Quantum numbers of the $X(3872)$ state and orbital angular momentum in its ${\rho }^{0}J\psi$ decay

Abstract

Angular correlations in $B^{+}\to X(3872)K^{+}$ decays, with $X(3872)\to {\rho }^{0}J/\psi$, ${\rho }^0\to {\pi }^{+}{\pi }^{-}$ and $J/\psi \to {\mu }^{+}{\mu }^{-}$, are used to measure orbital angular momentum contributions and to determine the $J^{PC}$ value of the $X(3872)$ meson. The data correspond to an integrated luminosity of 3.0 fb${}^{-1}$ of proton-proton collisions collected with the LHCb detector. This determination, for the first time performed without assuming a value for the orbital angular momentum, confirms the quantum numbers to be $J^{PC}=1^{++}$. The $X(3872)$ is found to decay predominantly through S wave and an upper limit of $4\%$ at $95\%$ C.L. is set on the fraction of D wave.

16 pages, 4 figures

References in corpus (1)

• PYTHIA 6.4 Physics and Manual

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