Hadronic molecular states with the quark contents bc(s)over-bar(q)over-bar, b(c)over-bars(q)over-bar, and b(c)over-bar(s)over-barq

We study the hadronic molecular states with the quark content bc (s) over bar(q) over bar by investigating the interactions of the (B) over bar D-s, (B) over barD(s), (B) over bar (s)*D, (B) over barD(s)*, (B) over bar (s)*D*, (B) over barD(s)*, (B) over bar (s)*D*, and (B) over bar *D-s* s systems. By solving the Bethe-Salpeter equation within the extended local hidden gauge formalism, we find altogether six poles qualifying as possible hadronic molecular states: one pole of J(P) =0(+) below the (B) over bar D-s-(D) over bar (s) threshold, one pole of J(P) =1(+) below the (B) over bar (s)*D-(B) over bar *D-s threshold, one pole of J(P) =1(+) below the (B) over bar D-s*-(D) over bar (s)* threshold, and three poles of J(P) = 0(+)= 1(+)= 2(+) below the (B) over bar (s)*D*-(B) over bar *D-s* threshold. Their binding energies are calculated to be about 10-20 MeV with the cutoff momentum q(max) =600 MeV. Similarly, we study the hadronic molecular states with bs (c) over bar(q) over bar by investigating the interactions of the (B) over bar(D) over bar (s), (B) over bar (c)(K) over bar, (B) over bar(D) over bar (s), (B) over bar (c)(K) over bar, (B) over bar(D) over bar (s), (B) over bar (c)(K) over bar*, *(D) over bar (s)*,(B) over bar (c)*(K) over bar (*) systems, and the states with bq (c) over bar(s) over bar by investigating the interactions of the (B) over bar (s)(D) over bar, (B) over bar K-c, (B) over bar (s)*(D) over bar, (B) over bar K-c, (B) over bar (s)(D) over bar*, (B) over bar K-c*, (B) over bar (s)*(D) over bar*, (B) over bar (c)*K* systems. However, no deeply bound poles are found in these systems.

Automated summary

We study the hadronic molecular states with different quark contents and find possible hadronic molecular states for bc (s) over bar(q) over bar systems and bq (c) over bar(s) over bar systems, but no deeply bound poles are found in these systems.