Predictions for charmed nuclei based on Y_c N forces inferred from lattice QCD simulations

Abstract

Charmed nuclei are investigated utilizing varLambda _c N and varSigma _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 varLambda _c single-particle bound states for various charmed nuclei from ^{ 5}_{varLambda _c}Li to ^{209}_{varLambda _c}Bi are performed using a perturbative many-body approach. This approach allows one to determine the finite nuclei varLambda _c self-energy from which the energies of the different bound states can be obtained. Though the varLambda _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 varLambda hypernuclei. Additional calculations based on the Faddeev-Yakubovsky equations suggest that also A=4 systems involving a varLambda _c baryon are likely to be bound, but exclude a bound ^{, 3}_{varLambda _c}hbox {He} state.