The S Matrix Method in Pion Reactions
Author(s) -
T. Nakano,
K. Nishijima
Publication year - 1952
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp/8.1.53
Subject(s) - physics , pion , nucleon , formalism (music) , scattering , particle physics , s matrix , meson , matrix (chemical analysis) , nuclear physics , quantum mechanics , art , musical , materials science , composite material , visual arts
A new method which is convenient for the phenomenological analysis to explore the mutual correlations among various pion reactions is presented based on the S matrix formalism. We first study the general properties of the S matrix as it is necessary for practical purposes. Next, utilizing the results we d,iscuss the intimate correlations between the photo-meson pro duction and pion-nucleon scattering. The results seem to be promising in that it can correctly give the ratio: (at 130 Mev) which can never be deduced from the Jowest order perturbation theory. Finally, we apply this method to th~ qualitative investigation of another process, i.e. the elastic nucleon-nucleon scattering at extremely high energies, from which we can conclude that the scattered nucleons will be concentrated in the forward and backward directions in the centre of mass system.
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