Possible $\Sigma_c^* \bar{\Sigma}$ molecular states

Abstract

We investigate the possibility of deuteron-like $\Sigma_c^*\bar{\Sigma}$ 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 $\Sigma_c^*\bar{\Sigma}$ 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.