Measurement of cross sections of the interactions e + e − → φφω and e + e − → φφφ at center - of - mass energies from 4 . 008 to 4 . 600 GeV

M. Ablikim a, M.N. Achasov i,5, S. Ahmed n, X.C. Ai a, O. Albayrak e, M. Albrecht d, D.J. Ambrose aw, A. Amoroso bb,bd, F.F. An a, Q. An ay,1, J.Z. Bai a, O. Bakina y, R. Baldini Ferroli t, Y. Ban ag, D.W. Bennett s, J.V. Bennett e, N. Berger x, M. Bertani t, D. Bettoni v, J.M. Bian av, F. Bianchi bb,bd, E. Boger y,3, I. Boyko y, R.A. Briere e, H. Cai bf, X. Cai a,1, O. Cakir ap, A. Calcaterra t, G.F. Cao a, S.A. Cetin aq, J. Chai bd, J.F. Chang a,1, G. Chelkov y,3,4, G. Chen a, H.S. Chen a, J.C. Chen a, M.L. Chen a,1, S. Chen at, S.J. Chen ae, X. Chen a,1, X.R. Chen ab, Y.B. Chen a,1, X.K. Chu ag, G. Cibinetto v, H.L. Dai a,1, J.P. Dai aj,10, A. Dbeyssi n, D. Dedovich y, Z.Y. Deng a, A. Denig x, I. Denysenko y, M. Destefanis bb,bd, F. De Mori bb,bd, Y. Ding ac, C. Dong af, J. Dong a,1, L.Y. Dong a, M.Y. Dong a,1, Z.L. Dou ae, S.X. Du bh, P.F. Duan a, J.Z. Fan ao, J. Fang a,1, S.S. Fang a, X. Fang ay,1, Y. Fang a, R. Farinelli v,w, L. Fava bc,bd, F. Feldbauer x, G. Felici t, C.Q. Feng ay,1, E. Fioravanti v, M. Fritsch n,x, C.D. Fu a, Q. Gao a, X.L. Gao ay,1, Y. Gao ao, Z. Gao ay,1, I. Garzia v, K. Goetzen j, L. Gong af, W.X. Gong a,1, W. Gradl x, M. Greco bb,bd, M.H. Gu a,1, Y.T. Gu l, Y.H. Guan a, A.Q. Guo a, L.B. Guo ad, R.P. Guo a, Y. Guo a, Y.P. Guo x, Z. Haddadi aa, A. Hafner x, S. Han bf, X.Q. Hao o, F.A. Harris au, K.L. He a, F.H. Heinsius d, T. Held d, Y.K. Heng a,1, T. Holtmann d, Z.L. Hou a, C. Hu ad, H.M. Hu a, T. Hu a,1, Y. Hu a, G.S. Huang ay,1, J.S. Huang o, X.T. Huang ai, X.Z. Huang ae, Z.L. Huang ac, T. Hussain ba, W. Ikegami Andersson be, Q. Ji a, Q.P. Ji o, X.B. Ji a, X.L. Ji a,1, L.W. Jiang bf, X.S. Jiang a,1, X.Y. Jiang af, J.B. Jiao ai, Z. Jiao q, D.P. Jin a,1, S. Jin a, T. Johansson be, A. Julin av, N. Kalantar-Nayestanaki aa, X.L. Kang a, X.S. Kang af, M. Kavatsyuk aa, B.C. Ke e, P. Kiese x, R. Kliemt j, B. Kloss x, O.B. Kolcu aq,8, B. Kopf d, M. Kornicer au, A. Kupsc be, W. Kühn z, J.S. Lange z, M. Lara s, P. Larin n, H. Leithoff x, C. Leng bd, C. Li be, Cheng Li ay,1, D.M. Li bh, F. Li a,1, F.Y. Li ag, G. Li a, H.B. Li a, H.J. Li a, J.C. Li a, Jin Li ah, K. Li m, K. Li ai, Lei Li c, P.R. Li g,at, Q.Y. Li ai, T. Li ai, W.D. Li a, W.G. Li a, X.L. Li ai, X.N. Li a,1, X.Q. Li af, Y.B. Li b, Z.B. Li an, H. Liang ay,1, Y.F. Liang al, Y.T. Liang z, G.R. Liao k, D.X. Lin n, B. Liu aj,10, B.J. Liu a, C.X. Liu a, D. Liu ay,1, F.H. Liu ak, Fang Liu a, Feng Liu f, H.B. Liu l, H.H. Liu a, H.H. Liu p, H.M. Liu a, J. Liu a, J.B. Liu ay,1, J.P. Liu bf, J.Y. Liu a, K. Liu ao, K.Y. Liu ac, L.D. Liu ag, P.L. Liu a,1, Q. Liu at, S.B. Liu ay,1, X. Liu ab, Y.B. Liu af, Y.Y. Liu af, Z.A. Liu a,1, Zhiqing Liu x, H. Loehner aa, Y.F. Long ag, X.C. Lou a,1,7, H.J. Lu q, J.G. Lu a,1, Y. Lu a, Y.P. Lu a,1, C.L. Luo ad, M.X. Luo bg, T. Luo au, X.L. Luo a,1, X.R. Lyu at, F.C. Ma ac, H.L. Ma a, L.L. Ma ai, M.M. Ma a, Q.M. Ma a, T. Ma a, X.N. Ma af, X.Y. Ma a,1, Y.M. Ma ai, F.E. Maas n, M. Maggiora bb,bd, Q.A. Malik ba, Y.J. Mao ag, Z.P. Mao a, S. Marcello bb,bd, J.G. Messchendorp aa, G. Mezzadri w, J. Min a,1, T.J. Min a, R.E. Mitchell s, X.H. Mo a,1, Y.J. Mo f, C. Morales Morales n, G. Morello t, N.Yu. Muchnoi i,5, H. Muramatsu av, P. Musiol d, Y. Nefedov y, F. Nerling j, I.B. Nikolaev i,5, Z. Ning a,1, S. Nisar h, S.L. Niu a,1,