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

The production of ${}_{\mathrm{\Lambda }}{}^3\mathrm{H}$ and ${}_{\overline{\mathrm{\Lambda }}}{}^3\overline{\mathrm{H}}$, as well as ${}^3\mathrm{H}, {}^3\overline{\mathrm{H}}, {}^3\mathrm{He}$, and ${}^3\overline{\mathrm{H}}\mathrm{e}$ are studied in central collisions of isobars ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ and ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ at $\sqrt{s_{\mathrm{NN}}}=200$ GeV, using the dynamically constrained phase-space coalescence model and the paciae model with chiral magnetic effect. The yield, yield ratio, coalescence parameters, and strangeness population factor of (anti-)hypertriton and (anti-)nuclei produced in isobaric ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ and ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ collisions are predicted. The (anti-)hypertriton and (anti-)nuclei production is found to be insensitive to the chiral magnetic effects. Experimental data of $\text{Cu}+\text{Cu}, \text{Au}+\text{Au,}$ and $\text{Pb}+\text{Pb}$ collisions from RHIC, LHC, and the results of the paciae $+$ dcpc model are presented in the results for comparison.

Figure 1

(a) The transverse momentum spectrum of particles ($p, \overline{p}, \mathrm{\Lambda }, \overline{\mathrm{\Lambda }}$) in midrapidity ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ and ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV. The open symbols show the results of paciae model with CME, and the solid symbols show the results from STAR data [46, 47]. For clarity the spectra data are divided by powers of 10. (b) The yield ratios of particles ($p, \overline{p}, \mathrm{\Lambda }, \overline{\mathrm{\Lambda }}$) produced in ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ collisions to that in ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ collisions.

Figure 2

The ratios and mixed ratios of (anti-)matter form paciae $+$ dcpc model with CME (open symbols) in 0%–10% $\text{Ru}+\text{Ru}$ and $\text{Zr}+\text{Zr}$ collisions, compared with $\text{Cu}+\text{Cu}$ and $\text{Au}+\text{Au}$ collisions. The data are taken from STAR [6, 46, 47, 48, 49]. The vertical lines and error boxes show statistical and systematic errors, respectively.

Figure 3

The coalescence parameters $\sqrt{B_3}$ of ${}_{\mathrm{\Lambda }}{}^3\mathrm{H}\left({}_{\overline{\mathrm{\Lambda }}}{}^3\overline{\mathrm{H}}\right)$, as well as ${}^3\mathrm{H}\left({}^3\overline{\mathrm{H}}\right)$ and ${}^3\mathrm{He}\left({}^3\overline{\mathrm{H}}\mathrm{e}\right)$ are compared in isobars ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ and ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV with the paciae$+$ dcpc model with CME. It is also compared with the results from different collisions of $\text{Cu}+\text{Cu}$ [38], $\text{Au}+\text{Au}$ [42], and $\text{Pb}+\text{Pb}$ [43] collisions. The open symbols denote the results computed by paciae$+$ dcpc. The solid points take from STAR [50] and ALICE [7]. The error bars show statistical uncertainties.

Figure 4

Comparison of strangeness population factor $s_3\left(s_3^t\right)$ in isobars ${}_{44}{}^{96}\mathrm{Ru}+{}_{44}{}^{96}\mathrm{Ru}$ and ${}_{40}{}^{96}\mathrm{Zr}+{}_{40}{}^{96}\mathrm{Zr}$ collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV by paciae $+$ dcpc model with CME. It is also compared with the results of $\text{Cu}+\text{Cu}$ [20], $\text{Au}+\text{Au}$ [42], and $\text{Pb}+\text{Pb}$ [43] collisions. The open symbols denote the results computed by paciae $+$ dcpc, and the solid points denote data from STAR [6] and ALICE [7]. Error bars and error boxes denote statistical and systematic errors, respectively.