Author:
Haidenbauer Johann,Nogga Andreas,Vidaña Isaac
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.
Funder
European Cooperation in Science and Technology
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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