The role of near neutron-drip-line nuclei in the rapid neutron-capture process (-process) is studied with the classical -process model. Simulations under different astrophysical conditions (, ) show that -process paths approach the neutron-drip line under low-temperature and high-neutron-density conditions. A sensitivity study reveals that variations in the nuclear masses of these exotic nuclei significantly impact the abundances of superheavy nuclei, and lead to obvious abundance variations in the , , and regions. By contrast, the -process rare-earth peak and the peaks remain largely unaffected. The nuclei that obviously impact -process abundances are mainly distributed in the region of and , with the nuclei around neutron magic numbers found to be particularly important for the -process, even in the near-neutron-drip-line region.

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