📝 SummarXiv

Abstract

Newly, first-principles lattice QCD results at the physical pion mass, $ m_\pi \backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon (N) and the triply charmed Omega baryon ($\Omega_{ccc}$). The N$\Omega_{ccc}$ potentials in the spin-1 $ \left(^{3}S_{1}\right) $ and spin-2 $ \left(^{5}S_{2}\right) $ channels were derived and found to be attractive, though no bound state was supported in these channels. It is shown that, when the spin-1 and spin-2 N$\Omega_{ccc}$ channels are combined with the realistic NN Malfliet-Tjon (MT) potential in the $ ^{3}S_{1} $ channel, near-threshold resonances of deuteron (d)-$\Omega_{ccc}$ are generated with energies near 1.3 MeV and 1.2 MeV below the three-body breakup threshold for the states with quantum numbers $(I)J^{\pi} = (0)1/2^{+}$ and $(0)5/2^{+}$, respectively. And no bound state is found for the NN$\Omega_{ccc}$ system.