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A.Vazquez Sierra, C.Waldi, R.Wallace, C.Wallace, R.Walsh, J.Wang, J.Ward, D. R.Wark, H. M.Watson, N. K.Websdale, D.Weiden, A.Whitehead, M.Wicht, J.Wilkinson, G.Wilkinson, M.Williams, M.Williams, M. P.Williams, M.Williams, T.Wilson, F. F.Wimberley, J.Wishahi, J.Wislicki, W.Witek, M.Wormser, G.Wotton, S. A.Wraight, K.Wright, S.Wyllie, K.Xie, Y.Xing, Z.Xu, Z.Yang, Z.Yin, H.Yu, J.Yuan, X.Yushchenko, O.Zangoli, M.Zarebski, K. A.Zavertyaev, M.Zhang, L.Zhang, Y.Zhelezov, A.Zheng, Y.Zhokhov, A.Zhukov, V.Zucchelli, S.2017-02-172017-02-172017-02-17201710.1103/PhysRevD.95.012002https://infoscience.epfl.ch/handle/20.500.14299/134529WOS:000391861200001The first full amplitude analysis of B+ -> J/psi phi K+ with J/psi -> mu(+)mu(-), phi -> K+K- decays is performed with a data sample of 3 fb(-1) of pp collision data collected at root s = 7 and 8 TeV with the LHCb detector. The data cannot be described by a model that contains only excited kaon states decaying into phi K+, and four J/psi phi structures are observed, each with significance over 5 standard deviations. The quantum numbers of these structures are determined with significance of at least 4 standard deviations. The lightest has mass consistent with, but width much larger than, previous measurements of the claimed X(4140) state. The model includes significant contributions from a number of expected kaon excitations, including the first observation of the K*(1680)+ -> phi K+ transition.text::journal::journal article::research article