Exact analytical solution to the relativistic Klein-Gordon equation with non-central equal scalar and vector potentials

We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the non-central equal scalar and vector potentials by using Nikiforov-Uvarov (NU) method. The exact bound state energy eigenvalues and corresponding eigenfunctions are obtained for a particle bound in a potential of $V(r,\theta) = \frac{\alpha}{r} + \frac{\beta}{r^2\sin ^2\theta} + \gamma \frac{\cos \theta}{r^2\sin ^2\theta}$ type.Comment: 12 pages, accepted for publication in Journal of Mathematical Physic

An Exactly Solvable Supersymmetric Model of Semimagic Nuclei

A simple model of nucleons coupled to angular momentum zero (s-pairs) occupying the valance shell of a semi-magic nuclei is considered. The model has a separable, orbit dependent pairing interaction which dominates over the kinetic term. It is shown that such an interaction leads to an exactly solvable model whose (0+) eigenstates and energies can be computed very easily with the help of the algebraic Bethe ansatz method. It is also shown that the model has a supersymmetry which connects the spectra of some semimagic nuclei. The results obtained from this model for the semimagic Ni isotopes from 58Ni to 68Ni are given. In addition, a new and easier technique for calculating the energy eigenvalues from the Bethe ansatz equations is also presented.Comment: Talk given at the International Conference on Nuclear Physics and Astrophysics: From Stable Beams to Exotic Nuclei, Cappadocia, June 200

0+ states in the large boson number limit of the Interacting Boson Approximation model

Studies of the Interacting Boson Approximation (IBA) model for large boson numbers have been triggered by the discovery of shape/phase transitions between different limiting symmetries of the model. These transitions become sharper in the large boson number limit, revealing previously unnoticed regularities, which also survive to a large extent for finite boson numbers, corresponding to valence nucleon pairs in collective nuclei. It is shown that energies of 0_n^+ states grow linearly with their ordinal number n in all three limiting symmetries of IBA [U(5), SU(3), and O(6)]. Furthermore, it is proved that the narrow transition region separating the symmetry triangle of the IBA into a spherical and a deformed region is described quite well by the degeneracies E(0_2^+)=E(6_1^+), E(0_3^+)=E(10_1^+), E(0_4^+)=E(14_1^+), while the energy ratio E(6_1^+) /E(0_2^+) turns out to be a simple, empirical, easy-to-measure effective order parameter, distinguishing between first- and second-order transitions. The energies of 0_n^+ states near the point of the first order shape/phase transition between U(5) and SU(3) are shown to grow as n(n+3), in agreement with the rule dictated by the relevant critical point symmetries resulting in the framework of special solutions of the Bohr Hamiltonian. The underlying partial dynamical symmetries and quasi-dynamical symmetries are also discussed.Comment: 6 pages, 4 postscript figures, LaTeX. To appear in the Proceedings of the International Conference on Nuclear Physics and Astrophysics: From Stable Beams to Exotic Nuclei (Cappadocia, 2008

Miyokart infarktüsü sonrası erken dönemde gelişen akut ciddi mitral yetersizliğinin perkütan tedavisi ve kısa literatür özeti

Transcatheter edge-to-edge repair treatment is mainly used for patients with chronic heart failure concomitant severe mitral regurgitation. However, utilization of this system in the acute seting of myocardial infarction is still limited. In this case report authors aimed to show the effectiveness of the percutaneous treatment for severe acute mitral regurgitation early after myocardial infarction.Transkateter uç uca onarım temel olarak ciddi mitral yetersizliğinin eşlik ettiği kronik kalp yeter- sizliği hastalarında kullanılmaktadır. Ancak bu sistemin miyokart infarktüsünün akut fazında kullanımı henüz sınırlıdır. Yazarlar bu olgu sunumunda miyokart infarktüsü sonrası erken dönemde gelişen akut ciddi mitral yetersizliğinde perkütan tedavinin etkinliğini göstermeyi amaçlamışlardır

Recent results on heavy-ion induced reactions of interest for neutrinoless double beta decay at INFN-LNS

Abstract. The possibility to use a special class of heavy-ion induced direct reactions, such as double charge exchange reactions, is discussed in view of their application to extract information that may be helpful to determinate the nuclear matrix elements entering in the expression of neutrinoless double beta decay halflife. The methodology of the experimental campaign presently running at INFN - Laboratori Nazionali del Sud is reported and the experimental challenges characterizing such activity are describe

NURE: An ERC project to study nuclear reactions for neutrinoless double beta decay

Neutrinoless double beta decay (0νββ) is considered the best potential resource to access the absolute neutrino mass scale. Moreover, if observed, it will signal that neutrinos are their own anti-particles (Majorana particles). Presently, this physics case is one of the most important research “beyond Standard Model” and might guide the way towards a Grand Unified Theory of fundamental interactions. Since the 0νββ decay process involves nuclei, its analysis necessarily implies nuclear structure issues. In the NURE project, supported by a Starting Grant of the European Research Council (ERC), nuclear reactions of double charge-exchange (DCE) are used as a tool to extract information on the 0νββ Nuclear Matrix Elements. In DCE reactions and ββ decay indeed the initial and final nuclear states are the same and the transition operators have similar structure. Thus the measurement of the DCE absolute cross-sections can give crucial information on ββ matrix elements. In a wider view, the NUMEN international collaboration plans a major upgrade of the INFN-LNS facilities in the next years in order to increase the experimental production of nuclei of at least two orders of magnitude, thus making feasible a systematic study of all the cases of interest as candidates for 0νββ

Asymptotic Iteration Method solution of the supersymmetric Schrödinger Equation

In this study, we have proposed the Supersymmetric-Asymptotic Iteration Method to solve the radial Schrodinger equation for a number potentials. We examine the Harmonic Oscillator, Kratzer, Morse and Hulthen potentials and obtain the exact energy eigenvalues and the corresponding eigenfunctions for given potentials. Our results are in excellent agrement with the findings of other methods