Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states

Abstract

We investigate the possibility of deuteron-like ${\Sigma }_c^{\ast }\bar{\Sigma }$ bound states within the one-boson-exchange model and systematically analyze the effects of the contact-range ${\delta }^3(\vec{r})$ potential, the tensor term from the vector-meson exchange, and nonlocal potentials due to the dependence on the sum of the initial and final state center-of-mass momenta. We find that the pion-exchange potential including the ${\delta }^3(\vec{r})$ term and the tensor term of the $\rho$-exchange potential exhibit comparable magnitudes but opposite signs for any $S$-wave baryon-antibaryon systems. For the ${\Sigma }_c^{\ast }\bar{\Sigma }$ system, it is most likely to form bound states with mass around 3.7 GeV in the $I(J^P)=0(2^{-})$ and $1(2^{-})$ channels.

Comments: 22 pages, 11 figures