Letter
Open Access

First determination of the spin and parity of the charmed-strange baryon $Ξ_{c} (2970)^{+}$

T. J. Moon⁷⁴, K. Tanida ³⁵, Y. Kato⁵⁵, S. K. Kim⁷⁴, I. Adachi^19,15, J. K. Ahn⁴¹, H. Aihara⁸⁶, S. Al Said^80,38, D. M. Asner³ et al. (Belle Collaboration)

D. M. Asner³, V. Aulchenko^4,64, T. Aushev²¹, R. Ayad⁸⁰, V. Babu⁸, S. Bahinipati²⁵, P. Behera²⁸, C. Beleño¹⁴, J. Bennett⁵², M. Bessner¹⁸, B. Bhuyan²⁶, T. Bilka⁵, J. Biswal³⁶, G. Bonvicini⁹¹, A. Bozek⁶¹, M. Bračko^49,36, T. E. Browder¹⁸, M. Campajola^33,56, L. Cao², D. Červenkov⁵, M.-C. Chang¹¹, P. Chang⁶⁰, A. Chen⁵⁸, B. G. Cheon¹⁷, K. Chilikin⁴⁵, K. Cho⁴⁰, S.-K. Choi¹⁶, Y. Choi⁷⁸, S. Choudhury²⁷, D. Cinabro⁹¹, S. Cunliffe⁸, N. Dash²⁸, G. De Nardo^33,56, F. Di Capua^33,56, Z. Doležal⁵, T. V. Dong¹², D. Dossett⁵¹, S. Dubey¹⁸, S. Eidelman^4,64,45, D. Epifanov^4,64, T. Ferber⁸, B. G. Fulsom⁶⁶, R. Garg⁶⁷, V. Gaur⁹⁰, N. Gabyshev^4,64, A. Garmash^4,64, A. Giri²⁷, P. Goldenzweig³⁷, B. Golob^46,36, C. Hadjivasiliou⁶⁶, O. Hartbrich¹⁸, K. Hayasaka⁶³, H. Hayashii⁵⁷, M. T. Hedges¹⁸, W.-S. Hou⁶⁰, C.-L. Hsu⁷⁹, K. Inami⁵⁵, G. Inguglia³¹, A. Ishikawa^19,15, R. Itoh^19,15, M. Iwasaki⁶⁵, Y. Iwasaki¹⁹, W. W. Jacobs²⁹, S. Jia¹², Y. Jin⁸⁶, K. K. Joo⁶, K. H. Kang⁴³, G. Karyan⁸, T. Kawasaki³⁹, H. Kichimi¹⁹, C. Kiesling⁵⁰, B. H. Kim⁷⁴, D. Y. Kim⁷⁷, K. T. Kim⁴¹, S. H. Kim⁷⁴, Y. J. Kim⁴¹, Y.-K. Kim⁹³, T. D. Kimmel⁹⁰, K. Kinoshita⁷, P. Kodyš⁵, S. Korpar^49,36, D. Kotchetkov¹⁸, P. Križan^46,36, R. Kroeger⁵², P. Krokovny^4,64, T. Kuhr⁴⁷, R. Kumar⁷⁰, K. Kumara⁹¹, A. Kuzmin^4,64, Y.-J. Kwon⁹³, I. S. Lee¹⁷, J. Y. Lee⁷⁴, S. C. Lee⁴³, L. K. Li⁷, Y. B. Li⁶⁸, L. Li Gioi⁵⁰, J. Libby²⁸, Z. Liptak^18,*, D. Liventsev^91,19, T. Luo¹², C. MacQueen⁵¹, M. Masuda^85,71, T. Matsuda⁵³, D. Matvienko^4,64,45, M. Merola^33,56, K. Miyabayashi⁵⁷, H. Miyata⁶³, R. Mizuk^45,21, G. B. Mohanty⁸¹, S. Mohanty^81,89, T. Mori⁵⁵, R. Mussa³⁴, T. Nakano⁷¹, M. Nakao^19,15, Z. Natkaniec⁶¹, A. Natochii¹⁸, M. Nayak⁸³, M. Niiyama⁴², N. K. Nisar³, S. Nishida^19,15, K. Ogawa⁶³, S. Ogawa⁸⁴, H. Ono^62,63, P. Pakhlov^45,54, G. Pakhlova^21,45, S. Pardi³³, H. Park⁴³, S.-H. Park⁹³, S. Patra²⁴, S. Paul^82,50, T. K. Pedlar⁴⁸, R. Pestotnik³⁶, L. E. Piilonen⁹⁰, T. Podobnik^46,36, V. Popov²¹, E. Prencipe²², M. T. Prim³⁷, M. Ritter⁴⁷, N. Rout²⁸, G. Russo⁵⁶, D. Sahoo⁸¹, Y. Sakai^19,15, S. Sandilya⁷, A. Sangal⁷, L. Santelj^46,36, V. Savinov⁶⁹, G. Schnell^1,23, J. Schueler¹⁸, C. Schwanda³¹, R. Seidl⁷², Y. Seino⁶³, K. Senyo⁹², M. E. Sevior⁵¹, M. Shapkin³², C. P. Shen¹², J.-G. Shiu⁶⁰, B. Shwartz^4,64, E. Solovieva⁴⁵, M. Starič³⁶, Z. S. Stottler⁹⁰, M. Sumihama¹³, K. Sumisawa^19,15, T. Sumiyoshi⁸⁸, W. Sutcliffe², M. Takizawa^75,20, U. Tamponi³⁴, F. Tenchini⁸, K. Trabelsi⁴⁴, M. Uchida⁸⁷, S. Uehara^19,15, T. Uglov^45,21, Y. Unno¹⁷, S. Uno^19,15, P. Urquijo⁵¹, S. E. Vahsen¹⁸, R. Van Tonder², G. Varner¹⁸, A. Vinokurova^4,64, V. Vorobyev^4,64,45, A. Vossen⁹, C. H. Wang⁵⁹, E. Wang⁶⁹, M.-Z. Wang⁶⁰, P. Wang³⁰, S. Wehle⁸, J. Wiechczynski⁶¹, X. Xu⁷⁶, B. D. Yabsley⁷⁹, S. B. Yang⁴¹, H. Ye⁸, J. Yelton¹⁰, J. H. Yin⁴¹, C. Z. Yuan³⁰, Z. P. Zhang⁷³, V. Zhilich^4,64, V. Zhukova⁴⁵, and V. Zhulanov^4,64 (Belle Collaboration)

¹University of the Basque Country UPV/EHU, 48080 Bilbao
²University of Bonn, 53115 Bonn
³Brookhaven National Laboratory, Upton, New York 11973
⁴Budker Institute of Nuclear Physics SB RAS, Novosibirsk 630090
⁵Faculty of Mathematics and Physics, Charles University, 121 16 Prague
⁶Chonnam National University, Gwangju 61186
⁷University of Cincinnati, Cincinnati, Ohio 45221
⁸Deutsches Elektronen-Synchrotron, 22607 Hamburg
⁹Duke University, Durham, North Carolina 27708
¹⁰University of Florida, Gainesville, Florida 32611
¹¹Department of Physics, Fu Jen Catholic University, Taipei 24205
¹²Key Laboratory of Nuclear Physics and Ion-beam Application (MOE) and Institute of Modern Physics, Fudan University, Shanghai 200443
¹³Gifu University, Gifu 501-1193
¹⁴II. Physikalisches Institut, Georg-August-Universität Göttingen, 37073 Göttingen
¹⁵SOKENDAI (The Graduate University for Advanced Studies), Hayama 240-0193
¹⁶Gyeongsang National University, Jinju 52828
¹⁷Department of Physics and Institute of Natural Sciences, Hanyang University, Seoul 04763
¹⁸University of Hawaii, Honolulu, Hawaii 96822
¹⁹High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801
²⁰J-PARC Branch, KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801
²¹Higher School of Economics (HSE), Moscow 101000
²²Forschungszentrum Jülich, 52425 Jülich
²³IKERBASQUE, Basque Foundation for Science, 48013 Bilbao
²⁴Indian Institute of Science Education and Research Mohali, SAS Nagar, 140306
²⁵Indian Institute of Technology Bhubaneswar, Satya Nagar 751007
²⁶Indian Institute of Technology Guwahati, Assam 781039
²⁷Indian Institute of Technology Hyderabad, Telangana 502285
²⁸Indian Institute of Technology Madras, Chennai 600036
²⁹Indiana University, Bloomington, Indiana 47408
³⁰Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
³¹Institute of High Energy Physics, Vienna 1050
³²Institute for High Energy Physics, Protvino 142281
³³INFN - Sezione di Napoli, 80126 Napoli
³⁴INFN - Sezione di Torino, 10125 Torino
³⁵Advanced Science Research Center, Japan Atomic Energy Agency, Naka 319-1195
³⁶J. Stefan Institute, 1000 Ljubljana
³⁷Institut für Experimentelle Teilchenphysik, Karlsruher Institut für Technologie, 76131 Karlsruhe
³⁸Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah 21589
³⁹Kitasato University, Sagamihara 252-0373
⁴⁰Korea Institute of Science and Technology Information, Daejeon 34141
⁴¹Korea University, Seoul 02841
⁴²Kyoto Sangyo University, Kyoto 603-8555
⁴³Kyungpook National University, Daegu 41566
⁴⁴Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay
⁴⁵P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991
⁴⁶Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana
⁴⁷Ludwig Maximilians University, 80539 Munich
⁴⁸Luther College, Decorah, Iowa 52101
⁴⁹University of Maribor, 2000 Maribor
⁵⁰Max-Planck-Institut für Physik, 80805 München
⁵¹School of Physics, University of Melbourne, Victoria 3010
⁵²University of Mississippi, University, Mississippi 38677
⁵³University of Miyazaki, Miyazaki 889-2192
⁵⁴Moscow Physical Engineering Institute, Moscow 115409
⁵⁵Graduate School of Science, Nagoya University, Nagoya 464-8602
⁵⁶Università di Napoli Federico II, 80126 Napoli
⁵⁷Nara Women’s University, Nara 630-8506
⁵⁸National Central University, Chung-li 32054
⁵⁹National United University, Miao Li 36003
⁶⁰Department of Physics, National Taiwan University, Taipei 10617
⁶¹H. Niewodniczanski Institute of Nuclear Physics, Krakow 31-342
⁶²Nippon Dental University, Niigata 951-8580
⁶³Niigata University, Niigata 950-2181
⁶⁴Novosibirsk State University, Novosibirsk 630090
⁶⁵Osaka City University, Osaka 558-8585
⁶⁶Pacific Northwest National Laboratory, Richland, Washington, D.C. 99352
⁶⁷Panjab University, Chandigarh 160014
⁶⁸Peking University, Beijing 100871
⁶⁹University of Pittsburgh, Pittsburgh, Pennsylvania 15260
⁷⁰Punjab Agricultural University, Ludhiana 141004
⁷¹Research Center for Nuclear Physics, Osaka University, Osaka 567-0047
⁷²RIKEN BNL Research Center, Upton, New York 11973
⁷³Department of Modern Physics and State Key Laboratory of Particle Detection and Electronics, University of Science and Technology of China, Hefei 230026
⁷⁴Seoul National University, Seoul 08826
⁷⁵Showa Pharmaceutical University, Tokyo 194-8543
⁷⁶Soochow University, Suzhou 215006
⁷⁷Soongsil University, Seoul 06978
⁷⁸Sungkyunkwan University, Suwon 16419
⁷⁹School of Physics, University of Sydney, New South Wales 2006
⁸⁰Department of Physics, Faculty of Science, University of Tabuk, Tabuk 71451
⁸¹Tata Institute of Fundamental Research, Mumbai 400005
⁸²Department of Physics, Technische Universität München, 85748 Garching
⁸³School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978
⁸⁴Toho University, Funabashi 274-8510
⁸⁵Earthquake Research Institute, University of Tokyo, Tokyo 113-0032
⁸⁶Department of Physics, University of Tokyo, Tokyo 113-0033
⁸⁷Tokyo Institute of Technology, Tokyo 152-8550
⁸⁸Tokyo Metropolitan University, Tokyo 192-0397
⁸⁹Utkal University, Bhubaneswar 751004
⁹⁰Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
⁹¹Wayne State University, Detroit, Michigan 48202
⁹²Yamagata University, Yamagata 990-8560
⁹³Yonsei University, Seoul 03722

^*Present address: Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8530.

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Phys. Rev. D 103, L111101 – Published 16 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L111101

Abstract

We report results from a study of the spin and parity of $Ξ_{c} (2970)^{+}$ using a $980 {fb}^{- 1}$ data sample collected by the Belle detector at the KEKB asymmetric-energy $e^{+} e^{-}$ collider. The decay angle distributions in the chain $Ξ_{c} (2970)^{+} \to Ξ_{c} (2645)^{0} π^{+} \to Ξ_{c}^{+} π^{-} π^{+}$ are analyzed to determine the spin of this charmed-strange baryon. The angular distributions strongly favor the $Ξ_{c} (2970)^{+}$ spin $J = 1 / 2$ over $3 / 2$ or $5 / 2$ , under an assumption that the lowest partial wave dominates in the decay. We also measure the ratio of $Ξ_{c} (2970)^{+}$ decay branching fractions $R = B [Ξ_{c} (2970)^{+} \to Ξ_{c} (2645)^{0} π^{+}] / B [Ξ_{c} (2970)^{+} \to Ξ_{c}^{' 0} π^{+}] = 1.67 \pm 0.29 {(stat)}_{- 0.09}^{+ 0.15} (syst) \pm 0.25 (IS)$ , where the last uncertainty is due to possible isospin-symmetry-breaking effects. This $R$ value favors the spin-parity $J^{P} = 1 / 2^{+}$ with the spin of the light-quark degrees of freedom $s_{l} = 0$ . This is the first determination of the spin and parity of a charmed-strange baryon.

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References (29)

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Phys. Rev. D 103, L111101– Published 16 June, 2021

Vol. 103, Iss. 11 — 1 June 2021

Received 2 August 2020
Accepted 12 May 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L111101

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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First determination of the spin and parity of the charmed-strange baryon $Ξ_{c} (2970)^{+}$

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First determination of the spin and parity of the charmed-strange baryon Ξc(2970)+

Abstract

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First determination of the spin and parity of the charmed-strange baryon $Ξ_{c} (2970)^{+}$