where with the energy is given as Angular momentum I can take only odd values. Electric multipole operators are given by the expression For the dinuclear system we assume that where ρ$_{i}$ ( i = 1 , 2) are the densities of the DNS fragments. Using (18) we can rewrite the expression for the electric multipole moments for the DNS in the following form where In the last expression Q ( i ) ( i = 1 , 2) are the intrinsic multipole moments of the DNS frag- ments. Since we assume that the light fragment is spherical and can not be excited in the con- sidered energy range the only nonzero moment for the first fragment is Q (1) 0 = Z$_{1}$$_{/}$√$_{4}$$_{π}$$_{.}$ The second fragment is assumed to perform the quadrupole oscillations around the spheri- cal shape. Thus, in the linear approximation with respect to the deformation, we have two 8 ˆ q ( λ 1 λ 2 ) λ 1 = [ ( A$_{1}$ A ) λ 2 Q (2) λ 1 + ( − 1) λ 2 ( A$_{2}$ A ) λ 2 Q (1) λ 1 ] R λ 2 . (20) ˆ Q$_{λµ}$ = ∑ λ 1 ,λ 1 + λ 2 = $_{λ}$√ 4 π (2 λ + 1)! (2 λ$_{1}$ + 1)!(2 λ$_{2}$ + 1)! [ ˆ q ( λ 1 λ 2 ) λ 1 × Y$_{λ}$$_{2}$ (Ω) ] λµ , (19) ρ ( r ) = ρ$_{1}$ ( r ) + ρ$_{2}$ ( r ) , (18) ˆ Q$_{λµ}$ = ∫ ρ ( r ) r $^{λ}$Y ∗ $_{λµ}$dτ. (17) ϵ n.p. I = ℏ ω ( I − 1) 2 + ℏ 2 ℑ + ℏ ω    1 − √ 1 + ( √ 12 5 π V$_{0}$β$_{0}$ ℏ ω ) 2 ( I + 1)(2 I + 3) (2 I + 1)    . (16) sin[ γ$_{1}$ ( I )] = 1 √$_{2}$   $^{1 +}$ 1 √ 1 + (√ 12 5 π V 0 β 0 ℏ ω ) 2 ( I +1)(2 I +3) (2 I +1)   $^{1}$$^{/}$$^{2}$ (15) C. Multipole Moments