UNITARITY AND REDUCTION FORMULAS; PRELIMINARY VERSION.

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Abstract:

The content of x-space reduction formulas in q-space is discussed using the example of fermion-boson scattering. The splitting of the T-operator is shown to correspond to a natural decomposition of the unitarity condition for T, and may be deduced from unitarity alone. Reality conditions for M sub 1 are derived from q-space properties without reference to x-space. Necessary and sufficient conditions are given for T being unitary. Iteration methods are developed which lead to a determination of elastic amplitudes starting with one-particleexchange-contributions, i.e., pole terms and form factors, and the whole contribution from inelastic processes as input force. The essential part of the iteration method is a prescription to construct off-shell elements, especially off-shell-one-particle-exchange-contributions.

Author(s):
No Author(s) Identified
Author Organization(s):
MARBURG UNIV (WEST GERMANY) INSTITUT FUER THEORETISCHE PHYSIK
Supplementary Note:
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Annotation:
Unitarity and reduction formulas; preliminary version.
Pagination:
0024

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AFOSR-65-0650
Contract/Grant Number(s):
AF61 052 658
Monitor Series:
65-0650
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*S MATRIX, *INTEGRALS, RELATIVITY THEORY, NUCLEAR SCATTERING, NUCLEAR SCATTERING, ITERATIONS, MATRICES(MATHEMATICS), OPERATORS(MATHEMATICS), BOSONS, FERMIONS, ELASTIC SCATTERING, INELASTIC SCATTERING, PERTURBATION THEORY
Keyword(s):
UNITARITY
Report Date:
1964 Jan 01