Sum rules from boundary dispersion relations

Sum rules for inelastic reactions are derived from boundary dispersion relations. If sufficient data or a model is available for the amplitude in the direct channel, then these sum rules provide a means of studying the dynamics in the cross channel. The convergence of these sum rules is investigated...

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Bibliographic Details
Published inNuclear physics. B Vol. 55; no. 2; pp. 587 - 600
Main Authors Hite, G.E., Jacob, R.J.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.1973
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Summary:Sum rules for inelastic reactions are derived from boundary dispersion relations. If sufficient data or a model is available for the amplitude in the direct channel, then these sum rules provide a means of studying the dynamics in the cross channel. The convergence of these sum rules is investigated, assuming they can be saturated with narrow-width resonances, and rough estimates of the coupling constants of cross-channel exchanges for the photoproduction of pseudoscalar mesons are obtained.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(73)90399-4