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The one-body density-matrix elements obtained from the USDA Hamiltonian are used to calculate the electronnucleus scattering form factors for the 25 Mg nucleus. The longitudinal form factor calculations produce good agreements for all states in the first sequence whereas the shell-model predictions show a variation in results for the excitation states in the second sequence. The wave functions of radial single-particle matrix elements have been calculated with the Woods-Saxon, harmonic-oscillator, and Skyrme (Sk42) potentials. The results of the inelastic transverse form factors are in good agreement with the experimental data when using the Sk42 potential whereas the elastic magnetic scattering results show a significant difference in values compared with the experimental data. However the overall shape and other features of the form factors are satisfactory when using the harmonic-oscillator potential. The effective g factors were used as adjustable parameters in the OXBASH code to describe the core-polarization effects in the transverse form factor calculations with the use of a harmonic-oscillator size parameter in the elastic magnetic scattering.

The energy levels, transition energy, B(E2) values, intrinsic quadrupole moment Q0 and potential energy surface for even-even 184 W and 184 Os nuclei were calculated using IBM-1. The predicted energy levels, transition energy, B(E2) values and intrinsic quadrupole moment Q0 results are reasonably consistent with the experimental data. A contour plot of the potential energy surfaces shows that two interesting nuclei are deformed and have rotational characters.

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A description of the even–even Pt isotopes for A = 190 to 196 in the framework of the Interacting Boson Model (IBM-1) is carried out. Energy levels, B(E2) and B(M1) values, branching ratios, E2/M1 mixing ratios and QJ values of the above nuclei have been calculated. The energy levels, B(E2) values and the electric quadrupole moment QJ results are reasonably consistent with the experimental data. The magnetic dipole is compared with the available experimental data. Furthermore, the calculated results are better than previous studies.

The inelastic longitudinal form factors F(q)'s, an expression for the transition charge density were studied where the deformation in nuclear collective modes besides the shell model transition density are taken into consideration. In this work, the core polarization transition density was evaluated by adopting the shape of Tassie model together with the form of the ground state two-body charge density distributions and the effect of two body short range correlation function. It was noticed that the core polarization effects, which represent the collective modes are essential in obtaining a good agreement between the calculated inelastic longitudinal F(q)'s and those of the experimental data for 4 He, 12 C, 16 O, 28 Si, 32 S and 40 Ca nuclei.

The interacting boson model (IBM-1) is used to calculate the energy levels, transition probabilities (2), and potential energy surfaces of some even 120−126 Xe isotopes. The theoretical values are in good agreement with the experimental data. The potential energy surface is one of the nucleus properties, and it gives a final shape of nuclei. The contour plot of the potential energy surfaces shows that the 120−126 Xe nuclei are deformed and have-unstable-like characters. K e y w o r d s: IBM-1, energy levels, (2) values, potential energy surface, Xe isotopes.