Lower bounds on the total cross section and the slope parameter for some measurable sequences of s. -->. infinity
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The lower bounds on the total cross section and the slope parameter are obtained on the basis of the analyticity and polynomial upper boundedness of the scattering amplitude and the unitarity of the S matrix: sigma/sub tot/> or =Cs/sup -6/ (logs)/sup -2/, B> or =Cs/sup -5/(logs)/sup -4/ for some measurable sequences of s..-->..infinity. These bounds hold for any t in 0< or =t<4m/sup 2//sub ..pi../It is unnecessary in order to obtain our bounds that the scattering amplitude has the crossing even property. If we assume this property, we can suppress the logarithmic factors of our bounds. Also we obtain our lower bounds for any sequence of s..-->..infinity, if we take the average scattering amplitude.
- Research Organization:
- Research Institute for Fundamental Physics, Kyoto University, Kyoto, Japan
- OSTI ID:
- 5327897
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:2; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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