Total Cross Sections at High Energies

概要

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High energy behaviors of forward elastic scattering amplitudes of particles with spin -^^<1 are studied by making use of the Regge pole model. In the model forward elastic scattering amplitudes are expressed in terms of four types of Regge trajectories associated with the four types of S=0 mesons, (i) P=(-1)^J, C=(-1)^J, (ii) P=(-1)^J, C=-(-1)^J, (iii) P=-(-1)^J, C=(-1)^J, (iv) P=-(-1)^J, C=-(-1)^J. The relation between two Regge trajectories is found to be one of the following four types. (A) Mother and Daughter, α(i)j(0)=α(ii)j(0)±1 and α(iii)j(0)=α(iv)j(0)±1. There are relations among pole residues such as [β(iii)_j(0)]^2=(2α_j+1)α_<j^-1>(α_j+1)^<-1>[β(iv)_j(0)]^2 for α(iv)j(0)=α(iii)j(0)+1=α_j. A mother and its daughter have opposite signatures. (B) Twin, α(i)j(0)=α(iii)j(0) and α(ii)j(0)=α(iv)j(0). There are relations among pole residues such as [β(iii)_j(0)]^2=α_j(α_j+1)^<-1>[β(i)_j(0)]^2 for α(i)j(0)=α(iii)j(0)=α_j. A twin has a same signature, and a member of a twin can be a mother or dauthter. (C) Isolation. The relations between α and/or the ralations between β are not satisfied. (D) Father and Son, α(i)j(0)=α(iv)j(0)±1 and α(ii)j(0)=α(iii)j(0)±1. A father and its son have opposite signatures. The consequences of the model with and without these assumptions to high energy forward elastic scattering amplitudes are studied.
理論物理学刊行会の論文
1967-05-25