Calculating Deformation Parameters and the Electric Transition Probability of the Even-Even Nuclei for (_^(54-62))Ni Isotopes

The current work focused on studying the shape and properties of even-even nuclei form that have the mass number less than 100 (A<100) for ((_28^(54-62))Ni) isotopes by using deformed shell model equations. The values of the deformation parameter (β_2) and intrinsic electric quadrupole moments (Q_0) derived from calculating the reduced electric quadrupole transition probability B(E2)↑ from the ground 0^+ to the first-exited 2^+ state. The calculated values for B(E2)↑ and β_2 compared with the experimental data obtained from the National Nuclear Data Center (NNDC), there was little change in the result. The relationship between their calculated values for (B(E2)↑, β_(2 ),Q_0 ) and neutrons were studied by drawing the relationship between them. From these results for selected isotopes, we can see very clearly that the deformation of nuclei decreased when the neutrons number closer to the magic number (N=28) for (_28^56)Ni, while it was the largest at (N=34) for (_28^62)Ni isotope.