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Momentum correlation functions between $\pi$, $K$ and $p$ are calculated forseveral heavy-ion collision systems, namely$_{5}^{10}\textrm{B}+_{5}^{10}\textrm{B}$,$_{8}^{16}\textrm{O}+_{8}^{16}\textrm{O}$,$_{20}^{40}\textrm{Ca}+_{20}^{40}\textrm{Ca}$ and$_{79}^{197}\textrm{Au}+_{79}^{197}\textrm{Au}$ in central collisions as wellas $_{79}^{197}\textrm{Au}+_{79}^{197}\textrm{Au}$ collision in differentcentralities at center of mass energy $\sqrt{s_{NN}}$ = 39 GeV within theframework of A Multi-Phase Transport (AMPT) model complemented by theLednick$\acute{y}$ and Lyuboshitz analytical method. The results present thecentrality and system-size dependence of the momentum correlation functionsamong pairs of $\pi$, $K$ and $p$, from which the emission source-size can bededuced. It is found that the deduced source sizes increase with the decreasingof centrality for Au + Au system or with the increasing of system-size incentral collisions with different nuclear size. In addition, through themomentum correlation functions of nonidentical particle pairs gated onvelocity, the average emission sequence of non-identical particles can beindicated. The results illustrate that in the small relative momentum region,protons are emitted in average earlier than $\pi^+$ and $K^+$, and $K^+$ areemitted averagely earlier than $\pi^+$. Furthermore, it seems that largerinterval of the average emission order among them is exhibited for smallercollision systems. The present study sheds light on the dynamics of lightparticle emission at RHIC energy.

Femtoscopy between $\pi$, $K$ and $p$ in different heavy-ion collisions at $\sqrt{s_{NN}}$ = 39 GeV