MacDowell Symmetry
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概要
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In the study of the scattering of a Dirac particle in a central scalar field, the following is emphasized; in order to get the full implications of the MacDowell symmetry, one has to go beyond scattering amplitudes and to see a certain property of partial-wave spinor wave functions. It is shown that the spinor wave functions with incoming boundary condition are not analytic in the lower half k-plane (k is a momentum) but have a kinematical cut running from -iM to -i∞. The second sheet wave functions are obtained by analytic continuation through this cut. This analytic continuation defines the operation which changes the sign of the total energy W and leads to precise scattering amplitudes for negative W. This exemplifies MacDowell symmetry. The reflection symmetry of fermion Regge trajectories, suggested recently, is also the immediate consequence of this property of wave functions.
- 理論物理学刊行会の論文
- 1968-11-25
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