Prog. Theor. Phys. Vol. 12 No. 6 (1954) pp. 758-766
Kinematical Investigation of the S-matrix
Research Institute for Fundamental Physics, Kyoto University
(Received September 16, 1954)
A general method is proposed to investigate the kinematical properties of the S-matrix in a covariant manner, independent of the method of approximation and the type of interaction. The S-matrix is separated into a definite number of independent bases, i. e., the kinematical parts and their dynamical coefficients. The number and types of such kinematical bases are obtained for one fermion problems and boson decay processes. As an application we can derive some absolute selection rules for three body decays. For example, a spin 0 particle cannot decay into three photons, any two of which making an angle of 120° with each other. The same result holds for the decay of a spin 1 particle into three identical spin 0 particles. Some of our results are useful for analysing the decay of τ-meson.
DOI : 10.1143/PTP.12.758
C. N. Yang, Phys. Rev. 77 (1950), 242[APS].
- D. C. Peaslee, Helv. Phys. Acta 23 (1950), 845.
L. Wolfenstein and J. Ashkin, Phys. Rev. 85 (1952), 947[APS].
- M. Kawaguchi and N. Mugibayashi, Prog. Theor. Phys. 8 (1952), 212[PTP].
- Z. Koba, T. Kotani and S. Nakai, Prog. Theor. Phys. 6 (1951), 849[PTP].
- R. H. Dalitz, Phil. Mag. 44 (1953), 1068.
R. H. Dalitz, Phys. Rev. 94 (1954), 1064[APS].
K. Brueckner and K. Watson, Phys. Rev. 86 (1952), 923[APS].
J. M. Blatt and L. C. Biedenharn, Rev. Mod. Phys. 24 (1952), 258[APS].
L. Wolfenstein and D. G. Ravenhall, Phys. Rev. 88 (1952), 279[APS].
- L. Michel, Compt. Rend. Acad. Sci. Paris 234 (1951), 703.
- H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 392[PTP].
J. Steinberger, Phys. Rev. 76 (1949), 1180[APS].