Abstract
It is shown that, by improving a previous theorem, the first l0(s) partial wave amplitudes determine the scattering amplitude for the scattering angle θ within an error smaller than exp [-const l0(s)sin θ/lnl0(s)] provided that l0(s)>const lns/sin θ, s being the square of the center-of-mass energy. The improvement of the error is important for the investigation of the large angle scattering at high energy. In connection with this improvement, a field theoretical model of the high-energy large-angle scattering is presented. The improvement of the lower limit of l0(s) immediately gives us the high energy bound of Kinoshita, Loeffel and Martin. The scattering of particles with spin is also discussed.
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