Abstract
We present a comparative study of the charmed baryon–nucleon interaction based on different theoretical approaches. For this purpose, we make use of (i) a constituent quark model tuned in the light-flavor baryon–baryon interaction and the hadron spectra, (ii) existing results in the literature based both on hadronic and quark-level descriptions, (iii) (2+1)-flavor lattice QCD results of the HAL QCD Collaboration at unphysical pion masses and their effective field theory extrapolation to the physical pion mass. There is a general qualitative agreement among the different available approaches to the charmed baryon–nucleon interaction. Different from hadronic models based on one-boson exchange potentials, quark-model based results point to soft interactions without two-body bound states. They also support a negligible channel coupling, due either to tensor forces or to transitions between different physical channels, Lambda _c N – Sigma _c N. Short-range gluon and quark-exchange dynamics generate a slightly larger repulsion in the ^1S_0 than in the ^3S_1Lambda _c N partial wave. A similar asymmetry between the attraction in the two S waves of the Lambda _c N interaction also appears in hadronic approaches. A comparative detailed study of Pauli suppressed partial waves, as the ^1S_0 (I=1/2) and ^3S_1 (I=3/2)Sigma _c N channels, would help to disentangle the short-range dynamics of two-baryon systems containing heavy flavors. The possible existence of charmed hypernuclei is discussed.
Highlights
The research programs at various facilities are expected to improve our knowledge on the hadron–hadron interactions involving heavy flavors, in the charm sector
We present a comparative study of the charmed baryon–nucleon interaction based on different theoretical approaches
This resulted in several theoretical estimates about the binding energy and the potential-well depth of charmed hypernuclei based on one-boson-exchange potentials for the charmed baryon–nucleon interaction [18,19,20,21,22]
Summary
The research programs at various facilities are expected to improve our knowledge on the hadron–hadron interactions involving heavy flavors, in the charm sector. The observation of events that could be interpreted in terms of the decay of a charmed nucleus [13,14], fostered conjectures about the possible existence of charm analogs of strange hypernuclei [15,16,17] This resulted in several theoretical estimates about the binding energy and the potential-well depth of charmed hypernuclei based on one-boson-exchange potentials for the charmed baryon–nucleon interaction [18,19,20,21,22]. The situation can be ameliorated with the use of well-constrained models based as much as possible on symmetry principles and analogies with other similar processes, which is still a valid alternative for making progress Within such a perspective, in this work we present the first comparative study of the charmed baryon–nucleon interaction based on different theoretical approaches.
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