The energy levels and transition probabilities B(E2; ↓) i B(M1; ↓) have been investigated for 21,23Na isotopes by using the (USDA and USDB) interactions in the (sd-shell) model space. In the calculations of the shell model, it has been assumed that all possible many-nucleon configurations are specified by the (0d5/2, 1s1/2 i 0d3/2) states above 16O doubly magic nucleus. The available empirical data are in a good agreement with predictions of theoretical energy levels. Spins and parities are affirmed for new levels, transition probabilities B(E2; ↓) and B(M1; ↓) are predicted as well.

Energy levels for ( 18 F, 19 F and 20 F) isotopes have been studied within the framework of shell model using OXBASH code. In this work, the calculations are based on the Universal Sd-shell Hamiltonian (USDA) and W Hamiltonians for proton and neutron particle orbits in SDPN model space. The calculated energy levels and reduced electric quadrupole transition probabilities B(E2;↓) are in reasonably agreement with available empirical data. New energy levels have been predicted for all the isotopes in this work. Many unconfirmed experimental energy levels were confirmed by our calculations.

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.

In present work, many parameters have been computed using NuShellX@ MSU code for ground state bands of 20-30Mg isotopes. These parameters were root mean square of nuclear radius, major and minor of ellipsoid axises (a and b), as well as to the different between them(ΔR) deformation parameters (β2, δ), intrinsic quadrupole moment(Q0) and back bending phenomenon. Model space(sdpn) of (0d3/2,0d5/2 and 1s1/2) for protons and neutrons orbits and cwhcdpn interaction have been used to calculate above parameters. Effective charge of Bohr - Mottelson model has been used in this work. The results showed an brilliant agree with the obtainable investigational results all isotopes in this study. Also, the back bending phenomenon was well evident in our results for all isotopes used under study. In these calculations, new values have been theoretically designated for most parameters which were previously unknown in experimental information.

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