Studies of charmed states in amplitude analyses at LHCb

Amplitude analysis is a powerful tool to study the properties of intermediate resonances produced in the decays of $B$ mesons. At LHCb we have studied $B^+ \to X(3872) K^+$, where $X(3872) \to J/\psi \pi^+ \pi^-$, to determine the quantum numbers of the $X(3872)$, and $B^+ \to p \overline{p} K^+$ to learn more about ($c \overline{c}$) to $ p \overline{p}$ transitions. We also exploit the spin of the $J/\psi$ to perform amplitude analyses of the decays $B^0_s \to J/\psi \pi^+ \pi^-$, $B^0_s \to J/\psi K^+ K^-$, $B^0 \to J/\psi \pi^+ \pi^-$, and $B^0 \to J/\psi K^+ K^-$. Our results use 1.0 $\rm{fb}^{-1}$ of data taken in 2011 from 7 TeV proton-proton collisions, provided by the LHC.