Abstract
We have investigated the evolution of the shell structure of nuclei in going from the r-process path to the neutron drip line within the framework of the relativistic Hartree-Bogoliubov (RHB) theory. By introducing the quartic self-coupling of $\ensuremath{\omega}$ meson in the RHB theory in addition to the nonlinear scalar coupling of $\ensuremath{\sigma}$ meson, we reproduce the available data on the shell effects about the waiting-point nucleus ${}^{80}\mathrm{Zn}.$ With this approach, it is shown that the shell effects at $N=82$ in the inaccessible region of the r-process path become milder as compared to the Lagrangian with the scalar self-coupling only. However, the shell effects remain stronger as compared to the quenching exhibited by the HFB+SkP approach. It is also shown that in reaching out to the extreme point at the neutron drip line, a terminal situation arises where the shell structure at the magic number is washed out significantly.
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