$ΛΛ$ and N$Ξ$ interactions from Lattice QCD near the physical point

The $S$-wave $ΛΛ$ and $N Ξ$ interactions are studied on the basis of the (2+1)-flavor lattice QCD simulations close to the physical point ($m_π\simeq 146{\rm{MeV}}$ and $m_K \simeq 525{\rm{MeV}}$). Lattice QCD potentials in four different spin-isospin channels are extracted by using the coupled-channel HAL QCD method and are parametrized by analytic functions to calculate the scattering phase shifts. The $ΛΛ$ interaction at low energies shows only a weak attraction, which does not provide a bound or resonant dihyperon. The $NΞ$ interaction in the spin-singlet and isospin-singlet channel is most attractive and lead the $NΞ$ system near unitarity. Relevance to the strangeness=$-2$ hypernuclei as well as to two-baryon correlations in proton-proton, proton-nucleus and nucleus-nucleus collisions is also discussed.

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