- Letter
- Open Access
Deep learning exotic hadrons
Phys. Rev. D 105, L091501 – Published 17 May, 2022
DOI: https://doi.org/10.1103/PhysRevD.105.L091501
Abstract
We perform the first amplitude analysis of experimental data using deep neural networks to determine the nature of an exotic hadron. Specifically, we study the line shape of the signal reported by the LHCb collaboration, and we find that its most likely interpretation is that of a virtual state. This method can be applied to other near-threshold resonance candidates.
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References (26)
- M. Gell-Mann, Phys. Lett. 8, 214 (1964); G. Zweig, An model for strong interaction symmetry and its breaking, Technical Report No. CERN-TH-401 (CERN, Geneva, Switzerland, 1964).
- P. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
- S. L. Olsen, T. Skwarnicki, and D. Zieminska, Rev. Mod. Phys. 90, 015003 (2018).
- A. Esposito, A. Pilloni, and A. D. Polosa, Phys. Rep. 668, 1 (2017); A. Ali, L. Maiani, and A. D. Polosa, Multiquark Hadrons (Cambridge University Press, Cambridge, England, 2019).
- F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018).
- F.-K. Guo, X.-H. Liu, and S. Sakai, Prog. Part. Nucl. Phys. 112, 103757 (2020).
- R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017); M. Karliner, J. L. Rosner, and T. Skwarnicki, Annu. Rev. Nucl. Part. Sci. 68, 17 (2018); N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C. E. Thomas, A. Vairo, and C.-Z. Yuan, Phys. Rep. 873, 1 (2020).
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 122, 222001 (2019).
- M.-L. Du, V. Baru, F.-K. Guo, C. Hanhart, U.-G. Meißner, J. A. Oller, and Q. Wang, Phys. Rev. Lett. 124, 072001 (2020); J. High Energy Phys. 08 (2021) 157.
- S. X. Nakamura, Phys. Rev. D 103, L111503 (2021).
- C. Fernández-Ramírez, A. Pilloni, M. Albaladejo, A. Jackura, V. Mathieu, M. Mikhasenko, J. A. Silva-Castro, and A. P. Szczepaniak (JPAC Collaboration), Phys. Rev. Lett. 123, 092001 (2019).
- H. W. Hammer and S. König, Phys. Lett. B 736, 208 (2014).
- D. G. Ireland, S. Janssen, and J. Ryckebusch, Nucl. Phys. A740, 147 (2004); C. Fernández-Ramírez, E. Moya de Guerra, A. Udías, and J. M. Udías, Phys. Rev. C 77, 065212 (2008); R. D. Ball et al. (NNPDF Collaboration), J. High Energy Phys. 04 (2015) 040.
- S. Forte, L. Garrido, J. I. Latorre, and A. Piccione, J. High Energy Phys. 05 (2002) 062; J. Rojo and J. I. Latorre, 01 (2004) 055; J. W. T. Keeble and A. Rios, Phys. Lett. B 809, 135743 (2020); C. Adams, G. Carleo, A. Lovato, and N. Rocco, Phys. Rev. Lett. 127, 022502 (2021).
- D. L. B. Sombillo, Y. Ikeda, T. Sato, and A. Hosaka, Phys. Rev. D 102, 016024 (2020).
- D. L. B. Sombillo, Y. Ikeda, T. Sato, and A. Hosaka, Phys. Rev. D 104, 036001 (2021); arXiv:2104.14182.
- W. R. Frazer and A. W. Hendry, Phys. Rev. 134, B1307 (1964).
- J. J. Dudek, R. G. Edwards, and D. J. Wilson (Hadron Spectrum Collaboration), Phys. Rev. D 93, 094506 (2016).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.105.L091501 for additional information on the training set, the neural network architecture, and the analysis of the experimental data.
- A. Paszke, S. Gross, F. Massa, A. Lerer, J. Bradbury, G. Chanan, T. Killeen, Z. Lin, N. Gimelshein, L. Antiga, A. Desmaison, A. Kopf, E. Yang, Z. DeVito, M. Raison, A. Tejani, S. Chilamkurthy, B. Steiner, L. Fang, J. Bai, and S. Chintala, in Advances in Neural Information Processing Systems 32, edited by H. Wallach, H. Larochelle, A. Beygelzimer, F. d Alché-Buc, E. Fox, and R. Garnett (Curran Associates, Inc., Vancouver, BC, 2019), pp. 8024–8035.
- D. P. Kingma and J. Ba, in 3rd International Conference on Learning Representations, ICLR 2015, San Diego, CA, USA, May 7-9, 2015, Conference Track Proceedings, edited by Y. Bengio and Y. LeCun (San Diego CA, 2015), arXiv:1412.6980.
- S. M. Lundberg and S.-I. Lee, in Advances in Neural Information Processing Systems, edited by I. Guyon, U. V. Luxburg, S. Bengio, H. Wallach, R. Fergus, S. Vishwanathan, and R. Garnett (Curran Associates, Inc., Vancouver, BC, 2017), Vol. 30, .
- B. Efron and R. Tibshirani, An Introduction to the Bootstrap, Chapman & Hall/CRC Monographs on Statistics & Applied Probability (Taylor & Francis, London, 1994).
- J. Landay, M. Döring, C. Fernández-Ramírez, B. Hu, and R. Molina, Phys. Rev. C 95, 015203 (2017).
- Y. Gal and Z. Ghahramani, in Proceedings of The 33rd International Conference on Machine Learning, edited by M. F. Balcan and K. Q. Weinberger, Proceedings of Machine Learning Research, Vol. 48 (PMLR, New York, New York, USA, 2016), pp. 1050–1059.
- I. Goodfellow, Y. Bengio, and A. Courville, Deep Learning (MIT Press, Cambridge, MA, 2016).