Centrality dependence of light (anti)nuclei and (anti)hypertriton production in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV

We present, using the dynamically constrained phase-space coalescence model, to investigate the centrality dependence of light (anti)nuclei and (anti)hypertriton production based on the $6.2\times {10}^7$ hadronic final states generated by the paciae model in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV in $\left|y\right|<1$ and $p_T<5$ acceptances. We found that the yields of light (anti)nuclei and (anti)hypertriton strongly depend on the centrality, i.e., their yields decrease rapidly with the increase of centrality bins; but their yield ratios are independent of centrality. These theoretical results are consistent with STAR and PHENIX data. Furthermore, we found that the yields of light (anti)nuclei and (anti)hypertriton per participant nucleon increase linearly with the increase of the number of participants, and this distribution property depends on the mass number of the matter produced.

Figure 1

The integrated yield $dN/dy$ of strange particle at midrapidity ($\left|y\right|<1$ for $\Lambda$ and $\overline{\Lambda }$, $\left|y\right|<0.75$ for ${\Xi }^{-}$ and $\overline{{\Xi }^{-}}$) in the Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV as a function of centrality. The open symbols represent our model results and the solid symbols are the data points from STAR [26].

Figure 2

The cumulative yields $Y_C$ for light (anti)nuclei and (anti)hypertriton in midrapidity Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV, plotted as a function of centrality. The open symbols represent our model results. The solid symbols are the data points from STAR [8, 22] and PHENIX [5]. Panel (a) is for $\overline{d}$ and $d$, and panel (b) is for $\overline{{}_{\overline{\Lambda }}^3\mathrm{H}}$, ${}_{\Lambda }^3\mathrm{H}$, ${}^3\overline{\mathrm{He}}$, and ${}^3\mathrm{He}$.

Figure 3

The normalized yield $y_c$ for the $\overline{d}$, $d$, $\overline{{}_{\overline{\Lambda }}^3\mathrm{H}}$, ${}_{\Lambda }^3\mathrm{H}$, ${}^3\overline{\mathrm{He}}$, and ${}^3\mathrm{He}$ as a function of centrality bin. The results are calculated by paciae+dcpc model in the midrapidity Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV. The curves are fitted by Eq. (11).

Figure 4

Yield ratios of light antinuclei and antihypertriton ($\overline{d}$, ${}^3\overline{\mathrm{He}}$, and $\overline{{}_{\overline{\Lambda }}^3\mathrm{H}}$) to light nuclei and hypertriton ($d$, ${}^3\mathrm{He}$, and ${}_{\Lambda }^3\mathrm{H}$), as well as (anti)hypertriton ($\overline{{}_{\overline{\Lambda }}^3\mathrm{H}}$ and ${}_{\Lambda }^3\mathrm{H}$) to light (anti)nuclei (${}^3\overline{\mathrm{He}}$ and ${}^3\mathrm{He}$) in midrapidity Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV, plotted as a function of centrality. The open symbols represent our model results. The solid symbols are the data points from STAR [8, 22] and PHENIX [5].

Figure 5

The integrated yield $dN/dy$ at midrapidity for $\overline{p}$, $\overline{\Lambda }$, $d,\overline{d}$, ${}_{\Lambda }^3\mathrm{H},\overline{{}_{\overline{\Lambda }}^3\mathrm{H}}$, ${}^3\mathrm{He},{}^3\overline{\mathrm{He}}$ divided by $N_{\mathrm{part}}$, normalized to the peripheral collisions (40–60%), plotted as a function of $N_{\mathrm{part}}$. The results are calculated by paciae+dcpc model in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV.