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Öğe Accurate iterative solution of the energy eigenvalues of a two-dimensional hydrogenic donor in a magnetic field of arbitrary strength(ELSEVIER SCIENCE BV, 2007) Soylu, A.; Boztosun, I.In this paper, we present the energy eigenvalues of a two-dimensional hydrogenic donor in a magnetic field by using the asymptotic iteration method. The binding energy eigenvalues in the presence of weak and strong magnetic fields (gamma not equal 0) are obtained within the framework of this iterative approach for 1S, 2P(-) and 3D(-) levels. The energy eigenvalues for the non-magnetic field case (gamma = 0) are also determined and the results are compared with the values in weak and strong magnetic fields. The effect of the magnetic field strength on the energy eigenvalues are determined explicitly and excellent agreement with the findings of other methods is obtained. (c) 2007 Elsevier B.V. All rights reserved.Öğe An approximate solution of Dirac-Hulthen problem with pseudospin and spin symmetry for any kappa state(AMER INST PHYSICS, 2007) Soylu, A.; Bayrak, O.; Boztosun, I.For any spin-orbit quantum number kappa, the analytical solutions of the Dirac equation are presented for the Hulthen potential by applying an approximation to spin-orbit coupling potential for the case of spin symmetry, Delta(r)=C=const, and pseudospin symmetry Sigma(r)=C=const. The bound state energy eigenvalues and the corresponding spinors are obtained in the closed forms.Öğe Asymptotic iteration method solution of the energy spectrum of two-dimensional screened donor in a magnetic field(ELSEVIER SCIENCE BV, 2008) Soylu, A.; Boztosun, I.We present the energy spectrum of two-dimensional screened donor for arbitrary magnetic field strength by using the asymptotic iteration method. The binding energy eigenvalues in the presence of the weak and strong magnetic fields (gamma not equal 0) are obtained within the framework of this iterative approach for IS, 2P(-) and 3D(-) ground states. The energy eigenvalues for the non-magnetic field case (gamma = 0) are also determined and the results are compared with the weak and strong magnetic field cases. The effect of the magnetic field strength and different values of the screening parameters on the energy eigenvalues are discussed and the results are compared with findings of the other methods. (C) 2007 Elsevier B.V. All rights reserved.Öğe Effect of nuclear deformation on alpha-decay half-lives(AMER PHYSICAL SOC, 2012) Coban, A.; Bayrak, O.; Soylu, A.; Boztosun, I.We systematically investigate the influence of nuclear deformations on the alpha-decay half-lives of the deformed medium, heavy, and superheavy nuclei for 106 <= A <= 273 and 52 <= Z <= 110 from the ground state to ground state alpha transitions within the framework of the Wentzel-Kramers-Brillouin (WKB) method by considering the Bohr-Sommerfeld quantization condition. The deformed Wood-Saxon form in a phenomenological way and the deformed Coulomb potential in a special form have been used in order to take into account all deformation effects in the calculations and the preformation of the parent nuclei have also been regarded. Calculations have been conducted for the spherical nuclei in order to present clearly the effects of the deformations on the half-lives. We point out that all considerations have improved the results and very good agreement has been obtained with experimental data.Öğe Effect of the Velocity-Dependent Potentials on the Bound State Energy Eigenvalues(IOP PUBLISHING LTD, 2011) Bayrak, O.; Soylu, A.; Boztosun, I.We investigate the effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues for the first time for any quantum states of the Coulomb and harmonic oscillator potentials within the framework of the asymptotic iteration method. When the velocity-dependent term is selected as a constant parameter rho(0), we present that the energy eigenvalues can be obtained analytically for both Coulomb and harmonic oscillator potentials. However, when the velocity-dependent term is considered as a harmonic oscillator type rho(0)r(2), taking the velocity-dependent term as a perturbation, we present how to obtain the energy eigenvalues of the Coulomb and harmonic oscillator potentials for any.. and l quantum states by using perturbation expansion and numerical calculations in the asymptotic iteration method procedure.Öğe Exact solutions of Klein-Gordon equation with scalar and vector Rosen-Morse-type potentials(IOP PUBLISHING LTD, 2008) Soylu, A.; Bayrak, O.; Boztosun, I.We obtain an exact analytical solution of the Klein-Gordon equation for the equal vector and scalar Rosen-Morse and Eckart potentials as well as the parity-time ( PT) symmetric version of the these potentials by using the asymptotic iteration method. Although these PT symmetric potentials are non-Hermitian, the corresponding eigenvalues are real as a result of the PT symmetry.Öğe Higher twist effects in proton-proton collisions(WORLD SCIENTIFIC PUBL CO PTE LTD, 2006) Ahmadov, A. I.; Boztosun, I.; Muradov, R. Kh.; Soylu, A.; Dadashov, E. A.In this article, we investigate the contribution of the high twist Feynman diagrams to the large-P-T pion production cross section in proton-proton collisions and we present the general formulae for the high and leading twist differential cross sections. The pion wave function where two non-trivial Gegenbauer coefficients a(2) and a(4) have been extracted from the CLEO data, two other pion model wave functions, P-2, P-3, the asymptotic and the Chernyak-Zhitnitsky wave functions are used in the calculations. The results of all the calculations reveal that the high twist cross sections, the ratios R, r, the dependence transverse momentum P-T and the rapidity y of pion in the Phi(CLEO)(x, Q(2)) wave function case is very close to the Phi(asy) (x) asymptotic wave function case. It is shown that the high twist contribution to the cross section depends on the choice of the meson wave functions.Öğe Kappa State Solutions of Dirac-Hulthen and Dirac-Eckart Problems with Pseudospin and Spin Symmetry(AMER INST PHYSICS, 2008) Soylu, A.; Bayrak, O.; Boztosun, I.; Boztosun, I; Balantekin, ABIn this study, the analytical solutions of the Dirac equation have been presented for the Hulthen and Eckart potentials by applying an approximation to centrifugal-like term in the case of spin symmetry, Delta(r)=C=constant, and pseudospin symmetry, Sigma(r)=C=constant, for any spin-orbit quantum number x. The energy eigenvalues and corresponding spinor wave functions are obtained in the closed-forms.Öğe kappa state solutions of the Dirac equation for the Eckart potential with pseudospin and spin symmetry(IOP PUBLISHING LTD, 2008) Soylu, A.; Bayrak, O.; Boztosun, I.For any spin-orbit coupling term kappa, the analytical solutions of the Dirac equation for the Eckart potential are presented by using the asymptotic iteration method within the framework of the spin and pseudospin symmetry concept. The energy eigenvalues are obtained in the closed form by applying an approximation to the spin-orbit coupling potential.Öğe Photonuclear reactions induced by a clinical linac(IOP PUBLISHING LTD, 2015) Boztosun, I.; Dapo, H.; Karakoc, M.; Ozmen, S. F.; Cecen, Y.; Coban, A.; Kucuk, Y.The use of a clinical linac in photonuclear experiments is a novel concept. At Akdeniz University a program has been started focused on inducing photonuclear reactions with a Philips SLI-25 clinical linac. A bremsstrahlung photon beam produced by the linac is used to create radioactive nuclei. The decay of said nuclei is observed with a high-purity germanium detector. During the course of the experiment the spectrum of the irradiated sample is recorded. By analyzing the spectrum the energies of gamma-ray transitions in the daughter nuclei as well as the half-life of the parent nucleus are obtained. The results obtained thus far, starting with Zinc nuclei will be presented.Öğe Photonuclear reactions with zinc: A case for clinical linacs(SPRINGER HEIDELBERG, 2015) Boztosun, I.; Dapo, H.; Karakoc, M.; Ozmen, S. F.; Cecen, Y.; Coban, A.; Harakeh, M. N.The use of bremsstrahlung photons produced by a linac to induce photonuclear reactions is wide spread. However, using a clinical linac to produce the photons is a new concept. We aimed to induce photonuclear reactions on zinc isotopes and measure the subsequent transition energies and half-lives. For this purpose, a bremsstrahlung photon beam of 18 MeV endpoint energy produced by the Philips SLI-25 linac has been used. The subsequent decay has been measured with a well-shielded single HPGe detector. The results obtained for transition energies are in good agreement with the literature data and in many cases surpass these in accuracy. For the half-lives, we are in agreement with the literature data, but do not achieve their precision. The obtained accuracy for the transition energies show what is achievable in an experiment such as ours. We demonstrate the usefulness and benefits of employing clinical linacs for nuclear physics experiments.Öğe Role of the cluster deformations in explaining the exotic decay half-lives(SPRINGER, 2012) Soylu, A.; Sert, Y.; Bayrak, O.; Boztosun, I.We investigate the influence of nuclear deformations of the cluster and daughter nuclei on the exotic cluster decay half-lives of 221 <= A <= 242 for the favored cluster decay of the radioactive nuclei by using the semiclassical WKB method and the Bohr-Sommerfeld quantization condition. The results have also been presented for the spherical nuclei case in order to show clearly the effects of the deformations on the exotic decay half-lives. The half-lives become close to the experimental data when both the deformation of daughter and cluster nuclei are taken into account in the calculations. Furthermore, considering cluster deformations together with the orientation angles of daughter and cluster also provides positive contributions to the results.Öğe The energy eigenvalues of the two dimensional hydrogen atom in a magnetic field(WORLD SCIENTIFIC PUBL CO PTE LTD, 2006) Soylut, A.; Bayrak, O.; Boztosun, I.In this paper, the energy eigenvalues of the two dimensional hydrogen atom are presented for the arbitrary Larmor frequencies by using the asymptotic iteration method. We first show the energy eigenvalues for the case with no magnetic field analytically, and then we obtain the energy eigenvalues for the strong and weak magnetic field cases within an iterative approach for n = 2 - 10 and m = 0 - 1 states for several different arbitrary Larmor frequencies. The effect of the magnetic field on the energy eigenvalues is determined precisely. The results are in excellent agreement with the findings of the other methods and our method works for the cases where the others fail.Öğe The relativistic treatment of spin-0 particles under the rotating Morse oscillator(AMER INST PHYSICS, 2010) Bayrak, O.; Soylu, A.; Boztosun, I.We present the energy eigenvalues and corresponding normalized eigenfunctions of the relativistic spin-0 particles by solving the Klein-Gordon equation. Analytical forms for the energy eigenvalues and eigenfunctions have been derived by using Pekeris approximation to the centrifugal term within the framework of the asymptotic iteration method for the equal vector and scalar rotating Morse oscillator. The eigenvalue equation results in a transcendental form, in which the numerical values are presented in atomic units for arbitrary n and quantum states. (c) 2010 American Institute of Physics. [doi:10.1063/1.3503413]
