Quantum numbers of the $X(3872)$ state and orbital angular momentum in its $ρ^0 Jψ$ decay
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Beteta, C. Abellan
name: Adeva, B.
name: Adinolfi, M.
name: Adrover, C.
name: Affolder, A.
name: Ajaltouni, Z.
name: Albrecht, J.
name: Alessio, F.
name: Alexander, M.
name: Ali, S.
name: Alkhazov, G.
name: Cartelle, P. Alvarez
name: Alves, A. A.
name: Amato, S.
name: Amerio, S.
name: Amhis, Y.
name: Anderlini, L.
name: Anderson, J.
name: Andreassen, R.
name: Appleby, R. B.
name: Gutierrez, O. Aquines
name: Archilli, F.
name: Artamonov, A.
name: Artuso, M.
name: Aslanides, E.
name: Auriemma, G.
name: Bachmann, S.
name: Back, J. J.
name: Baesso, C.
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name: Bencivenni, G.
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name: Bowcock, T. J. V.
name: Bowen, E.
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name: Brambach, T.
name: Brand, J. van den
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Publisher: name: arXiv
Year: 2015
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: Angular correlations in $B^+\to X(3872) K^+$ decays, with $X(3872)\to ρ^0 J/ψ$, $ρ^0\toπ^+π^-$ and $J/ψ\toμ^+μ^-$, 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.
description: 16 pages, 4 figures