  We have used the dynamically constrained phase space coalescence model to
investigate the production of light nuclei (anti-nuclei) based on the
1.134$\times 10^7$ hadronic final states generated by the PACIAE model for the
0-5% most central Au+Au collisions at $\sqrt{s_{\rm{NN}}}$=200 GeV with $|y|
<$1 and $p_T<$5 acceptances. The STAR data of $\bar{_{\bar\Lambda}^ 3H}$,
${_{\Lambda}^3 H}$, $^3{\bar{He}}$, and $^3{{He}}$ yields and ratios are well
reproduced by the corresponding PACIAE results. The transverse momentum
distribution of $\bar{^3{He}}$ (${^3{He}}$) and $\bar{_{\bar\Lambda}^3H}$
(${_{\Lambda}^3H}$) is also given. It turned out that the transverse momentum
distribution of light nuclei is close to that of the corresponding anti-nuclei.
