Investigation of giant dipole resonance in Mo isotopes within TDHF theory

Abstract: The isovector giant dipole resonance (IVGDR) in the chain of even-even Mo isotopes is investigated within the time-dependent Hartree-Fock (TDHF) using the Skyrme force Sly6. The GDR calculated in $ ^{92-108}\text{Mo}$ are presented, and compared with the available experimental data. An overall agreement between them is obtained. Moreover, the dipole strength in $ ^{102-108}\text{Mo}$ is predicted. Shape phase transition from spherical to oblate as well as shape coexistence (A $\sim$ 100) in Mo isotopes are also investigated in this work. In addition, the correlation between the deformation splitting $\Delta E$ and the quadrupole deformation parameter $\beta_{2}$ is studied. The results confirm that $\Delta E$ is proportional to the deformation of nucleus. We also discuss the dependence of GDR strength on some nuclear properties of Skyrme forces, such as the asymmetry energy $a_{s}$. We find that $a_{s} = 32 MeV$, corresponding to SLy6, is quite consistent with experimental data.