Heavy flavored baryon hypernuclei in a relativistic mean-field model

We investigate the properties of heavy flavored baryon hypernuclei (i.e., Λc+, Λb, Ξc+ and Ξc0 hypernuclei) within the framework of the relativistic mean-field model. It is found that no Λc+ or Ξc+ bound states could exist if the potential well depth |UΛc+| ≤ 10 MeV or |UΞc+| ≤ 14 MeV in nuclear matter. If |UΛc+| ≤ 20 MeV or |UΞc+| ≤ 18 MeV, Λc+ or Ξ+c cannot bind to the very heavy nuclei, for example 208Pb. We suggest that it is not necessary to consider heavy systems in the experimental searches for Λc+ and Ξc+ hypernuclei. Very small spin-orbit splittings for Λc+, Ξc+ and Ξc0 hypernuclei are also observed. For Λb, however, it is nearly zero. We find that the positive charges of Λc+ and Ξc+ play a very important role in Λc+ and Ξc+ hypernuclei. It is indeed the heavier mass of the Λb-baryon that makes its level space smaller.