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

Abstract

AbstractCharmed nuclei are investigated utilizing $$\varLambda _c N$$ Λ c N and $$\varSigma _c N$$ Σ c N interactions that have been extrapolated from lattice QCD simulations at unphysical masses of $$m_\pi = 410$$ m π = 410 –570 MeV to the physical point using chiral effective field theory as guideline. Calculations of the energies of $$\varLambda _c$$ Λ c single-particle bound states for various charmed nuclei from $$^{\ 5}_{\varLambda _c}$$ Λ c 5 Li to $$^{209}_{\varLambda _c}$$ Λ c 209 Bi are performed using a perturbative many-body approach. This approach allows one to determine the finite nuclei $$\varLambda _c$$ Λ c self-energy from which the energies of the different bound states can be obtained. Though the $$\varLambda _c N$$ Λ 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 $$\varLambda $$ Λ hypernuclei. Additional calculations based on the Faddeev-Yakubovsky equations suggest that also $$A=4$$ A = 4 systems involving a $$\varLambda _c$$ Λ c baryon are likely to be bound, but exclude a bound $$^{\, 3}_{\varLambda _c}\hbox {He}$$ Λ c 3 He state.