Applications of the duffin-kemmer-petiau equation for the deformed woods-saxon potential in nuclear physics
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Date
2006
Authors
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Publisher
Institute of Nuclear Physics of Uzbekistan Academy of Science, Turkish Atomic Energy Authority
Abstract
There has been a recent revival of interest in the Duffm-Kemmer-Petiau (DKP) equation, and its relevance to some problems in nuclear and particle physics. DKP equation is the Dirac- like first order relativistic equation and it can define both spin-zero and spin-one particles.Recently the first-order relativistic DKP equation has been used to study the interactions of spinless mesons with nuclei. In this study, energy eigenvalues are obtained for DKP equation with the deformed Woods-Saxon potential, defined by three parameters: the depth, the radius and the surface diffuseness, for spin zero representation by using Nikiforov-Uvarov method. This method gives the solution of second order linear differential equations whose solutions leads to hypergeometric type equations. The energy spectrum numerically calculated for different values of surface diffuseness parameter of the potential at some discrete levels.
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Keywords
Duffin-kemmer-petiau equation, Duffin-kemmer-petiau denklemi, Nuclear physics, Nükleer fizik, Woods-sakson potansiyeli, Woods-sakson potansiyeli
Citation
Yaşuk, F., Berkdemir, C. ve Berkdemir, A. (2006). Applications of the duffin-kemmer-petiau equation for the deformed woods-saxon potential in nuclear physics. The Third Eurasian Conference Nuclear Science and Its Application : Proceedings, (s. 177-180). 5-8 October, 2004. Tashkent, Uzbekistan.