Discontinuities across branch cuts in the angular momentum plane
197218 pages
Published in:
- Phys.Rev.D 6 (1972) 2788-2805
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Abstract: (APS)
Integral equations for coupled-particle and Reggeon partial-wave amplitudes are presented. A construction of these equations proceeds from the unitarity relation using the notion of two-Reggeon irreducibility. From these equations, which are appropriate matrix elements of a Lippmann-Schwinger equation in two-dimensional nonrelativistic quantum mechanics, we demonstrate that the discontinuity across the two-Reggeon cut in particle scattering is equal to an integral over Reggeon-particle absorptive parts actually measurable in single-particle inclusive reactions. This provides one with a handle on the magnitude of Regge cuts. Finally we make a little model of coupled Reggeon and particle "states" and solve for the allowed partial-wave amplitudes when a pole and a two-Reggeon cut are close by. This has clear relevance for the physics of diffraction scattering near l=1 and t=0.- model: inclusive reaction
- multiple production
- regge poles
- model: regge cut
- partial wave
- bethe-salpeter equation
- approximation: effective range
- model: multiperipheral
- pomeron
- diffraction
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