The production of light (anti)nuclei is investigated using the dynamically constrained phase-space coalescence model based on the final-state hadrons generated by the PACIAE model in Cu+Cu collisions at $ \sqrt{s_{\mathrm{NN}}}=200$ GeV with $ \vert\eta\vert < 0.5$ and $ 0 < p_{T} < 8$ GeV/c. The results show that there is a strong centrality dependence of yields of d, $ \overline{d}$, 3He, ${}^{3}\overline{\mathrm{He}}$, 4He, and ${}^{4}\overline{\mathrm{He}}$, i.e., their yields decrease rapidly with the increase of centrality, and the greater the mass, the greater the dependence, whereas th...