Browsing by All Authors "Berkdemir, C."

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    Applications of the duffin-kemmer-petiau equation for the deformed woods-saxon potential in nuclear physics
    (Institute of Nuclear Physics of Uzbekistan Academy of Science, Turkish Atomic Energy Authority, 2006) Yaşuk, F.; Berkdemir, C.; Berkdemir, A.; 141609; Bölüm Yok
    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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    Effects on the energy eigenvalues of the diffuseness parameter of the woods-saxon potential in heavy-ion fusion
    (Institute of Nuclear Physics of Uzbekistan Academy of Science, Turkish Atomic Energy Authority, 2006) Berkdemir, C.; Berkdemir, A.; Sever, R.; 123400; Bölüm Yok
    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.