Study of the f0(980) and f0(500) Scalar Mesons through the Decay Ds+→π+π−e+νe

Ablikim, M.; Achasov, M. N.; Adlarson, P.; Aliberti, R.; Amoroso, A.; An, M. R.; An, Q.; Bai, Y.; Bakina, O.; Balossino, I.; Ban, Y.; Batozskaya, V.; Begzsuren, K.; Berger, N.; Berlowski, M.; Bertani, M.; Bettoni, D.; Bianchi, F.; Bianco, E.; Bloms, J.; Bortone, A.; Boyko, I.; Briere, R. A.; Brueggemann, A.; Cai, H.; Cai, X.; Calcaterra, A.; Cao, G. F.; Cao, N.; Cetin, S. A.; Chang, J. F.; Chang, T. T.; Chang, W. L.; Che, G. R.; Chelkov, G.; Chen, C.; Chen, Chao; Chen, G.; Chen, H. S.; Chen, M. L.; Chen, S. J.; Chen, S. M.; Chen, T.; Chen, X. R.; Chen, X. T.; Chen, Y. B.; Chen, Y. Q.; Chen, Z. J.; Cheng, W. S.; Choi, S. K.; Chu, X.; Cibinetto, G.; Coen, S. C.; Cossio, F.; Cui, J. J.; Dai, H. L.; Dai, J. P.; Dbeyssi, A.; de Boer, R. E.; Dedovich, D.; Deng, Z. Y.; Denig, A.; Denysenko, I.; Destefanis, M.; De Mori, F.; Ding, B.; Ding, X. X.; Ding, Y.; Ding, Y.; Dong, J.; Dong, L. Y.; Dong, M. Y.; Dong, X.; Du, S. X.; Duan, Z. H.; Egorov, P.; Fan, Y. L.; Fang, J.; Fang, S. S.; Fang, W. X.; Fang, Y.; Farinelli, R.; Fava, L.; Feldbauer, F.; Felici, G.; Feng, C. Q.; Feng, J. H.; Fischer, K.; Fritsch, M.; Fritzsch, C.; Fu, C. D.; Fu, J. L.; Fu, Y. W.; Gao, H.; Gao, Y. N.; Gao, Yang; Garbolino, S.; Garzia, I.; Ge, P. T.; Ge, Z. W.; Geng, C.; Gersabeck, E. M.; Gilman, A.; Goetzen, K.; Gong, L.; Gong, W. X.; Gradl, W.; Gramigna, S.; Greco, M.; Gu, M. H.; Gu, Y. T.; Guan, C. Y.; Guan, Z. L.; Guo, A. Q.; Guo, L. B.; Guo, R. P.; Guo, Y. P.; Guskov, A.; Hou, X. T.; Han, T. T.; Han, W. Y.; Hao, X. Q.; Harris, F. A.; He, K. K.; He, K. L.; Heinsius, F. H.; Heinz, C. H.; Heng, Y. K.; Herold, C.; Holtmann, T.; Hong, P. C.; Hou, G. Y.; Hou, Y. R.; Hou, Z. L.; Hu, H. M.; Hu, J. F.; Hu, T.; Hu, Y.; Huang, G. S.; Huang, K. X.; Huang, L. Q.; Huang, X. T.; Huang, Y. P.; Hussain, T.; Hüsken, N.; Imoehl, W.; Irshad, M.; Jackson, J.; Jaeger, S.; Janchiv, S.; Jeong, J. H.; Ji, Q.; Ji, Q. P.; Ji, X. B.; Ji, X. L.; Ji, Y. Y.; Jia, Z. K.; Jiang, P. C.; Jiang, S. S.; Jiang, T. J.; Jiang, X. S.; Jiang, Y.; Jiao, J. B.; Jiao, Z.; Jin, S.; Jin, Y.; Jing, M. Q.; Johansson, T.; Kui, X.; Kabana, S.; Kalantar-Nayestanaki, N.; Kang, X. L.; Kang, X. S.; Kappert, R.; Kavatsyuk, M.; Ke, B. C.; Khoukaz, A.; Kiuchi, R.; Kliemt, R.; Koch, L.; Kolcu, O. B.; Kopf, B.; Kuessner, M. K.; Kupsc, A.; Kühn, W.; Lane, J. J.; Lange, J. S.; Larin, P.; Lavania, A.; Lavezzi, L.; Lei, T. T.; Lei, Z. H.; Leithoff, H.; Lellmann, M.; Lenz, T.; Li, C.; Li, C.; Li, C. H.; Li, Cheng; Li, D. M.; Li, F.; Li, G.; Li, H.; Li, H. B.; Li, H. J.; Li, H. N.; Li, Hui; Li, J. R.; Li, J. S.; Li, J. W.; Li, Ke; Li, L. J.; Li, L. K.; Li, Lei; Li, M. H.; Li, P. R.; Li, S. X.; Li, T.; Li, W. D.; Li, W. G.; Li, X. H.; Li, X. L.; Li, Xiaoyu; Li, Y. G.; Li, Z. J.; Li, Z. X.; Li, Z. Y.; Liang, C.; Liang, H.; Liang, H.; Liang, H.; Liang, Y. F.; Liang, Y. T.; Liao, G. R.; Liao, L. Z.; Libby, J.; Limphirat, A.; Lin, D. X.; Lin, T.; Liu, B. J.; Liu, B. X.; Liu, C.; Liu, C. X.; Liu, D.; Liu, F. H.; Liu, Fang; Liu, Feng; Liu, G. M.; Liu, H.; Liu, H. B.; Liu, H. M.; Liu, Huanhuan; Liu, Huihui; Liu, J. B.; Liu, J. L.; Liu, J. Y.; Liu, K.; Liu, K. Y.; Liu, Ke; Liu, L.; Liu, L. C.; Liu, Lu; Liu, M. H.; Liu, P. L.; Liu, Q.; Liu, S. B.; Liu, T.; Liu, W. K.; Liu, W. M.; Liu, X.; Liu, Y.; Liu, Y. B.; Liu, Z. A.; Liu, Z. Q.; Lou, X. C.; Lu, F. X.; Lu, H. J.; Lu, J. G.; Lu, X. L.; Lu, Y.; Lu, Y. P.; Lu, Z. H.; Luo, C. L.; Luo, M. X.; Luo, T.; Luo, X. L.; Lyu, X. R.; Lyu, Y. F.; Ma, F. C.; Ma, H. L.; Ma, J. L.; Ma, L. L.; Ma, M. M.; Ma, Q. M.; Ma, R. Q.; Ma, R. T.; Ma, X. Y.; Ma, Y.; Ma, Y. M.; Maas, F. E.; Maggiora, M.; Maldaner, S.; Malde, S.; Mangoni, A.; Mao, Y. J.; Mao, Z. P.; Marcello, S.; Meng, Z. X.; Messchendorp, J. G.; Mezzadri, G.; Miao, H.; Min, T. J.; Mitchell, R. E.; Mo, X. H.; Muchnoi, N. Yu.; Nefedov, Y.; Nerling, F.; Nikolaev, I. B.; Ning, Z.; Nisar, S.; Niu, Y.; Olsen, S. L.; Ouyang, Q.; Pacetti, S.; Pan, X.; Pan, Y.; Pathak, A.; Patteri, P.; Pei, Y. P.; Pelizaeus, M.; Peng, H. P.; Peters, K.; Ping, J. L.; Ping, R. G.; Plura, S.; Pogodin, S.; Prasad, V.; Qi, F. Z.; Qi, H.; Qi, H. R.; Qi, M.; Qi, T. Y.; Qian, S.; Qian, W. B.; Qiao, C. F.; Qin, J. J.; Qin, L. Q.; Qin, X. P.; Qin, X. S.; Qin, Z. H.; Qiu, J. F.; Qu, S. Q.; Redmer, C. F.; Ren, K. J.; Rivetti, A.; Rodin, V.; Rolo, M.; Rong, G.; Rosner, Ch.; Ruan, S. N.; Salone, N.; Sarantsev, A.; Schelhaas, Y.; Schoenning, K.; Scodeggio, M.; Shan, K. Y.; Shan, W.; Shan, X. Y.; Shangguan, J. F.; Shao, L. G.; Shao, M.; Shen, C. P.; Shen, H. F.; Shen, W. H.; Shen, X. Y.; Shi, B. A.; Shi, H. C.; Shi, J. L.; Shi, J. Y.; Shi, Q. Q.; Shi, R. S.; Shi, X.; Song, J. J.; Song, T. Z.; Song, W. M.; Song, Y. J.; Song, Y. X.; Sosio, S.; Spataro, S.; Stieler, F.; Su, Y. J.; Sun, G. B.; Sun, G. X.; Sun, H.; Sun, H. K.; Sun, J. F.; Sun, K.; Sun, L.; Sun, S. S.; Sun, T.; Sun, W. Y.; Sun, Y.; Sun, Y. J.; Sun, Y. Z.; Sun, Z. T.; Tan, Y. X.; Tang, C. J.; Tang, G. Y.; Tang, J.; Tang, Y. A.; Tao, L. Y.; Tao, Q. T.; Tat, M.; Teng, J. X.; Thoren, V.; Tian, W. H.; Tian, W. H.; Tian, Y.; Tian, Z. F.; Uman, I.; Wang, B.; Wang, B. L.; Wang, Bo; Wang, C. W.; Wang, D. Y.; Wang, F.; Wang, H. J.; Wang, H. P.; Wang, K.; Wang, L. L.; Wang, M.; Wang, Meng; Wang, S.; Wang, S.; Wang, T.; Wang, T. J.; Wang, W.; Wang, W.; Wang, W. H.; Wang, W. P.; Wang, X.; Wang, X. F.; Wang, X. J.; Wang, X. L.; Wang, Y.; Wang, Y. D.; Wang, Y. F.; Wang, Y. H.; Wang, Y. N.; Wang, Y. Q.; Wang, Yaqian; Wang, Yi; Wang, Z.; Wang, Z. L.; Wang, Z. Y.; Wang, Ziyi; Wei, D.; Wei, D. H.; Weidner, F.; Wen, S. P.; Wenzel, C. W.; Wiedner, U. W.; Wilkinson, G.; Wolke, M.; Wollenberg, L.; Wu, C.; Wu, J. F.; Wu, L. H.; Wu, L. J.; Wu, X.; Wu, X. H.; Wu, Y.; Wu, Y. J.; Wu, Z.; Xia, L.; Xian, X. M.; Xiang, T.; Xiao, D.; Xiao, G. Y.; Xiao, H.; Xiao, S. Y.; Xiao, Y. L.; Xiao, Z. J.; Xie, C.; Xie, X. H.; Xie, Y.; Xie, Y. G.; Xie, Y. H.; Xie, Z. P.; Xing, T. Y.; Xu, C. F.; Xu, C. J.; Xu, G. F.; Xu, H. Y.; Xu, Q. J.; Xu, Q. N.; Xu, W.; Xu, W. L.; Xu, X. P.; Xu, Y. C.; Xu, Z. P.; Xu, Z. S.; Yan, F.; Yan, L.; Yan, W. B.; Yan, W. C.; Yan, X. Q.; 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doi:10.1103/PhysRevLett.132.141901
Study of the $f_{0} (980)$ and $f_{0} (500)$ Scalar Mesons through the Decay $D_{s}^{+} \to π^{+} π^{-} e^{+} ν_{e}$

M. Ablikim (Institute of High Energy Physics, Beijing 100049, People’s Republic of China) ; M. N. Achasov (G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia) ; P. Adlarson (Uppsala University, Box 516, SE-75120 Uppsala, Sweden) ; R. Aliberti (Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany) ; A. Amoroso (University of Turin and INFN, University of Turin, I-10125, Turin, Italy; INFN, I-10125, Turin, Italy) ; et al. - Show all 618 authors
Using $e^{+} e^{-}$ collision data corresponding to an integrated luminosity of $7.33 {fb}^{- 1}$ recorded by the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, we present an analysis of the decay $D_{s}^{+} \to π^{+} π^{-} e^{+} ν_{e}$ , where the $D_{s}^{+}$ is produced via the process $e^{+} e^{-} \to D_{s}^{* \pm} D_{s}^{\mp}$ . We observe the $f_{0} (980)$ in the $π^{+} π^{-}$ system and the branching fraction of the decay $D_{s}^{+} \to f_{0} (980) e^{+} ν_{e}$ with $f_{0} (980) \to π^{+} π^{-}$ measured to be $(1.72 \pm 0.1 3_{stat} \pm 0.1 0_{syst}) \times 10^{- 3}$ , where the uncertainties are statistical and systematic, respectively. The dynamics of the $D_{s}^{+} \to f_{0} (980) e^{+} ν_{e}$ decay are studied with the simple pole parametrization of the hadronic form factor and the Flatté formula describing the $f_{0} (980)$ in the differential decay rate, and the product of the form factor $f_{+}^{f_{0}} (0)$ and the $c \to s$ Cabibbo-Kobayashi-Maskawa matrix element $| V_{c s} |$ is determined for the first time to be $f_{+}^{f_{0}} (0) | V_{c s} | = 0.504 \pm 0.01 7_{stat} \pm 0.03 5_{syst}$ . Furthermore, the decay $D_{s}^{+} \to f_{0} (500) e^{+} ν_{e}$ is searched for the first time but no signal is found. The upper limit on the branching fraction of $D_{s}^{+} \to f_{0} (500) e^{+} ν_{e}$ , $f_{0} (500) \to π^{+} π^{-}$ decay is set to be $3.3 \times 10^{- 4}$ at 90% confidence level.
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      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-ex"
      ], 
      "value": "2303.12927"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "Using <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>\u2212</mo></msup></math> collision data corresponding to an integrated luminosity of <math><mrow><mn>7.33</mn><mtext> </mtext><mtext> </mtext><msup><mrow><mi>fb</mi></mrow><mrow><mo>\u2212</mo><mn>1</mn></mrow></msup></mrow></math> recorded by the BESIII detector at center-of-mass energies between 4.128 and 4.226 GeV, we present an analysis of the decay <math><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>\u2192</mo><msup><mrow><mi>\u03c0</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u03c0</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>\u03bd</mi></mrow><mrow><mi>e</mi></mrow></msub></mrow></math>, where the <math><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup></math> is produced via the process <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>*</mo><mo>\u00b1</mo></mrow></msubsup><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>\u2213</mo></mrow></msubsup></mrow></math>. We observe the <math><msub><mi>f</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo></math> in the <math><msup><mi>\u03c0</mi><mo>+</mo></msup><msup><mi>\u03c0</mi><mo>\u2212</mo></msup></math> system and the branching fraction of the decay <math><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>\u2192</mo><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>980</mn><mo>)</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>\u03bd</mi></mrow><mrow><mi>e</mi></mrow></msub></mrow></math> with <math><msub><mi>f</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo><mo>\u2192</mo><msup><mi>\u03c0</mi><mo>+</mo></msup><msup><mi>\u03c0</mi><mo>\u2212</mo></msup></math> measured to be <math><mrow><mo>(</mo><mn>1.72</mn><mo>\u00b1</mo><mn>0.1</mn><msub><mrow><mn>3</mn></mrow><mrow><mi>stat</mi></mrow></msub><mo>\u00b1</mo><mn>0.1</mn><msub><mrow><mn>0</mn></mrow><mrow><mi>syst</mi></mrow></msub><mo>)</mo><mo>\u00d7</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>\u2212</mo><mn>3</mn></mrow></msup></mrow></math>, where the uncertainties are statistical and systematic, respectively. The dynamics of the <math><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>\u2192</mo><msub><mi>f</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub></math> decay are studied with the simple pole parametrization of the hadronic form factor and the Flatt\u00e9 formula describing the <math><msub><mi>f</mi><mn>0</mn></msub><mo>(</mo><mn>980</mn><mo>)</mo></math> in the differential decay rate, and the product of the form factor <math><msubsup><mi>f</mi><mo>+</mo><msub><mi>f</mi><mn>0</mn></msub></msubsup><mo>(</mo><mn>0</mn><mo>)</mo></math> and the <math><mi>c</mi><mo>\u2192</mo><mi>s</mi></math> Cabibbo-Kobayashi-Maskawa matrix element <math><mo>|</mo><msub><mi>V</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo>|</mo></math> is determined for the first time to be <math><mrow><msubsup><mrow><mi>f</mi></mrow><mrow><mo>+</mo></mrow><mrow><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msubsup><mo>(</mo><mn>0</mn><mo>)</mo><mo>|</mo><msub><mrow><mi>V</mi></mrow><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo>|</mo><mo>=</mo><mn>0.504</mn><mo>\u00b1</mo><mn>0.01</mn><msub><mrow><mn>7</mn></mrow><mrow><mi>stat</mi></mrow></msub><mo>\u00b1</mo><mn>0.03</mn><msub><mrow><mn>5</mn></mrow><mrow><mi>syst</mi></mrow></msub></mrow></math>. Furthermore, the decay <math><msubsup><mi>D</mi><mi>s</mi><mo>+</mo></msubsup><mo>\u2192</mo><msub><mi>f</mi><mn>0</mn></msub><mo>(</mo><mn>500</mn><mo>)</mo><msup><mi>e</mi><mo>+</mo></msup><msub><mi>\u03bd</mi><mi>e</mi></msub></math> is searched for the first time but no signal is found. The upper limit on the branching fraction of <math><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo>\u2192</mo><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>500</mn><mo>)</mo><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msub><mrow><mi>\u03bd</mi></mrow><mrow><mi>e</mi></mrow></msub></mrow></math>, <math><mrow><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>500</mn><mo>)</mo><mo>\u2192</mo><msup><mrow><mi>\u03c0</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>\u03c0</mi></mrow><mrow><mo>\u2212</mo></mrow></msup></mrow></math> decay is set to be <math><mn>3.3</mn><mo>\u00d7</mo><msup><mn>10</mn><mrow><mo>\u2212</mo><mn>4</mn></mrow></msup></math> at 90% confidence level."
    }
  ], 
  "imprints": [
    {
      "date": "2024-04-05", 
      "publisher": "APS"
    }
  ]
}
Published on:: 05 April 2024
Publisher:: APS
Published in:: Physical Review Letters , Volume 132 (2024)
Issue 14
DOI:: https://doi.org/10.1103/PhysRevLett.132.141901
arXiv:: 2303.12927
Copyrights:: Published by the American Physical Society
Licence:: CC-BY-4.0
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