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Momentum correlation functions of light (anti)nuclei formed by thecoalescence mechanism of (anti)nucleons are calculated for several centralheavy-ion collision systems, namely $_{5}^{10}\textrm{B}+_{5}^{10}\textrm{B}$,$_{8}^{16}\textrm{O}+_{8}^{16}\textrm{O}$,$_{20}^{40}\textrm{Ca}+_{20}^{40}\textrm{Ca}$ as well as$_{79}^{197}\textrm{Au}+_{79}^{197}\textrm{Au}$ in different centralities atcenter of mass energy $\sqrt{s_{NN}}$ = 39 GeV within the framework of AMulti-Phase Transport (AMPT) model complemented by the Lednick$\acute{y}$ andLyuboshitz analytical method. Momentum correlation functions for identical ornonidentical light (anti)nuclei are constructed and analyzed for the abovecollision systems. The Au + Au results demonstrate that emission of light(anti)nuclei occurs from a source with smaller space extent in more peripheralcollisions. The effect of system-size on the momentum correlation functions ofidentical or nonidentical light (anti)nuclei is also explored by severalcollision system in central collisions. The results indicate that the emissionsource-size of light (anti)nuclei pairs deduced from their momentum correlationfunctions and system-size is self-consistent. Momentum correlation functions ofnonidentical light nuclei pairs gated on velocity are applied to infer theaverage emission sequence of them. The results illustrate that protons areemitted in average on a similar time scale with neutrons but earlier thandeuterons or tritons in the small relative momentum region. In addition, largerinterval of the average emission order among them is exhibited for smallercollision systems or at more peripheral collisions.

Simulations of momentum correlation functions of light (anti)nuclei in relativistic heavy-ion collisions at $\sqrt{s_{NN}}$ = 39 GeV