Abstract
The coupled-channel equations for heavy-ion scattering are approximately solved in a closed form, in the context of semi-quantal approach. Our solutions are shown to contain dynamic polarization potentials (arising from two and/or multi-step processes) in a natural way. A closed form treatment, of the effects of dynamic polarization by Coulomb excitation, on the elastic scattering of deformed heavy-ions is also presented. As an example, we compare our results for quadrupole Coulomb excitation of184W ions by18O ions at 90 MeV, with those obtained from optical model treatments.
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This follows from the mathematical observation that\(\left\{ {[V]_{\alpha \gamma }^j e^{i\lambda _{\alpha \gamma } } } \right\}\) is a function whoset-dependence varies randomly in sign as eitherγ ort are changed. Becauset andt′ in\(\tilde \phi (t,t')\) are continuous variables, this randomness will generally constraintt to approximately equalt′ in\(\tilde \phi (t,t')\), so that\(\tilde \phi (t,t')\) is of appreciable size only in a strip in the (t−t′)-plane with a maximum aroundt=t′
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Rihan, T.H. On semi-quantal approximations to heavy-ion scattering. Z Physik A 303, 277–283 (1981). https://doi.org/10.1007/BF01421524
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DOI: https://doi.org/10.1007/BF01421524