Composite-Particle Scattering in Nonrelativistic Off-Shell Theory

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概要

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• On the basis of the Faddeev equations for three-body scattering amplitudes, the scattering formalism involving composite particles is investigated in comparison with the S-matrix formalism. First, the amplitude is defined by the residue at the poles corresponding to the composite particles in Faddeev's three-body scattering matrix and then the equation for our off-shell amplitude, which was firstly given by Lovelace, is reduced from the Faddeev equations by the simpler and unambiguous way. Unlike the case of the on-shell S-matrix theory, our off-shell "potential" does not give rise to any anomalous threshold, but includes the upper anomaly coming from the three-body unitary cut. In order to obtain the solution satisfying the two-body unitarity relations, an off-shell N/D method is introduced. The off-shell formalism obtained here includes the three-body cut more selfconsistently and does not require any ambiguous procedure for the treatment of the singularities due to the unstable particles, while the expediential procedure is more or less needed in the S-matrix formalism.

• 理論物理学刊行会の論文
• 1965-07-25

著者

• Mishima Nobuhiko

  Department Of Physics State University Of New York At Buffalo : College Of Science And Engineering A

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• A Generalized Lovelace Equation in the Relativistic Faddeev Formalism. II
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• Composite-Particle Scattering in Nonrelativistic Off-Shell Theory
• Mathematical Problem for the Off-Shell Method

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