Prog. Theor. Phys. Vol. 19 No. 3 (1958) pp. 330-338
On the Static Approximation of the γ5 Meson Theory
Department of Physics, Hokkaido University, Sapporo
(Received November 25, 1957)
The 1/m correction to the static approximation assumed by Sugawara has been estimated within the non-recoil framework in the case of the low energy pion-nucleon scattering. It is here assumed that the Foldy transformation generates a valid static Hamiltonian in the relativistic γ5-theory. It is shown that two extra parameters appear besides three renormalized coupling constants known thus far in describing S- and P-wave pion-nucleon scattering. However, a crude numerical estimate shows that they may be quite negligible. Other effect of the 1/m correction is to modify the numerical values of three coupling constants, which would, according to the present rough numerical estimate, not be so great as invalidating the static approximation assumed by Sugawara.
DOI : 10.1143/PTP.19.330
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Citing Article(s) :
Progress of Theoretical Physics Vol. 20 No. 2 (1958) pp. 149-162
Electromagnetic Properties of Nucleons
Akira Kanazawa, Shinya Furui and Tetsuro Sakuma