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Dalitz plot analysis of $η_{c} \to K^{+} K^{-} η$ and $η_{c} \to K^{+} K^{-} π^{0}$ in two-photon interactions

J. P. Lees¹, V. Poireau¹, V. Tisserand¹, E. Grauges², A. Palano^3a,3b, G. Eigen⁴, B. Stugu⁴, D. N. Brown⁵, L. T. Kerth⁵ et al. (The BABAR Collaboration)

L. T. Kerth⁵, Yu. G. Kolomensky⁵, M. J. Lee⁵, G. Lynch⁵, H. Koch⁶, T. Schroeder⁶, C. Hearty⁷, T. S. Mattison⁷, J. A. McKenna⁷, R. Y. So⁷, A. Khan⁸, V. E. Blinov^9a,9c, A. R. Buzykaev^9a, V. P. Druzhinin^9a,9b, V. B. Golubev^9a,9b, E. A. Kravchenko^9a,9b, A. P. Onuchin^9a,9c, S. I. Serednyakov^9a,9b, Yu. I. Skovpen^9a,9b, E. P. Solodov^9a,9b, K. Yu. Todyshev^9a,9b, A. J. Lankford¹⁰, M. Mandelkern¹⁰, B. Dey¹¹, J. W. Gary¹¹, O. Long¹¹, C. Campagnari¹², M. Franco Sevilla¹², T. M. Hong¹², D. Kovalskyi¹², J. D. Richman¹², C. A. West¹², A. M. Eisner¹³, W. S. Lockman¹³, W. Panduro Vazquez¹³, B. A. Schumm¹³, A. Seiden¹³, D. S. Chao¹⁴, C. H. Cheng¹⁴, B. Echenard¹⁴, K. T. Flood¹⁴, D. G. Hitlin¹⁴, T. S. Miyashita¹⁴, P. Ongmongkolkul¹⁴, F. C. Porter¹⁴, R. Andreassen¹⁵, Z. Huard¹⁵, B. T. Meadows¹⁵, B. G. Pushpawela¹⁵, M. D. Sokoloff¹⁵, L. Sun¹⁵, P. C. Bloom¹⁶, W. T. Ford¹⁶, A. Gaz¹⁶, J. G. Smith¹⁶, S. R. Wagner¹⁶, R. Ayad^17,†, W. H. Toki¹⁷, B. Spaan¹⁸, D. Bernard¹⁹, M. Verderi¹⁹, S. Playfer²⁰, D. Bettoni^21a, C. Bozzi^21a, R. Calabrese^21a,21b, G. Cibinetto^21a,21b, E. Fioravanti^21a,21b, I. Garzia^21a,21b, E. Luppi^21a,21b, L. Piemontese^21a, V. Santoro^21a, A. Calcaterra²², R. de Sangro²², G. Finocchiaro²², S. Martellotti²², P. Patteri²², I. M. Peruzzi^22,§, M. Piccolo²², M. Rama²², A. Zallo²², R. Contri^23a,23b, M. Lo Vetere^23a,23b, M. R. Monge^23a,23b, S. Passaggio^23a, C. Patrignani^23a,23b, E. Robutti^23a, B. Bhuyan²⁴, V. Prasad²⁴, M. Morii²⁵, A. Adametz²⁶, U. Uwer²⁶, H. M. Lacker²⁷, P. D. Dauncey²⁸, U. Mallik²⁹, C. Chen³⁰, J. Cochran³⁰, S. Prell³⁰, H. Ahmed³¹, A. V. Gritsan³², N. Arnaud³³, M. Davier³³, D. Derkach³³, G. Grosdidier³³, F. Le Diberder³³, A. M. Lutz³³, B. Malaescu^33,‡, P. Roudeau³³, A. Stocchi³³, G. Wormser³³, D. J. Lange³⁴, D. M. Wright³⁴, J. P. Coleman³⁵, J. R. Fry³⁵, E. Gabathuler³⁵, D. E. Hutchcroft³⁵, D. J. Payne³⁵, C. Touramanis³⁵, A. J. Bevan³⁶, F. Di Lodovico³⁶, R. Sacco³⁶, G. Cowan³⁷, J. Bougher³⁸, D. N. Brown³⁸, C. L. Davis³⁸, A. G. Denig³⁹, M. Fritsch³⁹, W. Gradl³⁹, K. Griessinger³⁹, A. Hafner³⁹, E. Prencipe³⁹, K. R. Schubert³⁹, R. J. Barlow^40,¶, G. D. Lafferty⁴⁰, R. Cenci⁴¹, B. Hamilton⁴¹, A. Jawahery⁴¹, D. A. Roberts⁴¹, R. Cowan⁴², G. Sciolla⁴², R. Cheaib⁴³, P. M. Patel^43,*, S. H. Robertson⁴³, N. Neri^44a, F. Palombo^44a,44b, L. Cremaldi⁴⁵, R. Godang^45,**, P. Sonnek⁴⁵, D. J. Summers⁴⁵, M. Simard⁴⁶, P. Taras⁴⁶, G. De Nardo^47a,47b, G. Onorato^47a,47b, C. Sciacca^47a,47b, M. Martinelli⁴⁸, G. Raven⁴⁸, C. P. Jessop⁴⁹, J. M. LoSecco⁴⁹, K. Honscheid⁵⁰, R. Kass⁵⁰, E. Feltresi^51a,51b, M. Margoni^51a,51b, M. Morandin^51a, M. Posocco^51a, M. Rotondo^51a, G. Simi^51a,51b, F. Simonetto^51a,51b, R. Stroili^51a,51b, S. Akar⁵², E. Ben-Haim⁵², M. Bomben⁵², G. R. Bonneaud⁵², H. Briand⁵², G. Calderini⁵², J. Chauveau⁵², Ph. Leruste⁵², G. Marchiori⁵², J. Ocariz⁵², M. Biasini^53a,53b, E. Manoni^53a, S. Pacetti^53a,53b, A. Rossi^53a, C. Angelini^54a,54b, G. Batignani^54a,54b, S. Bettarini^54a,54b, M. Carpinelli^{54a,54b,††}, G. Casarosa^54a,54b, A. Cervelli^54a,54b, M. Chrzaszcz^54a,54b, F. Forti^54a,54b, M. A. Giorgi^54a,54b, A. Lusiani^54a,54c, B. Oberhof^54a,54b, E. Paoloni^54a,54b, A. Perez^54a, G. Rizzo^54a,54b, J. J. Walsh^54a, D. Lopes Pegna⁵⁵, J. Olsen⁵⁵, A. J. S. Smith⁵⁵, R. Faccini^56a,56b, F. Ferrarotto^56a, F. Ferroni^56a,56b, M. Gaspero^56a,56b, L. Li Gioi^56a, G. Piredda^56a, C. Bünger⁵⁷, S. Dittrich⁵⁷, O. Grünberg⁵⁷, T. Hartmann⁵⁷, M. Hess⁵⁷, T. Leddig⁵⁷, C. Voß⁵⁷, R. Waldi⁵⁷, T. Adye⁵⁸, E. O. Olaiya⁵⁸, F. F. Wilson⁵⁸, S. Emery⁵⁹, G. Vasseur⁵⁹, F. Anulli^60,‡‡, D. Aston⁶⁰, D. J. Bard⁶⁰, C. Cartaro⁶⁰, M. R. Convery⁶⁰, J. Dorfan⁶⁰, G. P. Dubois-Felsmann⁶⁰, W. Dunwoodie⁶⁰, M. Ebert⁶⁰, R. C. Field⁶⁰, B. G. Fulsom⁶⁰, M. T. Graham⁶⁰, C. Hast⁶⁰, W. R. Innes⁶⁰, P. Kim⁶⁰, D. W. G. S. Leith⁶⁰, P. Lewis⁶⁰, D. Lindemann⁶⁰, S. Luitz⁶⁰, V. Luth⁶⁰, H. L. Lynch⁶⁰, D. B. MacFarlane⁶⁰, D. R. Muller⁶⁰, H. Neal⁶⁰, M. Perl⁶⁰, T. Pulliam⁶⁰, B. N. Ratcliff⁶⁰, A. Roodman⁶⁰, A. A. Salnikov⁶⁰, R. H. Schindler⁶⁰, A. Snyder⁶⁰, D. Su⁶⁰, M. K. Sullivan⁶⁰, J. Va’vra⁶⁰, A. P. Wagner⁶⁰, W. F. Wang⁶⁰, W. J. Wisniewski⁶⁰, H. W. Wulsin⁶⁰, M. V. Purohit⁶¹, R. M. White^61,§§, J. R. Wilson⁶¹, A. Randle-Conde⁶², S. J. Sekula⁶², M. Bellis⁶³, P. R. Burchat⁶³, E. M. T. Puccio⁶³, M. S. Alam⁶⁴, J. A. Ernst⁶⁴, R. Gorodeisky⁶⁵, N. Guttman⁶⁵, D. R. Peimer⁶⁵, A. Soffer⁶⁵, S. M. Spanier⁶⁶, J. L. Ritchie⁶⁷, A. M. Ruland⁶⁷, R. F. Schwitters⁶⁷, B. C. Wray⁶⁷, J. M. Izen⁶⁸, X. C. Lou⁶⁸, F. Bianchi^69a,69b, F. De Mori^69a,69b, A. Filippi^69a, D. Gamba^69a,69b, L. Lanceri^70a,70b, L. Vitale^70a,70b, F. Martinez-Vidal⁷¹, A. Oyanguren⁷¹, P. Villanueva-Perez⁷¹, J. Albert⁷², Sw. Banerjee⁷², A. Beaulieu⁷², F. U. Bernlochner⁷², H. H. F. Choi⁷², G. J. King⁷², R. Kowalewski⁷², M. J. Lewczuk⁷², T. Lueck⁷², I. M. Nugent⁷², J. M. Roney⁷², R. J. Sobie⁷², N. Tasneem⁷², T. J. Gershon⁷³, P. F. Harrison⁷³, T. E. Latham⁷³, H. R. Band⁷⁴, S. Dasu⁷⁴, Y. Pan⁷⁴, R. Prepost⁷⁴, and S. L. Wu⁷⁴ (The BABAR Collaboration)

¹Laboratoire d’Annecy-le-Vieux de Physique des Particules (LAPP), Université de Savoie, CNRS/IN2P3, F-74941 Annecy-Le-Vieux, France
²Universitat de Barcelona, Facultat de Fisica, Departament ECM, E-08028 Barcelona, Spain
^3aINFN Sezione di Bari, I-70126 Bari, Italy
^3bDipartimento di Fisica, Università di Bari, I-70126 Bari, Italy
⁴University of Bergen, Institute of Physics, N-5007 Bergen, Norway
⁵Lawrence Berkeley National Laboratory and University of California, Berkeley, California 94720, USA
⁶Ruhr Universität Bochum, Institut für Experimentalphysik 1, D-44780 Bochum, Germany
⁷University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
⁸Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom
^9aBudker Institute of Nuclear Physics SB RAS, Novosibirsk 630090, Russia
^9bNovosibirsk State University, Novosibirsk 630090, Russia
^9cNovosibirsk State Technical University, Novosibirsk 630092, Russia
¹⁰University of California at Irvine, Irvine, California 92697, USA
¹¹University of California at Riverside, Riverside, California 92521, USA
¹²University of California at Santa Barbara, Santa Barbara, California 93106, USA
¹³University of California at Santa Cruz, Institute for Particle Physics, Santa Cruz, California 95064, USA
¹⁴California Institute of Technology, Pasadena, California 91125, USA
¹⁵University of Cincinnati, Cincinnati, Ohio 45221, USA
¹⁶University of Colorado, Boulder, Colorado 80309, USA
¹⁷Colorado State University, Fort Collins, Colorado 80523, USA
¹⁸Technische Universität Dortmund, Fakultät Physik, D-44221 Dortmund, Germany
¹⁹Laboratoire Leprince-Ringuet, Ecole Polytechnique, CNRS/IN2P3, F-91128 Palaiseau, France
²⁰University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
^21aINFN Sezione di Ferrara, I-44122 Ferrara, Italy
^21bDipartimento di Fisica e Scienze della Terra, Università di Ferrara, I-44122 Ferrara, Italy
²²INFN Laboratori Nazionali di Frascati, I-00044 Frascati, Italy
^23aINFN Sezione di Genova, I-16146 Genova, Italy
^23bDipartimento di Fisica, Università di Genova, I-16146 Genova, Italy
²⁴Indian Institute of Technology Guwahati, Guwahati, Assam 781 039, India
²⁵Harvard University, Cambridge, Massachusetts 02138, USA
²⁶Universität Heidelberg, Physikalisches Institut, D-69120 Heidelberg, Germany
²⁷Humboldt-Universität zu Berlin, Institut für Physik, D-12489 Berlin, Germany
²⁸Imperial College London, London SW7 2AZ, United Kingdom
²⁹University of Iowa, Iowa City, Iowa 52242, USA
³⁰Iowa State University, Ames, Iowa 50011-3160, USA
³¹Physics Department, Jazan University, Jazan 22822, Kingdom of Saudia Arabia
³²Johns Hopkins University, Baltimore, Maryland 21218, USA
³³Laboratoire de l’Accélérateur Linéaire, IN2P3/CNRS et Université Paris-Sud 11, Centre Scientifique d’Orsay, F-91898 Orsay Cedex, France
³⁴Lawrence Livermore National Laboratory, Livermore, California 94550, USA
³⁵University of Liverpool, Liverpool L69 7ZE, United Kingdom
³⁶Queen Mary, University of London, London E1 4NS, United Kingdom
³⁷University of London, Royal Holloway and Bedford New College, Egham, Surrey TW20 0EX, United Kingdom
³⁸University of Louisville, Louisville, Kentucky 40292, USA
³⁹Johannes Gutenberg-Universität Mainz, Institut für Kernphysik, D-55099 Mainz, Germany
⁴⁰University of Manchester, Manchester M13 9PL, United Kingdom
⁴¹University of Maryland, College Park, Maryland 20742, USA
⁴²Massachusetts Institute of Technology, Laboratory for Nuclear Science, Cambridge, Massachusetts 02139, USA
⁴³McGill University, Montréal, Québec, Canada H3A 2T8
^44aINFN Sezione di Milano, I-20133 Milano, Italy
^44bDipartimento di Fisica, Università di Milano, I-20133 Milano, Italy
⁴⁵University of Mississippi, University, Mississippi 38677, USA
⁴⁶Université de Montréal, Physique des Particules, Montréal, Québec, Canada H3C 3J7
^47aINFN Sezione di Napoli, I-80126 Napoli, Italy
^47bDipartimento di Scienze Fisiche, Università di Napoli Federico II, I-80126 Napoli, Italy
⁴⁸NIKHEF, National Institute for Nuclear Physics and High Energy Physics, NL-1009 DB Amsterdam, The Netherlands
⁴⁹University of Notre Dame, Notre Dame, Indiana 46556, USA
⁵⁰Ohio State University, Columbus, Ohio 43210, USA
^51aINFN Sezione di Padova, I-35131 Padova, Italy
^51bDipartimento di Fisica, Università di Padova, I-35131 Padova, Italy
⁵²Laboratoire de Physique Nucléaire et de Hautes Energies, IN2P3/CNRS, Université Pierre et Marie Curie-Paris6, Université Denis Diderot-Paris7, F-75252 Paris, France
^53aINFN Sezione di Perugia, I-06123 Perugia, Italy
^53bDipartimento di Fisica, Università di Perugia, I-06123 Perugia, Italy
^54aINFN Sezione di Pisa, I-56127 Pisa, Italy
^54bDipartimento di Fisica, Università di Pisa, I-56127 Pisa, Italy
^54cScuola Normale Superiore di Pisa, I-56127 Pisa, Italy
⁵⁵Princeton University, Princeton, New Jersey 08544, USA
^56aINFN Sezione di Roma, I-00185 Roma, Italy
^56bDipartimento di Fisica, Università di Roma La Sapienza, I-00185 Roma, Italy
⁵⁷Universität Rostock, D-18051 Rostock, Germany
⁵⁸Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom
⁵⁹CEA, Irfu, SPP, Centre de Saclay, F-91191 Gif-sur-Yvette, France
⁶⁰SLAC National Accelerator Laboratory, Stanford, California 94309, USA
⁶¹University of South Carolina, Columbia, South Carolina 29208, USA
⁶²Southern Methodist University, Dallas, Texas 75275, USA
⁶³Stanford University, Stanford, California 94305-4060, USA
⁶⁴State University of New York, Albany, New York 12222, USA
⁶⁵Tel Aviv University, School of Physics and Astronomy, Tel Aviv 69978, Israel
⁶⁶University of Tennessee, Knoxville, Tennessee 37996, USA
⁶⁷University of Texas at Austin, Austin, Texas 78712, USA
⁶⁸University of Texas at Dallas, Richardson, Texas 75083, USA
^69aINFN Sezione di Torino, I-10125 Torino, Italy
^69bDipartimento di Fisica, Università di Torino, I-10125 Torino, Italy
^70aINFN Sezione di Trieste, I-34127 Trieste, Italy
^70bDipartimento di Fisica, Università di Trieste, I-34127 Trieste, Italy
⁷¹IFIC, Universitat de Valencia-CSIC, E-46071 Valencia, Spain
⁷²University of Victoria, Victoria, British Columbia, Canada V8W 3P6
⁷³Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
⁷⁴University of Wisconsin, Madison, Wisconsin 53706, USA

^*Deceased.
^†Present address: the University of Tabuk, Tabuk 71491, Saudi Arabia.
^‡Also at Università di Perugia, Dipartimento di Fisica, Perugia, Italy.
^§Present address: Laboratoire de Physique Nucléaire et de Hautes Energies, IN2P3/CNRS, Paris, France.
^¶Present address: the University of Huddersfield, Huddersfield HD1 3DH, United Kingdom.
^**Present address: University of South Alabama, Mobile, Alabama 36688, USA
^††Also at Università di Sassari, Sassari, Italy
^‡‡Also with INFN Sezione di Roma, Roma, Italy
^§§Present address: Universidad Técnica Federico Santa Maria, Valparaiso, Chile 2390123

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Phys. Rev. D 89, 112004 – Published 16 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.112004

Abstract

We study the processes $γ γ \to K^{+} K^{-} η$ and $γ γ \to K^{+} K^{-} π^{0}$ using a data sample of $519 {fb}^{- 1}$ recorded with the BABAR detector operating at the SLAC PEP-II asymmetric-energy $e^{+} e^{-}$ collider at center-of-mass energies at and near the $ϒ (n S)$ ( $n = 2, 3, 4$ ) resonances. We observe $η_{c} \to K^{+} K^{-} π^{0}$ and $η_{c} \to K^{+} K^{-} η$ decays, measure their relative branching fraction, and perform a Dalitz plot analysis for each decay. We observe the $K_{0}^{*} (1430) \to K η$ decay and measure its branching fraction relative to the $K π$ decay mode to be $R (K_{0}^{*} (1430)) = \frac{B (K_{0}^{*} (1430) \to K η)}{B (K_{0}^{*} (1430) \to K π)} = 0.092 \pm 0.02 5_{- 0.025}^{+ 0.010}$ . The $η_{c} \to K^{+} K^{-} η$ and $K_{0}^{*} (1430) \to K η$ results correspond to the first observations of these channels. The data also show evidence for $η_{c} (2 S) \to K^{+} K^{-} π^{0}$ and first evidence for $η_{c} (2 S) \to K^{+} K^{-} η$ .

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Dalitz plot analysis of $η_{c} \to K^{+} K^{-} η$ and $η_{c} \to K^{+} K^{-} π^{0}$ in two-photon interactions

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Dalitz plot analysis of ηc→K+K−η and ηc→K+K−π0 in two-photon interactions

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Dalitz plot analysis of $η_{c} \to K^{+} K^{-} η$ and $η_{c} \to K^{+} K^{-} π^{0}$ in two-photon interactions