Abstract

A Liu-Okubo-type dispersion relation is derived for the crossing-even pion-nucleon forward elastic scattering amplitude T(+). Two subtractions are made, one at the physical scattering threshold and the other at a previously determined zero of T(+) on the imaginary axis of the complex ω (pion lab energy) plane. The dispersion relation is well satisfied over the whole allowed range of the Liu-Okubo parameter. Moreover, it is nearly saturated by low-energy scattering for a considerable range of the parameter. It should thus serve as an extremely sensitive test of the low-energy scattering data when such data become more accurately known.

Department(s)

Physics

International Standard Serial Number (ISSN)

0031-899X

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1968 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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