π-N Interactions in Gev Region

概要

論文の詳細を見る
π-N Interactions in an energy region near 1.0 Gev are studied by means of the simple ray optical model. The energy dependences of the optical parameters, the absorption coefficient K and the index of refraction k_1, are determined so as to reproduce the behaviours of the real and imaginary parts of the forward scattering amplitude, which are calculated from the observed total cross sections σ_T by making use of the dispersion relations. For convenience sake, the target radius of the nucleon is taken as 1.3, 1.5, or 1.6×10^<-13>cm and is assumed to have no energy dependence. The energy dependence of K is similar to that of σ_T, but k_1 displays a very different dependence, which is characterized by the fact that k_1 takes a negative value in an energy region below the energy corresponding to the maximum σ_T. Using the obtained K and k_1, the elastic, inelastic, and exchange scattering cross sections for π-N collisions are calculated. According to our analysis, the choice for the nucleon radius as 1.6×10^<-13>cm seems to be consistent with experimental data. The bump which appears in the backward hemisphere of the angular distribution for the elastically scattered pions at 1.0 Gev, is explained by contributions from the spin flipped scatterings in D wave.
理論物理学刊行会の論文
1958-04-25