Giant dipole resonance and shape evolution in Nd isotopes within TDHF method

Abstract

The isovector giant dipole resonance (IVGDR) in even-even Nd isotopes from A=124 to A=160 is studied in the framework of time-dependent Hartree-Fock (TDHF) with Skyrme forces SkI3, SVbas, SLy5 and SLy6. The dipole strength is calculated and compared with the experimental data on photon absorption cross section ${\sigma }_{\gamma }$. An overall agreement between them is obtained. The dipole strengths in ${}^{124-140}\text{Nd}$ and ${}^{152-160}\text{Nd}$ are predicted. In addition, the correlation between the quadrupole deformation parameter ${\beta }_2$ and the splitting $\Delta E/{\bar{E}}_m$ of the giant dipole resonance (GDR) spectra is studied. The results confirm that $\Delta E/{\bar{E}}_m$ is proportional to ${\beta }_2$. Shape phase transition in Nd isotopes is also investigated in the light of IVGDR.

Comments: 24 pages, 13 figures