto University, Kyoto

(Received January 19, 1955)

Abstract:

A method of the canonical transformation is applied to the problem of nuclear forces. Here the nucleon field as well as the meson field is quantized. One can obtain the expressions for potentials which do not contain the total energy of the system explicitly. The 2nd and 4th order potentials are evaluated in the Ps(ps) meson theory. The practical calculations are performed up to the order (µ/2M)⁴ for the one- and the two-pair terms, and up to the order (µ/2M)⁵ for the no-pair terms in the static limit p/M→0. The reuslts are in agreement with Klein's calculation. Nonstatic corrections will be treated in the forthcoming paper.

URL : http://ptp.ipap.jp/link?PTP/13/189/
DOI : 10.1143/PTP.13.189

References:

M. M. Lévy, Phys. Rev. 88 (1952), 725[APS].
A. Klein, Phys. Rev. 90 (1953), 1101[APS].
a) Fukuda, Sawa and Taketani, Prog. Theor. Phys. 12 (1954) 156[PTP].
S. Okubo, Prog. Theor. 12 (1954), 603.
K. A. Brueckner and K. M. Watson, Phys. Rev. 92 (1953), 133[APS].
For example: C. Møller and L. Rosenfeld, Kgl. Danske Videnskab. Selskab. Mat. -Fys. Medd. 17 (1940), 232.
K. Nishijima, Prog. Theor. Phys. 6 (1951), 815[PTP]; ibid. 6 (1951), 911[PTP].
S. Tani, Prog. Theor. Phys. 6 (1951), 267[PTP].
L. L. Foldy and S. A. Woutheysen, Phys. Rev. 78 (1950), 29[APS].
Berger, Foldy and Osborn, Phys. Rev. 87 (1951), 1061[APS].
Taketani, Machida and Onuma, Prog. Theor. Phys. 7 (1952), 45[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 14 No. 1 (1955) pp. 16-26 :
Nonadiabatic Treatment of Nuclear Forces, II

Junji Iwadare
Progress of Theoretical Physics Vol. 19 No. 1 (1958) pp. 17-30 :
Two-Pion-Exchange Nuclear Potential

Michiji Konuma, Hironari Miyazawa and Shoichiro Otsuki