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Öğe Description of Exotic Nuclei with the Interacting Boson Model(Amer Inst Physics, 2008) Boyukata, M.; Van Isacker, P.; Uluer, I.Even-even nuclei in the A similar to 100 mass region are investigated within the framework of the interacting boson model-1 (IBM-1). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum, ruthenium and palladium isotopes with neutron number N >= 54. A global parametrization of the IBM-1 hamiltonian is found leading to a description of 301 collective levels in 30 nuclei with a root-mean-square deviation from the observed level energies of 119 keV The geometric character of the nuclei can be visualized by plotting the potential energy surface V(beta, gamma) obtained from the IBM-1 hamiltonian in the classical limit. The parametrization established on the basis of known elements is then used to predict properties of the unknown. neutron-rich isotopes Zr-106, (MO)-M-112, Ru-116 and Pd-120.Öğe The Effect of the Deformation Parameter on the Cross Sections for Reactions: Pd-110(d,n)Ag-111 and Pd-110(d, 2n)(110m) Ag(Maik Nauka/Interperiodica/Springer, 2018) Boyukata, M.; Sarpun, I. H.; Aydin, A.In this study, we focused on the effects of the deformation parameter on the cross sections. First, the deformation parameters of target nucleus Pd-110 was determined within the interacting boson model (IBM). Later this parameter was used in the TALYS-1.8 code to calculate the cross sections of the Pd-110(d,n)Ag-111 and Pd-110(d, 2n)(110m) Ag reactions. Moreover, other deformation parameters obtained RIPL-3 and TALYS default were used for the cross section calculation. The calculated results were compared with the experimental nuclear reaction data from EXFOR.Öğe Odd nuclei and shape phase transitions: the role of the unpaired fermion(World Scientific Publ Co Pte Ltd, 2011) Fortunato, L.; Alonso, C. E.; Arias, J. M.; Boyukata, M.; Vitturi, A.Shape phase transitions in even and odd systems are reviewed within the frameworks of the Interacting Boson Model(IBM) and the Interacting Boson Fermion Model(IBFM), respectively and compared with geometric models when available. We discuss, in particular, the case of an odd j = 3/2 particle coupled to an even-even boson core that undergoes a transition from the spherical limit U(5) to the gamma-unstable limit O(6). Energy spectrum and electromagnetic transitions, in correspondence of the critical point, display behaviors qualitatively similar to those of the even core and they agree qualitatively with the model based on the E(5/4) boson-fermion symmetry. We describe then the U-BF(5) to SUBF(3) transition when a fermion is allowed to occupy the orbits j = 1/2, 3/2,5/2. The additional particle characterizes the properties at the critical points in finite quantum systems.Öğe Review of Shape Phase Transition Studies for Bose-Fermi Systems: The Effect of the Odd-Particle on the Bosonic Core(Mdpi, 2021) Boyukata, M.; Alonso, C. E.; Arias, J. M.; Fortunato, L.; Vitturi, A.The quantum phase transition studies we have done during the last few years for odd-even systems are reviewed. The focus is on the quantum shape phase transition in Bose-Fermi systems. They are studied within the Interacting Boson-Fermion Model (IBFM). The geometry is included in this model by using the intrinsic frame formalism based on the concept of coherent states. First, the critical point symmetries E(5/4) and E(5/12) are summarized. E(5/4) describes the case of a single j = 3/2 particle coupled to a bosonic core that undergoes a transition from spherical to gamma-unstable. E(5/12) is an extension of E(5/4) that describes the multi-j case (j = 1/2,3/2,5/2) along the same transitional path. Both, E(5/4) and E(5/12), are formulated in a geometrical context using the Bohr Hamiltonian. Similar situations can be studied within the IBFM considering the transitional path from U-BF(5) to O-BF(6). Such studies are also presented. No critical points have been proposed for other paths in odd-even systems as, for instance, the transition from spherical to axially deformed shapes. However, the study of such shape phase transition can be done easily within the IBFM considering the path from U-BF(5) (spherical) to SUBF(3) (axial deformed). Thus, in a second part, this study is presented for the multi-j case. Energy levels and potential energy surfaces obtained within the intrinsic frame formalism of the IBFM Hamiltonian are discussed. Finally, our recent works within the IBFM for a single-j fermion coupled to a bosonic core that performs different shape phase transitional paths are reviewed. All significant paths in the model space are studied: from spherical to gamma-unstable shape, from spherical to axially deformed (prolate and oblate) shapes, and from prolate to oblate shape passing through the gamma-unstable shape. The aim of these applications is to understand the effect of the coupled fermion on the core when moving along a given transitional path and how the coupled fermion modifies the bosonic core around the critical points.Öğe Unexpected transitional paths in the prolate to oblate shape phase transitions for Bose-Fermi systems (vol 57, 2, 2021)(Springer, 2021) Boyukata, M.; Alonso, C. E.; Arias, J. M.; Fortunato, L.; Vitturi, A.[Abstract No tAvailable]
