Search for muoproduction of $X (3872)$ at COMPASS and indication of a new state $\widetilde{X}(3872)$

We have observed exclusive production of the exotic $X(3872)$ hadron in the reaction $\mu^+~N \rightarrow \mu^+ (J\!/\!\psi\pi^+\pi^-)\pi^{\pm}~N'$ using COMPASS data collected with incoming muons of 160~GeV/$c$ and 200~GeV/$c$ momentum. The statistical significance of the $X(3872)$ signal is 6$\sigma$. The shape of the two-pion mass distribution shows disagreement with previous observations. The product of cross section and branching fraction of the $X(3872)$ decay into $J\!/\!\psi\pi\pi$ is determined to be 71$\pm$28(stat)$\pm$39(syst)~pb.