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Most charming dibaryon near unitarity

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arxiv 2112.01682 v1 pith:L6TUXB2U submitted 2021-12-03 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords omegamathrmphysicalaccountbaryonsbasischannelcharge
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present a first study on a pair of triply charmed baryons, $\Omega_{ccc}\Omega_{ccc}$ in the $^1S_0$ channel, on the basis of the HAL QCD method. The measurements are perfomed on the $(2+1)$-flavor lattice QCD configurations with nearly physical light-quark masses and physical charm-quark mass. We show that the system with the Coulomb repulsion taking into account the charge form factor of $\Omega_{ccc}$ leads to the scattering length $a^\mathrm{C}_0\simeq-19$ fm and the effective range $r^\mathrm{C}_\mathrm{eff}\simeq0.45$ fm, which indicates $\Omega_{ccc}\Omega_{ccc}$ is located in the unitary regime.

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    Deep neural networks can recover hadron interaction potentials from simulated femtoscopy and lattice QCD correlation data, with validation currently limited to synthetic tests and a toy model.

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