We present a family of sum rules which relate the proton electromagnetic form factors to proton electroproduction cross sections. These sum rules provide a test of the local commutation properties of the electric current operators.
Finite energy sum rules for forward compton scattering
โ Scribed by M. Kugler; M. Milgrom
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 761 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
โฆ Synopsis
The wide-ranging interest of Amos de Shalit in all fields of physics has helped and encouraged many younger people, and not only in his own field of research. Those of us who have enjoyed his penetrating insight and constructive criticism in many branches of physics will find it proper to dedicate to his memory a paper even when the subject is very remote from his own research.
We discuss the resonance saturation of finite energy sum rules for forward Compton scattering on protons and neutrons. With rather low cut-off we are able to predict the high energy Regge behaviour, excepting the Pomeranchuk trajectory. This agrees with experiment where data are available. In addition to moving poles, fixed poles are present. We bring evidence that these cannot be completely obtained from resonances alone. We discuss mechanisms which make the fixed poles disappear as q2 is varied from zero to nlpz.
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