Predictions for charmed nuclei based on $Y_{c}N$ forces inferred from lattice QCD simulations

Abstract

Charmed nuclei are investigated utilizing ${\Lambda }_{c}N$ and ${\Sigma }_{c}N$ interactions that have been extrapolated from lattice QCD simulations at unphysical masses of $m_{\pi }=410$--$570$ MeV to the physical point using chiral effective field theory as guideline. Calculations of the energies of ${\Lambda }_c$ single-particle bound states for various charmed nuclei from ${}_{{\Lambda }_c}^5$Li to ${}_{{\Lambda }_c}^{209}$Bi are performed using a perturbative many-body approach. This approach allows one to determine the finite nuclei ${\Lambda }_c$ self-energy from which the energies of the different bound states can be obtained. Though the ${\Lambda }_{c}N$ interaction inferred from the lattice results is only moderately attractive, it supports the existence of charmed nuclei. Already the lightest nucleus considered is found to be bound. The spin-orbit splitting of the p- and d-wave states turns out to be small, as in the case of single $\Lambda$ hypernuclei. Additional calculations based on the Faddeev-Yakubovsky equations suggest that also $A=4$ systems involving a ${\Lambda }_c$ baryon are likely to be bound, but exclude a bound ${}_{{\Lambda }_c}^3$He state.

arXiv comment13 pages, 5 figures

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Cited by in corpus (6)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• On the structure in the $\Lambda N$ cross section at the $\Sigma N$ threshold
• Ground State Properties of Charmed Hypernuclei with Mean Field Approach
• Charmed hypernuclei within density-dependent relativistic mean-field theory
• Singly heavy baryons in nuclear matter from an SU(3) chiral soliton model
• A simple model of the charmed hypertriton