The electric quadrupole moment and the effective charge of even–even Sm(A=150 -154) isotopes

Abstract

In the present work, the interacting boson model (IBM-1) was used
in the calculations of the energy levels, energy ratios, electric quadrupole
transitions probability B(E2), and their reduced matrix elements
i
E
f I T I
( 2) ˆ
for even-even of Sm (A=150-154). The dynamical symmetries SU(5)-O(6)
and SU(5)-SU(3) for the isotopes under study have been determined.
Through electric quadrupole moments
 
21 22
Q ,Q
state for 154Sm have a
prolate shape and the isotopes rest have an oblate shape, while 22
+
state
have an oblate for 150,154Sm .The program (IBSS1. For) and (IBMTT. For)
were they had been written in fortran 77 used in the present calculations to
calculate the eigen values, eigen vectors electric quadrupole probability
B(E2), reduced matrix elements of the electric quadrupole
i
E
f I T I
( 2) ˆ
as a
function of the boson effective charge (α2,β2). Our results confirmed good
agreement for with available experimental data.