Simulations of momentum correlation functions of light (anti)nuclei in relativistic heavy-ion collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>39</mml:mn></mml:mrow></mml:math> GeV

Momentum correlation functions of light (anti)nuclei formed by the coalescence mechanism (anti)nucleons are calculated for several central heavy-ion collision systems, namely ${}_{5}^{10}\text{B}+{}_{5}^{10}\text{B}$, ${}_{8}^{16}\text{O}+{}_{8}^{16}\text{O}$, ${}_{20}^{40}\text{Ca}+{}_{20}^{40}\text{Ca}$, as well ${}_{79}^{197}\text{Au}+{}_{79}^{197}\text{Au}$ in different centralities at center-of-mass energy $\sqrt{{s}_{NN}}$ = 39 GeV within framework a multiphase transport (AMPT) model complemented Lednick\'y and Lyuboshitz analytical method. identical or nonidentical constructed analyzed above systems. The Au+Au results demonstrate that emission occurs from source with smaller space extent more peripheral collisions. effect system size on momentum is also explored indicate pairs deduced their self-consistent. nuclei gated velocity applied to infer average sequence them. illustrate protons emitted timescale similar neutrons but earlier than deuterons tritons small relative region. In addition, larger interval order among them exhibited systems