Measurement of ${}_{\mathrm{\Lambda }}^4\mathrm{H}$ and ${}_{\mathrm{\Lambda }}^4\mathrm{He}$ binding energy in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV

Abstract

Measurements of mass and $\Lambda$ binding energy of ${}_{\mathrm{\Lambda }}^4\mathrm{H}$ and ${}_{\mathrm{\Lambda }}^4\mathrm{He}$ in Au+Au collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=3$ GeV are presented, with an aim to address the charge symmetry breaking (CSB) problem in hypernuclei systems with atomic number A = 4. The $\Lambda$ binding energies are measured to be $2.22\pm 0.06(stat.)\pm 0.14(syst.)$ MeV and $2.38\pm 0.13(stat.)\pm 0.12(syst.)$ MeV for ${}_{\mathrm{\Lambda }}^4\mathrm{H}$ and ${}_{\mathrm{\Lambda }}^4\mathrm{He}$, respectively. The measured $\Lambda$ binding-energy difference is $0.16\pm 0.14(stat.)\pm 0.10(syst.)$ MeV for ground states. Combined with the $\gamma$-ray transition energies, the binding-energy difference for excited states is $-0.16\pm 0.14(stat.)\pm 0.10(syst.)$ MeV, which is negative and comparable to the value of the ground states within uncertainties. These new measurements on the $\Lambda$ binding-energy difference in A = 4 hypernuclei systems are consistent with the theoretical calculations that result in $\mathrm{\Delta }{\mathrm{B}}_{\mathrm{\Lambda }}^4(1_{\mathrm{exc}}^{+})\approx -\mathrm{\Delta }{\mathrm{B}}_{\mathrm{\Lambda }}^4(0_{g.s.}^{+})<0$ and present a new method for the study of CSB effect using relativistic heavy-ion collisions.

arXiv comment8 pages, 5 figures

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