Theory of Π-N scattering in the strip approximation to the Mandelstam representation

Singh, Virendra ; Udgaonkar, B. M. (1961) Theory of Π-N scattering in the strip approximation to the Mandelstam representation Physical Review, 123 (4). pp. 1487-1495. ISSN 0031-899X

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Official URL: http://link.aps.org/doi/10.1103/PhysRev.123.1487

Related URL: http://dx.doi.org/10.1103/PhysRev.123.1487

Abstract

The strip approximation to the Mandelstam representation is applied to the Π-N problem, and the basic equations given. The asymptotic behavior of the invariant amplitudes in the physical regions is discussed in terms of the unitarity condition on partial-wave amplitudes, the constancy of high-energy scattering cross sections, and the Pomeranchuk theorem, and it is shown to imply that no subtractions should be necessary except in the J=½ wave of the Π-N channel and the J=0 wave of the Π+Π→N+N̅ channel. This obviates the difficulties encountered by earlier workers when they subtracted higher waves.

Item Type:Article
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ID Code:48297
Deposited On:14 Jul 2011 07:45
Last Modified:14 Jul 2011 07:45

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