English

Possible $S$-wave $ND^{(*)}$ and $N\bar B^{(*)}$ bound states in a chiral quark model

Nuclear Theory 2019-03-05 v1

Abstract

SS-wave bound-states composed of a nucleon(NN) and a heavy meson (DD, DD^*, Bˉ\bar{B} or Bˉ\bar{B}^*) are investigated in both the chiral SU(3) quark model and the extended chiral SU(3) quark model by solving the resonating group method equation. The results reveal that the NDND and NDND^* interactions in the corresponding relative SS-wave states are attractive, arising mainly from one boson exchange processes between light quarks. It is shown that these attractions are strong enough to form six NDND and NDND^* SS-wave bound states in the extended chiral SU(3) quark model with the binding energies in the range of 3453-45 MeV, and three SS-wave bound states within the chiral SU(3) quark model with binding energies of 282-8 MeV. In particular, the experimentally observed Σc(2800)\Sigma_c(2800) is interpreted to be most likely an SS-wave NDND state with the total isopsin I=0I=0 and spin-parity JP=1/2J^P=1/2^-, while Λc(2940)+\Lambda_c(2940)^+ as an SS-wave NDND^* state with I=0I=0 and JP=3/2J^P=3/2^-. Further information on the NDND and NDND^* interactions in the (unbound) scattering kinematics are obtained from the corresponding SS-wave phase shifts. The NBˉN\bar{B} and NBˉN\bar{B}^* systems are also investigated within the present two models and some SS-wave bound states with binding energies in the range of 1601-60 MeV are predicted in these systems: six (in total) within the extended chiral SU(3) quark model and, four, within the chiral SU(3) quark model.

Keywords

Cite

@article{arxiv.1903.01207,
  title  = {Possible $S$-wave $ND^{(*)}$ and $N\bar B^{(*)}$ bound states in a chiral quark model},
  author = {Dan Zhang and Dan Yang and Xiao-Fei Wang and Kanzo Nakayama},
  journal= {arXiv preprint arXiv:1903.01207},
  year   = {2019}
}

Comments

11 pages, 4 figures