Correlations in alpha-alpha scattering and semi-classical optical models |
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Authors: | Cucinotta F A Khandelwal G S Townsend L W Wilson J W |
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Institution: | Physics Department, Old Dominion University, Norfolk, VA 23508, USA. |
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Abstract: | We show the equivalence of semi-classical solutions to optical model coupled-channel equations derived from Watson's form of the nucleus-nucleus multiple-scattering series to the Glauber multiple-scattering series. A second-order solution to the semi-classical coupled-channel elastic amplitude is shown to be nearly equivalent to a second-order optical-phase-shift approximation to the Glauber amplitude if the densities of all nuclear excited states are approximated by the ground-state density. Using the Jastrow method to model the two-body density we find an average excited-state density to be of negligible importance in the double-scattering region of alpha-alpha scattering. |
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