Study The Deformation Parameters (β2, δ) For Even-Even Nuclei (A=38-48 & A=74-92)

Abstract

The aim of the present work is to calculate the deformation parameters
( β2, δ)and its relation with neutrons magic number.
The relationship between the deformation parameters (β2, δ) which is
obtained by two different methods, first: nucleus quadrupole deformation
parameter β2 from reduced transition probability B(E2)↑ for 0+→2+
transitions, second: nucleus quadrupole deformation parameter δ from
quadrupole moment Qo ,with neutrons magic number have been studied.
These parameters have been calculated for even-even nuclei 20Ca
40≤A≤48and 36Kr 74≤A≤92 using deformed shell model equation.
From this study we shows that the deformation parameters decreased when
we are closer to the neutrons magic number.