Determination of the shape for (54Xe and 82Pb)‎ nuclei from deformation parameters (β2, δ)‎

Abstract EN

The shape for even-even (54Xe 118≤ A ≤ 140 and 82Pb 204 ≤ A ≤ 210 ) nuclei have been studied and investigated through the deformation parameters β2 and δ , these deformation parameters were calculated by two different methods.

The first one is nucleus quadrupole deformation parameter β2 from reduced transition probability B(E2)↑ for 0+→2+1 transitions and the second is nucleus quadrupole deformation parameters δ from quadrupole moment Qo.

The relationship between two deformation parameters (β2, δ ) and neutrons magic number (N=82 & 126) was studied through plotting the deformation parameters (β2, δ ) as a function of neutrons number , from this relationship we can see very cleary that the deformation of nucleus decreased when the neutrons number approaches to magic number.

In the present work, another relationship was studied, this was the relationship between two deformation parameters β2 and δ which is obtained by getting the ratio of δ / β2.

To achieve our mean purposes (determine the nuclear shape from deformation parameters) and come to a decision if the nucleus under the study has prolate , oblate or spherical shape through calculating the minor and major ellipsoid axises (a ,b) and plotted the nucleus shape depending on the value of (a, b).