Multidimensional quantum tunnelling formulation of oxygen-16 and uranium-238 reaction

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2004

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Ataol, Murat Tamer

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Multidimensional quantum tunnelling is an important tool that is used in many areas of physics and chemistry. Sub-barrier fusion reactions of heavy-ions are governed by quantum tunnelling. However, the complexity of the structures of heavy-ions does not allow us to use simple one-dimensional tunnelling equations to and the tunnelling probabilities. Instead of this one should consider all the degrees of freedom which affect the phenomenon and accordingly the intrinsic structure or the deformation of the nuclei must be taken into account in the modelling of heavy-ion fusion. These extra degrees of freedom result in a coupling potential term in the Schrodinger equation of the fusing system. In this thesis 16O + 238 U system is considered. Only the rotational deformation of Uranium is assumed and the coupling potential term is calculated for this system by using two diffrent potential types, namely the Woods-Saxon potential and the double folding potential. Using this term in the Schrodinger equation fusion probability and theoretical cross section are calculated. A discussion that addresses then necessity of multidimensional formulation is given. Besides this point the effects of the choice of the potential type are shown.

Subject Keywords

Quantum theory.

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http://etd.lib.metu.edu.tr/upload/2/12605031/index.pdf
https://hdl.handle.net/11511/14147

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. T. Ataol, “Multidimensional quantum tunnelling formulation of oxygen-16 and uranium-238 reaction,” M.S. - Master of Science, Middle East Technical University, 2004.