Subtraction in the Chew-Mandelstam Equation and Determination of the Low-Energy Scattering Amplitude
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概要
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The subtracted Chew-Mandelstam equation is studied in the approximation that the contributions from the unphysical branch cut are neglected. The following result is found: When the cut-off function is introduced into the Chew-Mandelstam equation, the subtracted Chew-Mandelstam equation has a new kind of solutions which are not the solutions of the unsubtracted equation. On the other hand, any new solutions are not obtained in the no cut-off case and the subtracted equation becomes equivalent to the unsubtracted one. It is shown in the cut-off case that the new solution has a very different feature from those of the solutions of the unsubtracted equation when the repulsive interaction is introduced by means of the subtraction and that the new solution has at least one zero on the real axis. The dynamical and kinematical resonances appearing in the solutions are also discussed.
- 理論物理学刊行会の論文
- 1961-11-25
著者
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Kanki Takeshi
Institute of Physics, College of General Education, Osaka University
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Kanki Takeshi
Institute Of Physics College Of General Education Osaka University
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Kanki Takeshi
Institute Of Physics College Of General Education Osaka Univeristy
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