Compton scattering from the proton below pion threshold: A measurement of the electric and magnetic polarizabilities of the proton
MacGibbon, Bruce Everett
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https://hdl.handle.net/2142/20599
Description
Title
Compton scattering from the proton below pion threshold: A measurement of the electric and magnetic polarizabilities of the proton
Author(s)
MacGibbon, Bruce Everett
Issue Date
1995
Doctoral Committee Chair(s)
Nathan, Alan M.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Nuclear
Language
eng
Abstract
The Compton scattering cross section on the proton was measured at laboratory angles of 90$\sp\circ$ and 135$\sp\circ$, using 70-100 MeV tagged photons, and simultaneously using 100-150 MeV untagged photons, in order to determine the electric and magnetic polarizabilities. The 135$\sp\circ$ cross section is sensitive to the difference of the electric and magnetic polarizabilities, $\bar \alpha - \bar\beta$, while the 90$\sp\circ$ cross section is sensitive to the electric polarizability $\bar \alpha$. Using the model independent sum rule constraint for $\bar \alpha$ + $\bar \beta$ and a model dependent dispersion relation calculation, the values for the polarizabilities extracted from the cross sections are:$$\bar \alpha = (12.5 \pm 0.6 \pm 0.8 \pm 0.6) \times 10\sp{-4} fm\sp3\cr \bar \beta = (1.8 \mp 0.6 \mp 0.8 \mp 0.6) \times 10\sp{-4} fm\sp3$$where the errors shown are statistical, systematic, and model, respectively.
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