Construction of Unitary Scattering Amplitudes
May 1, 19619 pages
Published in:
- Phys.Rev. 122 (1961) 983-992
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Abstract: (APS)
A general linear technique is discussed which constructs unitary scattering amplitudes without expanding in partial waves and in the presence of inelastic channels. Two- and three-particle intermediate states are discussed explicitly, but the method can be extended directly to any finite number of particles.
A new approximation technique suggested by this formalism is applied to electroproduction of pions from pions and pion-K-meson scattering. A form of the impulse approximation is derived for both the coupled form factor and the coupled scattering amplitude problems. The nucleon and deuteron form factor system is briefly discussed.
Finally, a model field theory which contains three-particle intermediate states is formulated and solved by the linear technique for purely pedagogical reasons.References(19)
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