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Study of $π^{0}$ pair production in single-tag two-photon collisions

M. Masuda⁶⁸, S. Uehara^15,11, Y. Watanabe²⁶, H. Nakazawa⁴⁶, A. Abdesselam⁶², I. Adachi^15,11, H. Aihara⁶⁹, S. Al Said^62,30, D. M. Asner⁵⁴ et al. (The Belle Collaboration)

D. M. Asner⁵⁴, H. Atmacan⁴⁰, V. Aulchenko^4,52, T. Aushev⁴², V. Babu⁶³, I. Badhrees^62,29, A. M. Bakich⁶¹, E. Barberio³⁹, P. Behera¹⁹, B. Bhuyan¹⁸, J. Biswal²⁵, A. Bobrov^4,52, G. Bonvicini⁷⁵, A. Bozek⁴⁹, M. Bračko^37,25, T. E. Browder¹⁴, D. Červenkov⁵, V. Chekelian³⁸, A. Chen⁴⁶, B. G. Cheon¹³, K. Chilikin⁴¹, R. Chistov⁴¹, K. Cho³¹, V. Chobanova³⁸, S.-K. Choi¹², Y. Choi⁶⁰, D. Cinabro⁷⁵, J. Dalseno^38,64, M. Danilov⁴¹, N. Dash¹⁷, J. Dingfelder³, Z. Doležal⁵, Z. Drásal⁵, D. Dutta⁶³, S. Eidelman^4,52, D. Epifanov⁶⁹, H. Farhat⁷⁵, J. E. Fast⁵⁴, T. Ferber⁸, B. G. Fulsom⁵⁴, V. Gaur⁶³, N. Gabyshev^4,52, A. Garmash^4,52, R. Gillard⁷⁵, F. Giordano⁷⁸, R. Glattauer²², Y. M. Goh¹³, P. Goldenzweig²⁷, B. Golob^35,25, J. Haba^15,11, K. Hayasaka⁴⁴, H. Hayashii⁴⁵, X. H. He⁵⁵, W.-S. Hou⁴⁸, T. Iijima^44,43, K. Inami⁴³, A. Ishikawa⁶⁷, R. Itoh^15,11, Y. Iwasaki¹⁵, I. Jaegle¹⁴, D. Joffe²⁸, K. K. Joo⁶, T. Julius³⁹, K. H. Kang³³, E. Kato⁶⁷, T. Kawasaki⁵¹, D. Y. Kim⁵⁹, J. B. Kim³², J. H. Kim³¹, K. T. Kim³², M. J. Kim³³, S. H. Kim¹³, Y. J. Kim³¹, B. R. Ko³², S. Korpar^37,25, P. Križan^35,25, P. Krokovny^4,52, T. Kumita⁷¹, A. Kuzmin^4,52, Y.-J. Kwon⁷⁷, J. S. Lange⁹, D. H. Lee³², I. S. Lee¹³, C. Li³⁹, L. Li⁵⁷, Y. Li⁷⁴, J. Libby¹⁹, D. Liventsev^74,15, P. Lukin^4,52, D. Matvienko^4,52, K. Miyabayashi⁴⁵, H. Miyata⁵¹, R. Mizuk^41,42, G. B. Mohanty⁶³, S. Mohanty^63,73, A. Moll^38,64, H. K. Moon³², T. Mori⁴³, R. Mussa²⁴, E. Nakano⁵³, M. Nakao^15,11, T. Nanut²⁵, Z. Natkaniec⁴⁹, M. Nayak¹⁹, N. K. Nisar⁶³, S. Nishida^15,11, S. Ogawa⁶⁶, P. Pakhlov⁴¹, G. Pakhlova⁴², B. Pal⁷, C. W. Park⁶⁰, H. Park³³, T. K. Pedlar³⁶, R. Pestotnik²⁵, M. Petrič²⁵, L. E. Piilonen⁷⁴, J. Rauch⁶⁵, E. Ribežl²⁵, M. Ritter³⁸, A. Rostomyan⁸, S. Sandilya⁶³, L. Santelj¹⁵, T. Sanuki⁶⁷, Y. Sato⁴³, V. Savinov⁵⁶, O. Schneider³⁴, G. Schnell^1,16, C. Schwanda²², Y. Seino⁵¹, K. Senyo⁷⁶, O. Seon⁴³, M. E. Sevior³⁹, V. Shebalin^4,52, C. P. Shen², T.-A. Shibata⁷⁰, J.-G. Shiu⁴⁸, B. Shwartz^4,52, F. Simon^38,64, Y.-S. Sohn⁷⁷, A. Sokolov²³, E. Solovieva⁴², M. Starič²⁵, M. Sumihama¹⁰, T. Sumiyoshi⁷¹, U. Tamponi^24,72, K. Tanida⁵⁸, Y. Teramoto⁵³, T. Uglov⁴², Y. Unno¹³, S. Uno^15,11, C. Van Hulse¹, P. Vanhoefer³⁸, G. Varner¹⁴, A. Vinokurova^4,52, V. Vorobyev^4,52, A. Vossen²⁰, M. N. Wagner⁹, C. H. Wang⁴⁷, M.-Z. Wang⁴⁸, P. Wang²¹, K. M. Williams⁷⁴, E. Won³², J. Yamaoka⁵⁴, Y. Yamashita⁵⁰, S. Yashchenko⁸, H. Ye⁸, Y. Yusa⁵¹, C. C. Zhang²¹, Z. P. Zhang⁵⁷, V. Zhilich^4,52, V. Zhulanov^4,52, and A. Zupanc²⁵ (The Belle Collaboration)

¹University of the Basque Country UPV/EHU, 48080 Bilbao
²Beihang University, Beijing 100191
³University of Bonn, 53115 Bonn
⁴Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090
⁵Faculty of Mathematics and Physics, Charles University, 121 16 Prague
⁶Chonnam National University, Kwangju 660-701
⁷University of Cincinnati, Cincinnati, Ohio 45221
⁸Deutsches Elektronen–Synchrotron, 22607 Hamburg
⁹Justus-Liebig-Universität Gießen, 35392 Gießen
¹⁰Gifu University, Gifu 501-1193
¹¹SOKENDAI (The Graduate University for Advanced Studies), Hayama 240-0193
¹²Gyeongsang National University, Chinju 660-701
¹³Hanyang University, Seoul 133-791
¹⁴University of Hawaii, Honolulu, Hawaii 96822
¹⁵High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801
¹⁶IKERBASQUE, Basque Foundation for Science, 48013 Bilbao
¹⁷Indian Institute of Technology Bhubaneswar, Satya Nagar 751007
¹⁸Indian Institute of Technology Guwahati, Assam 781039
¹⁹Indian Institute of Technology Madras, Chennai 600036
²⁰Indiana University, Bloomington, Indiana 47408
²¹Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
²²Institute of High Energy Physics, Vienna 1050
²³Institute for High Energy Physics, Protvino 142281
²⁴INFN - Sezione di Torino, 10125 Torino
²⁵J. Stefan Institute, 1000 Ljubljana
²⁶Kanagawa University, Yokohama 221-8686
²⁷Institut für Experimentelle Kernphysik, Karlsruher Institut für Technologie, 76131 Karlsruhe
²⁸Kennesaw State University, Kennesaw, Georgia 30144
²⁹King Abdulaziz City for Science and Technology, Riyadh 11442
³⁰Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah 21589
³¹Korea Institute of Science and Technology Information, Daejeon 305-806
³²Korea University, Seoul 136-713
³³Kyungpook National University, Daegu 702-701
³⁴École Polytechnique Fédérale de Lausanne (EPFL), Lausanne 1015
³⁵Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana
³⁶Luther College, Decorah, Iowa 52101
³⁷University of Maribor, 2000 Maribor
³⁸Max-Planck-Institut für Physik, 80805 München
³⁹School of Physics, University of Melbourne, Victoria 3010
⁴⁰Middle East Technical University, 06531 Ankara
⁴¹Moscow Physical Engineering Institute, Moscow 115409
⁴²Moscow Institute of Physics and Technology, Moscow Region 141700
⁴³Graduate School of Science, Nagoya University, Nagoya 464-8602
⁴⁴Kobayashi-Maskawa Institute, Nagoya University, Nagoya 464-8602
⁴⁵Nara Women’s University, Nara 630-8506
⁴⁶National Central University, Chung-li 32054
⁴⁷National United University, Miao Li 36003
⁴⁸Department of Physics, National Taiwan University, Taipei 10617
⁴⁹H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342
⁵⁰Nippon Dental University, Niigata 951-8580
⁵¹Niigata University, Niigata 950-2181
⁵²Novosibirsk State University, Novosibirsk 630090
⁵³Osaka City University, Osaka 558-8585
⁵⁴Pacific Northwest National Laboratory, Richland, Washington 99352
⁵⁵Peking University, Beijing 100871
⁵⁶University of Pittsburgh, Pittsburgh, Pennsylvania 15260
⁵⁷University of Science and Technology of China, Hefei 230026
⁵⁸Seoul National University, Seoul 151-742
⁵⁹Soongsil University, Seoul 156-743
⁶⁰Sungkyunkwan University, Suwon 440-746
⁶¹School of Physics, University of Sydney, New South Wales 2006
⁶²Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71451
⁶³Tata Institute of Fundamental Research, Mumbai 400005
⁶⁴Excellence Cluster Universe, Technische Universität München, 85748 Garching
⁶⁵Department of Physics, Technische Universität München, 85748 Garching
⁶⁶Toho University, Funabashi 274-8510
⁶⁷Tohoku University, Sendai 980-8578
⁶⁸Earthquake Research Institute, University of Tokyo, Tokyo 113-0032
⁶⁹Department of Physics, University of Tokyo, Tokyo 113-0033
⁷⁰Tokyo Institute of Technology, Tokyo 152-8550
⁷¹Tokyo Metropolitan University, Tokyo 192-0397
⁷²University of Torino, 10124 Torino
⁷³Utkal University, Bhubaneswar 751004
⁷⁴CNP, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
⁷⁵Wayne State University, Detroit, Michigan 48202
⁷⁶Yamagata University, Yamagata 990-8560
⁷⁷Yonsei University, Seoul 120-749
⁷⁸University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

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Phys. Rev. D 93, 032003 – Published 18 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.032003

Abstract

We report a measurement of the differential cross section of $π^{0}$ pair production in single-tag two-photon collisions, $γ^{*} γ \to π^{0} π^{0}$ , in $e^{+} e^{-}$ scattering. The cross section is measured for $Q^{2}$ up to $30 {GeV}^{2}$ , where $Q^{2}$ is the negative of the invariant mass squared of the tagged photon, in the kinematic range $0.5 GeV < W < 2.1 GeV$ and $| \cos θ^{*} | < 1.0$ for the total energy and pion scattering angle, respectively, in the $γ^{*} γ$ center-of-mass system. The results are based on a data sample of $759 {fb}^{- 1}$ collected with the Belle detector at the KEKB asymmetric-energy $e^{+} e^{-}$ collider. The transition form factor of the $f_{0} (980)$ and that of the $f_{2} (1270)$ with the helicity-0, -1, and -2 components separately are measured for the first time and are compared with theoretical calculations.

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M. Diehl, T. Gousset, B. Pire, and O. Teryaev, Phys. Rev. Lett. 81, 1782 (1998); M. Diehl, T. Gousset, and B. Pire, Phys. Rev. D 62, 073014 (2000).
V. M. Braun and N. Kivel, Phys. Lett. B 501, 48 (2001).
G. Colangelo, M. Hoferichter, M. Procura, and P. Stoffer, J. High Energy Phys. 09 (2014) 091; G. Colangelo, M. Hoferichter, B. Kubis, M. Procura, and P. Stoffer, Phys. Lett. B 738, 6 (2014).
G. A. Schuler, F. A. Berends, and R. van Gulik, Nucl. Phys. B523, 423 (1998).
V. Pascalutsa, V. Pauk, and M. Vanderhaeghen, Phys. Rev. D 85, 116001 (2012).
J. Gronberg et al. (CLEO Collaboration), Phys. Rev. D 57, 33 (1998).
P. Achard et al. (L3 Collaboration), Phys. Lett. B 526, 269 (2002).
P. Achard et al. (L3 Collaboration), J. High Energy Phys. 03 (2007) 018.
B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 80, 052002 (2009).
S. Uehara et al. (Belle Collaboration), Phys. Rev. D 86, 092007 (2012).
P. del Amo Sanchez et al. (BABAR Collaboration), Phys. Rev. D 84, 052001 (2011).
J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 81, 052010 (2010).
H. Aihara et al. (TPC/Two-Gamma Collaboration), Phys. Rev. Lett. 57, 404 (1986).
I. F. Ginzburg, A. Schiller, and V. G. Serbo, Eur. Phys. J. C 18, 731 (2001); V. G. Serbo (private communication).
A. Abashian et al. (Belle Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A 479, 117 (2002).
J. Brodzicka et al. (Belle Collaboration), Prog. Theor. Exp. Phys. 2012, 04D001 (2012).
S. Kurokawa and E. Kikutani, Nucl. Instrum. Methods Phys. Res., Sect. A 499, 1 (2003), and other papers included in this volume; T. Abe et al., Prog. Theor. Exp. Phys. 2013, 03A003 (2013).
B. G. Cheon et al., Nucl. Instrum. Methods Phys. Res., Sect. A 494, 548 (2002).
Ch. Berger and W. Wagner, Phys. Rep. 146, 1 (1987).
S. Uehara, arXiv:1310.0157.
G. A. Schuler, arXiv:hep-ph/9610406.
E. Etim, G. Pancheri, and B. Touschek, Nuovo Cimento B 51, 276 (1967).
V. P. Druzhinin, L. V. Kardapoltsev, and V. A. Tayursky, Comput. Phys. Commun. 185, 236 (2014); S. Ong and P. Kessler, Phys. Rev. D 38, 2280 (1988); M. Benayoun, S. I. Eidelman, V. N. Ivanchenko, and Z. K. Silagadze, Mod. Phys. Lett. A 14, 2605 (1999); F. Jegerlehner, J. Phys. G 29, 101 (2003); F. A. Berends, P. H. Daverveldt, and R. Kleiss, Nucl. Phys. B253, 421 (1985).
R. Brun et al., Report No. CERN DD/EE/84-1, 1987.
T. Skwarnicki, Cracow Institute of Nuclear Physics Ph.D. thesis, 1986 [DESY F31-86-02, Appendix E].
M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 413, 147 (1997).
D. Antreasyan et al. (Crystal Ball Collaboration), Z. Phys. C 48, 561 (1990).
S. Uehara et al. (Belle Collaboration), Phys. Rev. D 78, 052004 (2008).
S. Uehara et al. (Belle Collaboration), Phys. Rev. D 79, 052009 (2009).
We denote individual partial waves by roman letters and parametrized waves by italic.
T. Mori et al. (Belle Collaboration), Phys. Rev. D 75, 051101(R) (2007).
T. Mori et al. (Belle Collaboration), J. Phys. Soc. Jpn. 76, 074102 (2007).
S. M. Flatté, Phys. Lett. B 63, 224 (1976); N. N. Achasov and G. N. Shestakov, Phys. Rev. D 72, 013006 (2005).
J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012).
M. Ablikim et al. (BES Collaboration), Phys. Lett. B 607, 243 (2005).
J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Wiley, New York, 1952), pp. 359–365 and 386–389.
G. Grayer et al., Nucl. Phys. B75, 189 (1974); A. Garmash et al. (Belle Collaboration), Phys. Rev. D 71, 092003 (2005); B. Aubert et al. (BABAR Collaboration), 72, 052002 (2005).
See the review by S. Baker and R. D. Cousins, Nucl. Instrum. Methods Phys. Res. 221, 437 (1984).
F. James and M. Roos, Comput. Phys. Commun. 10, 343 (1975).

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Study of $π^{0}$ pair production in single-tag two-photon collisions

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Study of π0 pair production in single-tag two-photon collisions

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Physics Subject Headings (PhySH)

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References (39)

Study of $π^{0}$ pair production in single-tag two-photon collisions