Effects on the energy eigenvalues of the diffuseness parameter of the woods-saxon potential in heavy-ion fusion
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Date
2006
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Publisher
Institute of Nuclear Physics of Uzbekistan Academy of Science, Turkish Atomic Energy Authority
Abstract
The interactions between nuclei are commonly described using a potential which consists of the well-known repulsive Coulomb and the attractive nuclear potential which is usually taken to be of Woods-Saxon form. For the elastic scattering problems, the value of the diffuseness parameter of Woods-Saxon potential extracted by fitting precise fusion cross sections is considerably larger than the value of ≈ 0.63 fm usually accepted as a typical value. Having obtained exact solutions of the Schrödinger equation with a standard form of the deformed single-particle Woods-Saxon potential by referring Nikiforov-Uvarov method, energy eigenvalues for different values of this parameter are calculated numerically and effects on the bound states of the energy spectrum of it are discussed in heavy-ion fusion. In addition, the energy eigenvalues of the Woods-Saxon potential are investigated within the framework of complex quantum mechanics formulation.
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Keywords
Heavy-ion fusion, Ağır iyon füzyonu, Energy eigenvalues, Enerji özdeğerleri, Woods-saxon potential, Woods-sakson potansiyeli, Diffuseness parameter, Yaygınlık parametresi
Citation
Berkdemir, C. (2006). Effects on the energy eigenvalues of the diffuseness parameter of the woods-saxon potential in heavy-ion fusion. The Third Eurasian Conference Nuclear Science and Its Application : Proceedings, (s. 140-143). 5-8 October, 2004. Tashkent, Uzbekistan.