[en] The study of energy levels of the ground state bands yield important information on the collective nuclear structure. The energy of first excited state E(2⁺₁) and reduced electric quadrupole transition probabilities B(E2)↑ for transition from ground (0⁺₁) to first excited state (2⁺₁) tell us about the deformation of the nuclear core. A systematic study of the energy of the 2⁺_γ excitation was performed to examine the role of higher excitations in the determination of nuclear structure. Grodzins identified a relation between the energy E(2⁺₁) of the ground state and the γ-ray transition probabilities

[en] The evidence of rigid triaxiality has been searched for Nd, Sm and Gd nuclei. The relationship of asymmetry parameter is investigated and compared with the results of asymmetric rotor model (ARM), generally termed as Davydov-Filippov (DF) model. These interband B(E2) ratios are derived from experimental E_γ, I_γ values from the recent Nuclear Data Sheets. On comparing the theoretical predictions with the experiment, the B(E2;2_γ→0/2) ratio shows a smooth dependence on γ_0 with average slope similar to that predicted by ARM. However, large deviations are observed for "1"4"8Nd, "1"5"4Sm and "1"5"6Gd. As γ_0 increases more than 20°, the agreement with theoretical values becomes more evident. For B(E2;2_γ→2/4) ratio, a poor correlation with γ_0 is observed. Gd nuclei show some correspondence with DF model predictions except for "1"5"8Gd which lies far higher than the theoretically predicted value

[en] The Nd isotopes lie in the region of shape phase transition from spherical ("1"4"4","1"4"6Nd) to well deformed ("1"5"4Nd) nuclei. Many experimental and theoretical studies were performed to organise the information about energy level spacings and transition rates of Nd isotopes. In this paper, the nuclear structure of "1"5"2Nd nucleus is studied in the framework of Interacting Boson Model (IBM). The classical limit of the IBM Hamiltonian has been used to generate the PES for the "1"5"2Nd nucleus

[en] The systematics of Grodzins product has been analyzed in the $Z=50$--82, $N=82$--126 major shell space. The validity of Grodzins product has been studied for the higher excited states of ground band for the first time. The proportionality between the reduced transition probabilities $B[E2;(I+2)\to <!--\; ???\; -->I]$ and the inverse of the energy of states $[E(I+2)-<!--\; ???\; -->E(I)]$ is discussed for I = 2⁺, 4⁺, 6⁺, 8⁺ and 10⁺ of the ground band. We attempt to establish the global validity of Grodzins product for all the spins of ground band.

[en] In the present work, the dependence of β and γ parameters on N and N_pN_n, and the correlation of γ with β is studied accumulating the whole mass region of Bα - Pt nuclei. The role of Z = 64 subshell in producing smooth systematics has been elucidated

[en] The phenomenon of superdeformation was proposed to account for the fission isomers observed in some actinide nuclei. In the present analysis, employed herewith several rotational energy formulae to deduce the band-head spins of the above mentioned SD bands and to analyze the validity of rotational energy formulae for the SD bands in A ∼ 190 and A ∼ 150 mass regions

[en] Since the discovery of first high-spin super deformed (SD) band in ¹⁵²Dy by Twin et al. many SD bands have been studied considerably in A ∼ 190, 150, 130 and 80 mass regions. In the present analysis, deduced herewith is the band-head spins of the SD bands in Hg isotopes using the exponential model with pairing attenuation

[en] The exponential model with pairing attenuation and the nuclear softness formula have been employed to deduce the band-head spins of all the SD bands in Hg isotopes. A least-squares fitting method is performed for the γ-transition energies and the model parameters are calculated. The calculated γ-transition energies and the corresponding fitting parameters are found to depend sensitively on the established level spins. The identical band pairs in the Hg isotopes are investigated and the role of alignment is explored. (paper)