Predictions for production of $\rm{^3_\Lambda H}$ and $\rm{{^3_{\overline \Lambda}\overline H}}$ in isobaric $^{96}_{44}$Ru+$^{96}_{44}$Ru and $^{96}_{40}$Zr+$^{96}_{40}$Zr collisions at $\sqrt{s_{\rm{NN}}}$ = 200 GeV

The production of $\rm{^3_\Lambda H}$ and $\rm{{^3_{\overline \Lambda}\overline H}}$, as well as $\rm{^3H}$, $\rm{{^3\overline H}}$, $\rm{^3He}$, and $\rm{{^3\overline {He}}}$ are studied in central collisions of isobars $^{96}_{44}$Ru+$^{96}_{44}$Ru and $^{96}_{40}$Zr+$^{96}_{40}$Zr at $\sqrt{s_{\rm{NN}}}=200$ GeV, using the dynamically constrained phase-space coalescence model along with the PACIAE model simulations. It is found that the yield ratios of $\rm{{^3_{\overline \Lambda}\overline H}}$ to $\rm{{^3_{\Lambda} H}}$ and $\rm{{^3\overline H}}$, $\rm{{^3\overline {He}}}$ to $\rm{^3H}$, $\rm{^3He}$, coalescence parameter $\sqrt{B_3}$, strangeness population factor $s_{3}$ of (anti-)hypertriton and light (anti-)nuclei are all the same within uncertainty although the yield of (anti-)hypertriton ($\rm{{^3_{\overline \Lambda}\overline H}}, \rm{{^3_{\Lambda} H}}$) is less than that of light (anti-)nuclei ($\rm{{^3\overline H}}$, $\rm{{^3\overline {He}}}$, $\rm{^3H}$, $\rm{^3He}$), respectively. However there is no difference in the yield, yield ratio, coalescence parameters, and strangeness population factor of (anti-)hypertriton and (anti-)nuclei produced in isobaric $^{96}_{44}$Ru+$^{96}_{44}$Ru and $^{96}_{40}$Zr+$^{96}_{40}$Zr collisions. Experimental data of Cu+Cu, Au+Au and Pb+Pb collisions from RHIC, ALICE are presented in the results for comparison.