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We have investigated the evolution of the shell structure of nuclei in goingfrom the r-process path to the neutron drip line within the framework of theRelativistic Hartree-Bogoliubov (RHB) theory. By introducing the quarticself-coupling of $\omega$ meson in the RHB theory in addition to the non-linearscalar coupling of $\sigma$ meson, we reproduce the available data on the shelleffects about the waiting-point nucleus $^{80}$Zn. With this approach, it isshown that the shell effects at N=82 in the inaccessible region of ther-process path become milder as compared to the Lagrangian with the scalarself-coupling only. However, the shell effects remain stronger as compared tothe quenching exhibited by the HFB+SkP approach. It is also shown that inreaching out to the extreme point at the neutron drip line, a terminalsituation arises where the shell structure at the magic number is washed outsignificantly.Comment: 18 pages (revtex), 8 ps figures, to appear in Phys. Rev.

Nuclear shell effects near ther-process path in the relativistic Hartree-Bogoliubov theory