Ihsan Uluer

A correspondence between IBA-1 and IBA-2 models and electromagnetic transitions in the decay of some erbium isotopes

The interacting boson approximation IBA-1 model space, in which neutron and proton degrees of freedom are not distinguished, can be considered as a subspace of the IBA-2 model space. Using the microscopic background of the IBA-2 model, a correspondence can be established between IBA-1 and IBA-2 model space. Since the space of the IBA-1 model can be regarded as a subspace of the IBA-2 model there is a unique way to ‘Project’ the operators of the IBA-2 model onto those of IBA-1. This projection can be carried out using theF-spin formalism. In the IBA-2 model, the lowest states are indeed fully symmetric, and using the calculations with the help of this projection, we explore the energy levels and the electric quadrupole transition probabilitiesB(E2; {ie393-01}) and γ-ray E2/M1 mixing ratios for selected transitions of162, 164, 166, 168, 170Er. Owing to admixtures of non-fully-symmetric states in IBA-2, we renormalized the parameters (ε) and (κ). This is the first time we show that this projection can be applied to some heavier isotopes and the results obtained for162, 164, 166, 168, 170Er isotopes are reasonably in good agreement with the previous experimental values.

Some Electromagnetic Transition Properties of Odd-A Europium Isotopes

In this work, we analyze the positive parity of states of odd-A Eu isotopes within the framework of interacting boson fermion model (IBFM-1). The result of an IBFM-1 multilevel calculation with the 3s1/2, 2d3/2, 2d5/2, and 1g7/2 single particle orbits is reported for the positive parity states of the odd-A Eu isotopes. Also, an IBM-1 calculation is presented for the low-lying states in the even-even 152−154Sm core nucleus. The energy levels and B(E2) transition probabilities are calculated and compared with the experimental data. It is found that the calculated positive parity low spin state energy spectra of the odd-A Eu isotopes agree quite well with the experimental data.

The Investigation of Multipolarity of the Electromagnetic Transitions in Some Even-Even Hf Isotopes

The aim of this work is to describe the results of calculation of multipole mixtures in some even-even Hf isotopes. Deformed nuclei have been studied for many years and an enormous quantity of detailed spectroscopy now exsts. But yet, our understanding of these nuclei remains suprisingly limited. The medium-to heavy-mass hafnium (Hf) isotopes are located in the rare-earth mass region where well-deformed nuclei can be populated to very high spin. The IBA model [1] has been applied to deformed nuclei [2], usually with considerable success [3, 4]. As a result of the phenomenological description of deformed nuclei in IBM, Hf isotopes has been occupied along the SU(3)-O(6) leg of the IBM triangle. In this work, we have carried out calculations for such isotopes and obtained reasonably good agreement with emprical systematics in the region. The aim of this work is to describe the results of calculation of multipole mixtures in 174,176,178,180Hf.