Molecular pentaquark states with open charm and bottom flavors

Abstract

We study the possibly-existing molecular pentaquark states with open charm and bottom flavors, {\it i.e.}, the states with the quark contents $c\bar{b}qqq$ and $b\bar{c}qqq$ ($q=u,d,s$). We investigate the meson-baryon interactions through the coupled-channel unitary approach within the local hidden-gauge formalism, and extract the poles by solving the Bethe-Salpeter equation in coupled channels. These poles qualify as molecular pentaquark states, which are dynamically generated from the meson-baryon interactions through the exchange of vector mesons. Our results suggest the existence of the ${\Sigma }_c^{(\ast )}{B}^{(\ast )}$ and ${\Sigma }_b^{(\ast )}{\bar{D}}^{(\ast )}$ molecular states with isospin $I=1/2$, the ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ and ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecular states with isospin $I=0$ and $I=1$, as well as the ${\Omega }_c^{(\ast )}{B}^{(\ast )}$ and ${\Omega }_b^{(\ast )}{\bar{D}}^{(\ast )}$ molecular states with isospin $I=1/2$.

Comments: 25 pages, 6 figures, 7 tables, revised version to be published in EPJA