Measurement of $\rm ^4_ΛH$ and $\rm ^4_ΛHe$ binding energy in Au+Au collisions at $\sqrt{s_\mathrm{NN}}$ = 3 GeV
Measurements of mass and $Λ$ binding energy of $\rm ^4_ΛH$ and $\rm ^4_ΛHe$ in Au+Au collisions at $\sqrt{s_{_{\rm NN}}}=3$ GeV are presented, with an aim to address the charge symmetry breaking (CSB) problem in hypernuclei systems with atomic number A = 4. The $Λ$ binding energies are measured to be $\rm 2.22\pm0.06(stat.) \pm0.14(syst.)$ MeV and $\rm 2.38\pm0.13(stat.) \pm0.12(syst.)$ MeV for $\rm ^4_ΛH$ and $\rm ^4_ΛHe$, respectively. The measured $Λ$ binding-energy difference is $\rm 0.16\pm0.14(stat.)\pm0.10(syst.)$ MeV for ground states. Combined with the $γ$-ray transition energies, the binding-energy difference for excited states is $\rm -0.16\pm0.14(stat.)\pm0.10(syst.)$ MeV, which is negative and comparable to the value of the ground states within uncertainties. These new measurements on the $Λ$ binding-energy difference in A = 4 hypernuclei systems are consistent with the theoretical calculations that result in $\rm ΔB_Λ^4(1_{exc}^{+})\approx -ΔB_Λ^4(0_{g.s.}^{+})<0$ and present a new method for the study of CSB effect using relativistic heavy-ion collisions.