Hadronic molecules in B decays

There are eighteen possibly existing D-(*())(D) over bar (()*()), D-(*())(K) over bar (()*()), and D-(*D-)(s)(*()-) hadronic molecular states. We construct their corresponding interpolating currents and calculate their decay constants using QCD sum rules. Based on these results, we calculate their relative production rates in B and B* decays through the current algebra, and calculate their relative branching ratios through the Fierz rearrangement, as summarized in Table III. Our results support the interpretations of the X(3872), Z(c)(3900)(0), Z(c)(4020)(0), and X-0(2900) as the molecular states D (D) over bar* of J(PC) = 1(++), D (D) over bar* of J(PC) = 1(+-), D*(D) over bar* J(PC )= 1(+-), and D*(K) over bar* of J(P) = 0(+), of respectively. Our results also suggest that the Z(cs)(3985)(-), Z(cs)(4000)(+), and Z(cs)(4220)(+) are strange partners of the Z(c)(3872), Z(c)(3900)(0), and Z(c)(4020)(0), respectively. In the calculations we estimate the lifetime of a weakly coupled composite particle A = vertical bar BC > to be 1/t(A) approximate to 1/t(B) + 1/t(C) + Gamma(A -> BC) + ..., with ... partial widths of other possible decay channels.

Automated summary

In this study, the interpolating currents and decay constants of D(*())(D) over bar (()*()), D-(*())(K) over bar (()*()), and D-(*D-)(s)(*()-) hadronic molecular states were calculated using QCD sum rules. The relative production rates in B and B* decays and relative branching ratios were then calculated through current algebra and Fierz rearrangement.