Calculation of Nuclear Properties for 56–62Fe Isotopes in the Model Space (HO) Using NuShellX@MSU Code

The nuclear shell model has been applied to calculate the yrast energy levels, quadrupole transition probability (BE2), deformation parameter B2, rotational energy (hw), and inertia moment (20/h2) for the ground state band. The NuShellX@MSU code has been used to determine the nuclear properties of 56−62Fe isotopes, by using the harmonic oscillator (HO) model space for P (1f7/2), N (2p3/2), N (1f5/2), and N (2p1/2) orbits and (HO) interaction. The results are in good agreement with the available experimental data on the above nuclear properties and all nuclei under study. In addition, the back bending phenomenon has been explained by the calculations, and it has been very clear in 58,60,62Fe nuclei. It has also been confirmed and determined the most spins and parities of energy levels. In these calculations, new values have been theoretically determined for the most nuclear properties which were previously experimentally unknown.

Study of High-spin States for 90,91,92Y Isotopes by Using Oxbash Code

In this paper, calculations of 90,91,92Y isotopes have been performed by application of nuclear shell model in the Gloeckner (Gl) model space for two different interactions (Gloeckner (Gl) and Gloeckner pulse bare G-Matrix (Glb) using Oxbash code. The energy levels are compared and discussed with experimental data and based on our results, many predictions about spins and parity were observed between experimental states, in addition to the predictions of low-energy spectra and B (E2; ↓) and B (M1; ↓)) transitional strengths in the isotopes 90,91,92Y. These predictions were not known in the experimental data. Keywords: Energy levels, Transition probabilities, Oxbash code.

Study of the Electric Quadrupole Transitions in 50-51Mn Isotopes by Using F742pn and F7cdpn Interactions

The nuclear shell-model has been used to compute excitation levels of ground band and electric quadrupole transitions for 50-51Mn isotopes in f-shell. In the present study, f742pn and f7cdpn effective interactions have been carried out in full f-shell by using Oxbash Code. The radial wave functions of the single-particle matrix elements have been calculated in terms of the harmonic oscillator (Ho) and Skyrme20 potentials. The predicted theoretical results have been compared with the available experimental data; it has been seen that the predicted results are in agreement with the experimental data. From the current results of the calculations, many predictions of angular momentum and parities of experimental states have been made, and the energy spectra predictions of the ground band and B(E2; ↓) electric quadrupole transitions in 50-51Mn isotopes of the experimental data are not known yet. In the nuclear shell-model calculations framework, energy levels have been determined for 50-51Mn isotopes; new values of electric quadrupole transitions have been predicted in the studied results. This investigation increases the theoretical knowledge of all isotopes with respect to the energy levels and reduced transition probabilities.

A mechanism for shape coexistence

The phenomenon of shape coexistence in a nucleus is about the occurence of two different nuclear states with drastically different shapes, lying close in energy. It is commonly seen in the data, that such coexisting states manifest in specific nuclei, which lie within certain islands on the nuclear chart, the islands of shape coexistence. A recently introduced mechanism predicts that these islands derive from the coexistence of two different types of magic numbers: the harmonic oscillator and the spin-orbit like. The algebraic realization of the nuclear Shell Model, the Elliott SU(3) symmetry, along with its extension, the proxy-SU(3) symmetry , are used for the parameter-free theoretical predictions of the islands of shape coexistence