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

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 $σ_γ$. 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 $β_{2}$ and the splitting $ΔE/ \bar{E}_{m}$ of the giant dipole resonance (GDR) spectra is studied. The results confirm that $ΔE/ \bar{E}_{m}$ is proportional to $β_{2}$. Shape phase transition in Nd isotopes is also investigated in the light of IVGDR.

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