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Prog. Theor. Phys. Vol. 13 No. 4 (1955) pp. 389-404

On Higher Order Corrections in the Meson Theory of Nuclear Forces

Shigeru Machida and Kei Senba

Department of Physics, University of Hiroshima, Hiroshima

(Received December 19, 1954)

Abstract:

Effects of higher order corrections to the second plus fourth order adiabatic nuclear potentials are discussed in the symmetrical pseudoscalar meson theory with pseudovector coupling, in order to make clear the region of its applicability. For that purpose we have calculated the sixth order adiabatic potentials, where only such terms have been taken into account that mesons emitted by a nucleon are absorbed by another nucleon.
Although the nuclear potential in the triplet even state changes its sign according as intermediate states with only two nucleons are included or not, the second plus fourth order adiabatic potentials are not altered seriously by the inclusion of the sixth order effects in the “outside region” (r\gtrsim0.6 ∼0.7/µ where µ is the inverse Compton wave length for π-meson).
Effects of the binding of the two nucleons in the intermediate states are also estimated, which turned out to be unimportant in the “outside region”. Accordingly, the second plus fourth order adiabatic potentials have a sufficiently large region of applicability for low energy phenomena.

URL : http://ptp.ipap.jp/link?PTP/13/389/
DOI : 10.1143/PTP.13.389

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References:

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   Unfortunately some of the values in the Table 3 of this paper were not correct because of some errors in numerical calculations.
   Corrected values with an appropriate inside cut off of the triplet even potential have been given in reference 2).
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