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Production of the (anti)hypertriton nuclei $\rm ^3_{\Lambda}H$ and $\rm^3_{\overline \Lambda}\overline H$ in Cu+Cu interactions at$\sqrt{s_{\rm{NN}}}=200$GeV is studied at three centrality bins of 0-10\%,10-30\% and 30-60\% using the dynamically constrained phase-space coalescencemodel together with [PACIAE] model simulations. The $\rm ^3H(^3\overline H)$and $\rm ^3He(^3\overline {He})$ nuclei has been compared. It is indicated bythe study that the yields of light nuclei and hypernuclei increase rapidly fromperipheral to central collisions while their anti-particle to particle ratioskeep unchanged for different centrality bins. The strangeness population factor$S_3=\rm{{^3_{\Lambda}H}/({^3{He}}\times \Lambda/p)}$ was found to be close tounity, and was compatible with the STAR data and theoretical model calculation,suggesting that the phase-space population of strange quarks is similar withthe ones of light quarks and the creation of deconfined high temperature quarkmatter in Cu+Cu collisions.

$\rm ^3_{\Lambda}H$ and $\rm ^3_{\overline \Lambda}\overline H$ production and characterization in Cu+Cu collisions at $\sqrt{s_{\rm{NN}}}=200$GeV