P-Wave Resonance in Pion-Pion Scattering

概要

論文の詳細を見る
Pion-pion scattering in the I=l=1 state is treated by the Tamm-Dancoff method. By making an approximation in which configurations containing up to three particles of meson and nucleon pair are taken into account in the 4th order pion-pion interaction kernel, the existence of resonance is concluded. By adjusting the coupling constant g^2/4π between pion and nucleon so as to fit the pion-pion scattering length a=0.1~0.3^<-3> in the I=l=1 state, we have found the resonance level of 600~400 Mev and resonance width of 140~40 Mev, which is quite consistent with what adopted by Takeda et al. in their theory of the 2nd~r3rd maximum in pion-nucleon scattering and also by Frazer-Fulco in the explanation of isotopic vector magnetic form factor of a nucleon. We adopt g^2/4π=6.1~6.8, which is somewhat smaller than the conventional one. This small coupling constant is interpreted as due to the inclusion of the effects of scattering and annihilation of a virtual nucleon pair.
理論物理学刊行会の論文
1961-05-25