Investigations of the Collective Properties of the Even Uranium Isotopes

The deformation structure of the even uranium isotopes is investigated in the framework ofthe collective model, the single-particle Schrödinger fluid model and the cranked Nilssonmodel. Accordingly, the rotational and vibrational energies, the nuclear moments of inertia,the total ground-state energy, the quadrupole moment, the Liquid Drop (L. D) energy, theStrutinsky inertia, the L. D. inertia, the volume conservation factor000, the smoothedenergy, the BCS energy, the G-value and the transition probabilities of the exited-state inthe ground-state band of the uranium isotopes:232U,234U,236U and238U have beencalculated as functions of the deformation parametersand, which vary in the ranges50.050.0andoo600. Moreover, a new formula that depends on theintrinsic quadrupole moment and the moment of inertia of the nucleus has been obtained tofit the transition probabilities of the exited-state in the ground-state band of the mentionedfour isotopes.