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

Johann Haidenbauer,Andreas Nogga,Isaac Vidaña

doi:10.1140/epja/s10050-020-00185-x

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.

Highlights

This approach allows one to determine the finite nuclei Λc self-energy from which the energies of the different bound states can be obtained
Those studies, based on unphysical quark masses corresponding to pion masses of mπ = 410–700 MeV, suggest that the Λc N and Σc N interactions could be significantly less attractive than what had been proposed in the phenomenological studies mentioned above
The Λc N and Σc N interactions are constructed by using chiral effective field theory (EFT) as guideline, following the scheme employed in our studies of the ΛN and Σ N systems [60,61,62,63]

Summary

Introduction

The Λc N forces employed in the past investigations were predominantly derived within the meson-exchange framework, see Refs. [14,17] for recent examples, often utilizing SU(4) flavor symmetry in one form or the other. A rather different picture emerged from recent lattice QCD (LQCD) simulations by the HAL QCD collaboration [49,50] Those studies, based on unphysical quark masses corresponding to pion masses of mπ = 410–700 MeV, suggest that the Λc N and Σc N interactions could be significantly less attractive than what had been proposed in the phenomenological studies mentioned above. [17]) turned out to be already bound In this context, let us mention that the HAL QCD collaboration has likewise reported results for charmed nuclei [49]. For completeness, we report predictions for the Σc N S-wave phase shifts based on our extrapolation of the HAL QCD results [50] Another extrapolation of the lattice results for Σc N , performed in heavy baryon chiral perturbation theory and taking into account heavy quark spin symmetry, has been performed recently [57].

The Λc N and Σc N potentials

Results for the dependence

Λc nuclei and matter properties

Λc in infinite nuclear matter

Heavier charmed nuclei

Summary and conclusions