Measurement of the resonant and CP components in $\overline{B}^0\rightarrow J/ψπ^+π^-$ decays
Creators: name: LHCb Collaboration
name: Aaij, R.
name: Adeva, B.
name: Adinolfi, M.
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: An, L.
name: Anderlini, L.
name: Anderson, J.
name: Andreassen, R.
name: Andreotti, M.
name: Andrews, J. E.
name: Appleby, R. B.
name: Gutierrez, O. Aquines
name: Archilli, F.
name: Artamonov, A.
name: Artuso, M.
name: Aslanides, E.
name: Auriemma, G.
name: Baalouch, M.
name: Bachmann, S.
name: Back, J. J.
name: Badalov, A.
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name: Barlow, R. J.
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name: Batozskaya, V.
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name: Beddow, J.
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name: Bencivenni, G.
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name: Benton, J.
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name: Bernet, R.
name: Bettler, M. -O.
name: van Beuzekom, M.
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name: Bizzeti, A.
name: Bjørnstad, P. M.
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name: Borgia, A.
name: Borsato, M.
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Publisher: name: arXiv
Year: 2014
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: Nuclear Experiment (nucl-ex)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: The resonant structure of the reaction $\overline{B}^0\rightarrow J/ψπ^+π^-$ is studied using data from 3 fb$^{-1}$ of integrated luminosity collected by the LHCb experiment, one-third at 7 Tev center-of-mass energy and the remainder at 8 Tev. The invariant mass of the $π^+π^-$ pair and three decay angular distributions are used to determine the fractions of the resonant and non-resonant components. Six interfering $π^+π^-$ states: $ρ(770)$, $f_0(500)$, $f_2(1270)$, $ρ(1450)$, $ω(782)$ and $ρ(1700)$ are required to give a good description of invariant mass spectra and decay angular distributions. The positive and negative CP fractions of each of the resonant final states are determined. The $f_0(980)$ meson is not seen and the upper limit on its presence, compared with the observed $f_0(500)$ rate, is inconsistent with a model of tetraquark substructure for these scalar mesons at the eight standard deviation level. In the $q\overline{q}$ model, the absolute value of the mixing angle between the $f_0(980)$ and the $f_0(500)$ scalar mesons is limited to be less than $17^{\circ}$ at 90% confidence level.
description: 28 pages 14 figures