Exact Upper Bound for Pion-Nucleon Coupling Constant

概要

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An exact upper bound for pion-nucleon coupling constant g which has been originally discovered by Geshkenbein and Ioffe has been rederived without assuming numbers of subtractions for spectral representation of S_Fp). Also, it has been proved that their bound is violated if and only if the ghost-like pole discussed by Goebel and Sakita appears, when S_Fp) has one zero point. It is computed that the bound leads to g^2-^^<20 in the exact SU(3) limit, which is very close to the experimental value g^2=15. The d and f coefficients of baryonmeson octet coupling constants are shown to be restricted to 0.30-^^<d-^^<0.94. Also, the renormalization constant Z_2 of the nucleon must satisfy 0.85-^^>Z_2-^^GT;0, irrespective of any dynamical detail.
理論物理学刊行会の論文
1972-12-25