Abstract
A pair of triply charmed baryons, Ω_{ccc}Ω_{ccc}, is studied as an ideal dibaryon system by (2+1)-flavor lattice QCD with nearly physical light-quark masses and the relativistic heavy-quark action with the physical charm quark mass. The spatial baryon-baryon correlation is related to their scattering parameters on the basis of the HAL QCD method. The Ω_{ccc}Ω_{ccc} in the ^{1}S_{0} channel, taking into account the Coulomb repulsion with the charge form factor of Ω_{ccc}, leads to the scattering length a_{0}^{C}≃-19 fm and the effective range r_{eff}^{C}≃0.45 fm. The ratio r_{eff}^{C}/a_{0}^{C}≃-0.024, whose magnitude is considerably smaller than that of the dineutron (-0.149), indicates that Ω_{ccc}Ω_{ccc} is located in the unitary regime.
Highlights
In this Letter, we present our study of a system with the charm number C 1⁄4 6, ΩcccΩccc in the 1S0 channel, for the first time from a first principle lattice QCD (LQCD) approach [21]
We show below that Ωþccþc Ωþccþc ð1S0Þ with strong interaction and Coulomb repulsion is located near unitarity [26,27] just above the threshold with a large negative scattering length
Summary and discussion.—In this Letter, we presented a first investigation on the scattering properties of the ΩcccΩccc on the basis of the (2 þ 1)-flavor lattice QCD simulations with physical charm mass and nearly physical light quark masses
Summary
A pair of triply charmed baryons, ΩcccΩccc, is studied as an ideal dibaryon system by (2 þ 1)-flavor lattice QCD with nearly physical light-quark masses and the relativistic heavy-quark action with the physical charm quark mass. The ΩcccΩccc in the 1S0 channel, taking into account the Coulomb repulsion with the charge form factor of Ωccc, leads to the scattering length aC0 ≃ −19 fm and the effective range rCeff ≃ 0.45 fm.
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