Charmed baryon–nucleon interaction

Abstract

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) ($$2+1$$ 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, $$\Lambda _c N $$ ΛcN –$$ \Sigma _c N$$ ΣcN . Short-range gluon and quark-exchange dynamics generate a slightly larger repulsion in the $$^1S_0$$ 1S0 than in the $$^3S_1$$ 3S1 $$\Lambda _c N$$ ΛcN partial wave. A similar asymmetry between the attraction in the two S waves of the $$\Lambda _c N$$ ΛcN interaction also appears in hadronic approaches. A comparative detailed study of Pauli suppressed partial waves, as the $$^1S_0 (I=1/2)$$ 1S0(I=1/2) and $$^3S_1 (I=3/2)$$ 3S1(I=3/2) $$\Sigma _c N$$ ΣcN channels, would help to disentangle the short-range dynamics of two-baryon systems containing heavy flavors. The possible existence of charmed hypernuclei is discussed.