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Kinematics of General Scattering Processes and the Mandelstam Representation

Kibble, T. W. B. (1960) Kinematics of General Scattering Processes and the Mandelstam Representation. Physical Review, 117 (4). pp. 1159-1162. ISSN 0031-899X.

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The kinematics of an arbitrary process involving two incoming and two outgoing particles is studied in terms of the invariants used in Mandelstam's representation, treating the three processes described by the same Green's function simultaneously. It is shown that the physical regions for these processes are bounded by a cubic curve in the plane of the two independent invariants. The unitarity conditions are discussed in the approximation of neglecting intermediate states of more than two particles. The formula for the spectral functions of the double dispersion relation is obtained explicitly in terms of the invariants chosen.

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Additional Information:©1960 The American Physical Society Received 27 April 1959; revised 29 October 1959 The author would like to thank Professor Murray Gell-Mann and Dr. Stanley Mandelstam for helpful comments. He is particularly indebted to Dr. Jon Mathews for an extensive and enlightening discussion. He wishes to express his gratitude to the Commonwealth Fund of New York for the award of a fellowship.
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Deposited On:25 Oct 2006
Last Modified:26 Dec 2012 09:13

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