Description of the energy levels and electric quadrupole transitions of the 92Nb and 92Mo nuclei using nuclear shell model

In current study ,92Nb and 92Mo isotopes have been determined for calculating energy levels and electric quadrupole transition probabilities. Two interaction have been applied in this study are surface delta and modified surface delta interactions. The calculations have been achieved by using appropriate effective charges for proton and neutron as well as parameter length of harmonic potential. Computed results have been compared with the experimental values. After this comparison, energy and the transition probability values have a good agreement with the experimental values, also there are values of the total angular momentum and parity are determined and confirmed for some of the experimental energies, undetermined and unconfirmed experimentally. Theoretically, new values of quadrupole electric transition probabilities have been explored which have not been known in the experimental data.

Investigation of Proton and Neutron Alignment in the Ba and Ce Isotopes within Interaction Interacting Boson Model and Triaxial Rotor Model

In the form of two quasi-particles coupled to a core described by the IBM-1 and Triaxil Rotor models, the high-spin states of the Ba and Ce isotopes are studied. Bands based on both (vh11/2)-2 and (configurations are considered, which is found to be appropriate for this region to better explain band-crossing systems. Between the recent experimental data and the calculated energy spectra and electric transition probability, fair agreement is achieved.

Calculation of quadrupole deformation parameter β2 from reduced transition probability B(E2) for 0+1 → 2+1 transitions at even-even 62-68Zn isotopes

In this work the excited energy levels, reduced transition probabilities B(E2)↑, intrinsic quadrupole moments, and deformation parameters have been calculated for 62-68Zn isotopes with neutrons number N = 32, 34, 36 and 38. NuSheIIX code has been applied for all energy states of fp-shell nuclei. Shell-model calculations for the zinc isotopes have been carried out with active particles distributed in the lp3/2, 0f5/2, and lp1/2 orbits outside doubly magic closed 56Ni core nucleus. By using f5p model space and f5pvh interaction, the theoretical results have been obtained and compared with the available experimental results. The excited energies values, electric transition probability B(E2), intrinsic quadrupole moment Q0, and deformation parameters β2 have appeared in complete agreement with the experimental values. As well as, the energy levels have been confirmed and determined for the angular momentum and parity of experimental values that have not been well established and determined experimentally. On the other hand, it has been predicted some of the new energy levels and electric transition probabilities for the 62-68Zn isotopes under this study which were previously unknown in experimental information.

Pear-shaped nuclei

This brief review presents current experimental evidence on the existence of deformed axially symmetric but reflection asymmetric or pear shapes in nuclei. A summary of the main findings on the properties of nuclear energy levels and electric transition probabilities is given. These experimental investigations have been possible due to the development of high efficiency gamma-detector arrays and production and availability of exotic radioactive ion beams which facilitated in-beam Coulomb excitation. The nuclear structure of odd-mass pear-shaped nuclei has assumed importance as they can be vital in solving some of the fundamental problems in physics. This paper is sequel to the publication of the book by the author on Pear-shaped Nuclei (World Scientific, 2020).

Matter density distribution and longitudinal form factors for the ground and excited states of 17Ne exotic nucleus

The two-frequency shell model approach is used to calculate theground state matter density distribution and the corresponding rootmean square radii of the two-proton17Ne halo nucleus with theassumption that the model space of 15O core nucleus differ from themodel space of extra two loosely bound valence protons. Twodifferent size parameters bcore and bhalo of the single particle wavefunctions of the harmonic oscillator potential are used. Thecalculations are carried out for different configurations of the outerhalo protons in 17Ne nucleus and the structure of this halo nucleusshows that the dominant configuration when the two halo protons inthe 1d5/2 orbit (15O core plus two protons halo in pure 1d5/2 orbit). Thecalculated matter density distribution in terms of the two-frequencyshell model is compared with the calculated one in terms one sizeparameter for all orbits to illustrate the effect of introducing one ortwo size parameters in calculations. The longitudinal form factors forelastic C0 and inelastic C2 electron scattering from 17Ne nucleus arecalculated for the considered configurations and for three states ofeach configuration which are the ground state ( JT  1 2 3 2 ) andthe first two excited states ( JT  3 2 3 2 ) and ( JT  5 2 3 2 ).The electric transition strengths B(C2) are calculated for the excitedstates and for the effective nucleon charges which are used in thiswork and compared with the experimental values.

A nuclear phenomenological study of the even–even Thorium Isotopes 228–232Th

The rotational and vibrational energies and the electric transition probability B [Formula: see text] of the even–even [Formula: see text]Th isotopes are studied empirically in framework of a nuclear phenomenological approach by using the SU(3) dynamical symmetries of the Interacting Boson Model-1 (IBM-1). Furthermore, the potential energy surfaces for these isotopes are plotted as functions of the deformation parameters [Formula: see text] and [Formula: see text]. Moreover, we introduce empirical fit formulas for rotational and vibrational energies, which used to calculate these energies for the thorium isotopes. The obtained results by applying the IBM-1 and the authors’ formulas are in good agreement with the corresponding experimental data for most of the nuclear states.