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Title: Measurement of the Electron Antineutrino Oscillation with 1958 Days of Operation at Daya Bay

Abstract

Here, we report a measurement of electron antineutrino oscillation from the Daya Bay Reactor Neutrino Experiment with nearly 4 million reactor ¯νe inverse β decay candidates observed over 1958 days of data collection. The installation of a flash analog-to-digital converter readout system and a special calibration campaign using different source enclosures reduce uncertainties in the absolute energy calibration to less than 0.5% for visible energies larger than 2 MeV. The uncertainty in the cosmogenic 9Li and 8He background is reduced from 45% to 30% in the near detectors. A detailed investigation of the spent nuclear fuel history improves its uncertainty from 100% to 30%. Analysis of the relative ¯νe rates and energy spectra among detectors yields sin22θ13 = 0.0856 ± 0.0029 and Δm232 = (2.471+0.068–0.070) × 10–3 eV2 assuming the normal hierarchy, and Δm232 = –(2.575+0.068–0.070) × 10–3 eV2 assuming the inverted hierarchy.

Authors:
; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; more »; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; « less
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Org.:
The Daya Bay Collaboration
OSTI Identifier:
1486901
Alternate Identifier(s):
OSTI ID: 1487245; OSTI ID: 1581737
Report Number(s):
BNL-209762-2018-JAAM
Journal ID: ISSN 0031-9007; PRLTAO; 241805
Grant/Contract Number:  
SC0012704; AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; neutrino oscillation; neutrino mixing; reactor; Daya Bay

Citation Formats

Adey, D., An, F. P., Balantekin, A. B., Band, H. R., Bishai, M., Blyth, S., Cao, D., Cao, G. F., Cao, J., Chan, Y. L., Chang, J. F., Chang, Y., Chen, H. S., Chen, S. M., Chen, Y., Chen, Y. X., Cheng, J., Cheng, Z. K., Cherwinka, J. J., Chu, M. C., Chukanov, A., Cummings, J. P., Deng, F. S., Ding, Y. Y., Diwan, M. V., Dolgareva, M., Dwyer, D. A., Edwards, W. R., Gonchar, M., Gong, G. H., Gong, H., Gu, W. Q., Guo, L., Guo, X. H., Guo, Y. H., Guo, Z., Hackenburg, R. W., Hans, S., He, M., Heeger, K. M., Heng, Y. K., Higuera, A., Hsiung, Y. B., Hu, B. Z., Hu, J. R., Hu, T., Hu, Z. J., Huang, H. X., Huang, X. T., Huang, Y. B., Huber, P., Huo, W., Hussain, G., Jaffe, D. E., Jen, K. L., Ji, X. L., Ji, X. P., Johnson, R. A., Jones, D., Kang, L., Kettell, S. H., Koerner, L. W., Kohn, S., Kramer, M., Langford, T. J., Lebanowski, L., Lee, J., Lee, J. H. C., Lei, R. T., Leitner, R., Leung, J. K. C., Li, C., Li, F., Li, H. L., Li, Q. J., Li, S., Li, S. C., Li, S. J., Li, W. D., Li, X. N., Li, X. Q., Li, Y. F., Li, Z. B., Liang, H., Lin, C. J., Lin, G. L., Lin, S., Lin, S. K., Lin, Y. -C., Ling, J. J., Link, J. M., Littenberg, L., Littlejohn, B. R., Liu, J. C., Liu, J. L., Liu, Y., Liu, Y. H., Loh, C. W., Lu, C., Lu, H. Q., Lu, J. S., Luk, K. B., Ma, X. B., Ma, X. Y., Ma, Y. Q., Malyshkin, Y., Marshall, C., Martinez Caicedo, D. A., McDonald, K. T., McKeown, R. D., Mitchell, I., Mora Lepin, L., Napolitano, J., Naumov, D., Naumova, E., Ochoa-Ricoux, J. P., Olshevskiy, A., Pan, H. -R., Park, J., Patton, S., Pec, V., Peng, J. C., Pinsky, L., Pun, C. S. J., Qi, F. Z., Qi, M., Qian, X., Qiu, R. M., Raper, N., Ren, J., Rosero, R., Roskovec, B., Ruan, X. C., Steiner, H., Sun, J. L., Tang, W., Taychenachev, D., Treskov, K., Tse, W. -H., Tull, C. E., Viren, B., Vorobel, V., Wang, C. H., Wang, J., Wang, M., Wang, N. Y., Wang, R. G., Wang, W., Wang, W., Wang, X., Wang, Y. F., Wang, Z., Wang, Z., Wang, Z. M., Wei, H. Y., Wei, L. H., Wen, L. J., Whisnant, K., White, C. G., Wise, T., Wong, H. L. H., Wong, S. C. F., Worcester, E., Wu, Q., Wu, W. J., Xia, D. M., Xing, Z. Z., Xu, J. L., Xue, T., Yang, C. G., Yang, H., Yang, L., Yang, M. S., Yang, M. T., Yang, Y. Z., Ye, M., Yeh, M., Young, B. L., Yu, H. Z., Yu, Z. Y., Yue, B. B., Zeng, S., Zhan, L., Zhang, C., Zhang, C. C., Zhang, F. Y., Zhang, H. H., Zhang, J. W., Zhang, Q. M., Zhang, R., Zhang, X. F., Zhang, X. T., Zhang, Y. M., Zhang, Y. M., Zhang, Y. X., Zhang, Y. Y., Zhang, Z. J., Zhang, Z. P., Zhang, Z. Y., Zhao, J., Zheng, P., Zhou, L., Zhuang, H. L., Zou, J. H., and The Daya Bay Collaboration. Measurement of the Electron Antineutrino Oscillation with 1958 Days of Operation at Daya Bay. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.241805.
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Adey, D., An, F. P., Balantekin, A. B., Band, H. R., Bishai, M., Blyth, S., Cao, D., Cao, G. F., Cao, J., Chan, Y. L., Chang, J. F., Chang, Y., Chen, H. S., Chen, S. M., Chen, Y., Chen, Y. X., Cheng, J., Cheng, Z. K., Cherwinka, J. J., Chu, M. C., Chukanov, A., Cummings, J. P., Deng, F. S., Ding, Y. Y., Diwan, M. V., Dolgareva, M., Dwyer, D. A., Edwards, W. R., Gonchar, M., Gong, G. H., Gong, H., Gu, W. Q., Guo, L., Guo, X. H., Guo, Y. H., Guo, Z., Hackenburg, R. W., Hans, S., He, M., Heeger, K. M., Heng, Y. K., Higuera, A., Hsiung, Y. B., Hu, B. Z., Hu, J. R., Hu, T., Hu, Z. J., Huang, H. X., Huang, X. T., Huang, Y. B., Huber, P., Huo, W., Hussain, G., Jaffe, D. E., Jen, K. L., Ji, X. L., Ji, X. P., Johnson, R. A., Jones, D., Kang, L., Kettell, S. H., Koerner, L. W., Kohn, S., Kramer, M., Langford, T. J., Lebanowski, L., Lee, J., Lee, J. H. C., Lei, R. T., Leitner, R., Leung, J. K. C., Li, C., Li, F., Li, H. L., Li, Q. J., Li, S., Li, S. C., Li, S. J., Li, W. D., Li, X. N., Li, X. Q., Li, Y. F., Li, Z. B., Liang, H., Lin, C. J., Lin, G. L., Lin, S., Lin, S. K., Lin, Y. -C., Ling, J. J., Link, J. M., Littenberg, L., Littlejohn, B. R., Liu, J. C., Liu, J. L., Liu, Y., Liu, Y. H., Loh, C. W., Lu, C., Lu, H. Q., Lu, J. S., Luk, K. B., Ma, X. B., Ma, X. Y., Ma, Y. Q., Malyshkin, Y., Marshall, C., Martinez Caicedo, D. A., McDonald, K. T., McKeown, R. D., Mitchell, I., Mora Lepin, L., Napolitano, J., Naumov, D., Naumova, E., Ochoa-Ricoux, J. P., Olshevskiy, A., Pan, H. -R., Park, J., Patton, S., Pec, V., Peng, J. C., Pinsky, L., Pun, C. S. J., Qi, F. Z., Qi, M., Qian, X., Qiu, R. M., Raper, N., Ren, J., Rosero, R., Roskovec, B., Ruan, X. C., Steiner, H., Sun, J. L., Tang, W., Taychenachev, D., Treskov, K., Tse, W. -H., Tull, C. E., Viren, B., Vorobel, V., Wang, C. H., Wang, J., Wang, M., Wang, N. Y., Wang, R. G., Wang, W., Wang, W., Wang, X., Wang, Y. F., Wang, Z., Wang, Z., Wang, Z. M., Wei, H. Y., Wei, L. H., Wen, L. J., Whisnant, K., White, C. G., Wise, T., Wong, H. L. H., Wong, S. C. F., Worcester, E., Wu, Q., Wu, W. J., Xia, D. M., Xing, Z. Z., Xu, J. L., Xue, T., Yang, C. G., Yang, H., Yang, L., Yang, M. S., Yang, M. T., Yang, Y. Z., Ye, M., Yeh, M., Young, B. L., Yu, H. Z., Yu, Z. Y., Yue, B. B., Zeng, S., Zhan, L., Zhang, C., Zhang, C. C., Zhang, F. Y., Zhang, H. H., Zhang, J. W., Zhang, Q. M., Zhang, R., Zhang, X. F., Zhang, X. T., Zhang, Y. M., Zhang, Y. M., Zhang, Y. X., Zhang, Y. Y., Zhang, Z. J., Zhang, Z. P., Zhang, Z. Y., Zhao, J., Zheng, P., Zhou, L., Zhuang, H. L., Zou, J. H., & The Daya Bay Collaboration. Measurement of the Electron Antineutrino Oscillation with 1958 Days of Operation at Daya Bay. United States. doi:https://doi.org/10.1103/PhysRevLett.121.241805
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Adey, D., An, F. P., Balantekin, A. B., Band, H. R., Bishai, M., Blyth, S., Cao, D., Cao, G. F., Cao, J., Chan, Y. L., Chang, J. F., Chang, Y., Chen, H. S., Chen, S. M., Chen, Y., Chen, Y. X., Cheng, J., Cheng, Z. K., Cherwinka, J. J., Chu, M. C., Chukanov, A., Cummings, J. P., Deng, F. S., Ding, Y. Y., Diwan, M. V., Dolgareva, M., Dwyer, D. A., Edwards, W. R., Gonchar, M., Gong, G. H., Gong, H., Gu, W. Q., Guo, L., Guo, X. H., Guo, Y. H., Guo, Z., Hackenburg, R. W., Hans, S., He, M., Heeger, K. M., Heng, Y. K., Higuera, A., Hsiung, Y. B., Hu, B. Z., Hu, J. R., Hu, T., Hu, Z. J., Huang, H. X., Huang, X. T., Huang, Y. B., Huber, P., Huo, W., Hussain, G., Jaffe, D. E., Jen, K. L., Ji, X. L., Ji, X. P., Johnson, R. A., Jones, D., Kang, L., Kettell, S. H., Koerner, L. W., Kohn, S., Kramer, M., Langford, T. J., Lebanowski, L., Lee, J., Lee, J. H. C., Lei, R. T., Leitner, R., Leung, J. K. C., Li, C., Li, F., Li, H. L., Li, Q. J., Li, S., Li, S. C., Li, S. J., Li, W. D., Li, X. N., Li, X. Q., Li, Y. F., Li, Z. B., Liang, H., Lin, C. J., Lin, G. L., Lin, S., Lin, S. K., Lin, Y. -C., Ling, J. J., Link, J. M., Littenberg, L., Littlejohn, B. R., Liu, J. C., Liu, J. L., Liu, Y., Liu, Y. H., Loh, C. W., Lu, C., Lu, H. Q., Lu, J. S., Luk, K. B., Ma, X. B., Ma, X. Y., Ma, Y. Q., Malyshkin, Y., Marshall, C., Martinez Caicedo, D. A., McDonald, K. T., McKeown, R. D., Mitchell, I., Mora Lepin, L., Napolitano, J., Naumov, D., Naumova, E., Ochoa-Ricoux, J. P., Olshevskiy, A., Pan, H. -R., Park, J., Patton, S., Pec, V., Peng, J. C., Pinsky, L., Pun, C. S. J., Qi, F. Z., Qi, M., Qian, X., Qiu, R. M., Raper, N., Ren, J., Rosero, R., Roskovec, B., Ruan, X. C., Steiner, H., Sun, J. L., Tang, W., Taychenachev, D., Treskov, K., Tse, W. -H., Tull, C. E., Viren, B., Vorobel, V., Wang, C. H., Wang, J., Wang, M., Wang, N. Y., Wang, R. G., Wang, W., Wang, W., Wang, X., Wang, Y. F., Wang, Z., Wang, Z., Wang, Z. M., Wei, H. Y., Wei, L. H., Wen, L. J., Whisnant, K., White, C. G., Wise, T., Wong, H. L. H., Wong, S. C. F., Worcester, E., Wu, Q., Wu, W. J., Xia, D. M., Xing, Z. Z., Xu, J. L., Xue, T., Yang, C. G., Yang, H., Yang, L., Yang, M. S., Yang, M. T., Yang, Y. Z., Ye, M., Yeh, M., Young, B. L., Yu, H. Z., Yu, Z. Y., Yue, B. B., Zeng, S., Zhan, L., Zhang, C., Zhang, C. C., Zhang, F. Y., Zhang, H. H., Zhang, J. W., Zhang, Q. M., Zhang, R., Zhang, X. F., Zhang, X. T., Zhang, Y. M., Zhang, Y. M., Zhang, Y. X., Zhang, Y. Y., Zhang, Z. J., Zhang, Z. P., Zhang, Z. Y., Zhao, J., Zheng, P., Zhou, L., Zhuang, H. L., Zou, J. H., and The Daya Bay Collaboration. Fri . "Measurement of the Electron Antineutrino Oscillation with 1958 Days of Operation at Daya Bay". United States. doi:https://doi.org/10.1103/PhysRevLett.121.241805.
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@article{osti_1486901,
title = {Measurement of the Electron Antineutrino Oscillation with 1958 Days of Operation at Daya Bay},
author = {Adey, D. and An, F. P. and Balantekin, A. B. and Band, H. R. and Bishai, M. and Blyth, S. and Cao, D. and Cao, G. F. and Cao, J. and Chan, Y. L. and Chang, J. F. and Chang, Y. and Chen, H. S. and Chen, S. M. and Chen, Y. and Chen, Y. X. and Cheng, J. and Cheng, Z. K. and Cherwinka, J. J. and Chu, M. C. and Chukanov, A. and Cummings, J. P. and Deng, F. S. and Ding, Y. Y. and Diwan, M. V. and Dolgareva, M. and Dwyer, D. A. and Edwards, W. R. and Gonchar, M. and Gong, G. H. and Gong, H. and Gu, W. Q. and Guo, L. and Guo, X. H. and Guo, Y. H. and Guo, Z. and Hackenburg, R. W. and Hans, S. and He, M. and Heeger, K. M. and Heng, Y. K. and Higuera, A. and Hsiung, Y. B. and Hu, B. Z. and Hu, J. R. and Hu, T. and Hu, Z. J. and Huang, H. X. and Huang, X. T. and Huang, Y. B. and Huber, P. and Huo, W. and Hussain, G. and Jaffe, D. E. and Jen, K. L. and Ji, X. L. and Ji, X. P. and Johnson, R. A. and Jones, D. and Kang, L. and Kettell, S. H. and Koerner, L. W. and Kohn, S. and Kramer, M. and Langford, T. J. and Lebanowski, L. and Lee, J. and Lee, J. H. C. and Lei, R. T. and Leitner, R. and Leung, J. K. C. and Li, C. and Li, F. and Li, H. L. and Li, Q. J. and Li, S. and Li, S. C. and Li, S. J. and Li, W. D. and Li, X. N. and Li, X. Q. and Li, Y. F. and Li, Z. B. and Liang, H. and Lin, C. J. and Lin, G. L. and Lin, S. and Lin, S. K. and Lin, Y. -C. and Ling, J. J. and Link, J. M. and Littenberg, L. and Littlejohn, B. R. and Liu, J. C. and Liu, J. L. and Liu, Y. and Liu, Y. H. and Loh, C. W. and Lu, C. and Lu, H. Q. and Lu, J. S. and Luk, K. B. and Ma, X. B. and Ma, X. Y. and Ma, Y. Q. and Malyshkin, Y. and Marshall, C. and Martinez Caicedo, D. A. and McDonald, K. T. and McKeown, R. D. and Mitchell, I. and Mora Lepin, L. and Napolitano, J. and Naumov, D. and Naumova, E. and Ochoa-Ricoux, J. P. and Olshevskiy, A. and Pan, H. -R. and Park, J. and Patton, S. and Pec, V. and Peng, J. C. and Pinsky, L. and Pun, C. S. J. and Qi, F. Z. and Qi, M. and Qian, X. and Qiu, R. M. and Raper, N. and Ren, J. and Rosero, R. and Roskovec, B. and Ruan, X. C. and Steiner, H. and Sun, J. L. and Tang, W. and Taychenachev, D. and Treskov, K. and Tse, W. -H. and Tull, C. E. and Viren, B. and Vorobel, V. and Wang, C. H. and Wang, J. and Wang, M. and Wang, N. Y. and Wang, R. G. and Wang, W. and Wang, W. and Wang, X. and Wang, Y. F. and Wang, Z. and Wang, Z. and Wang, Z. M. and Wei, H. Y. and Wei, L. H. and Wen, L. J. and Whisnant, K. and White, C. G. and Wise, T. and Wong, H. L. H. and Wong, S. C. F. and Worcester, E. and Wu, Q. and Wu, W. J. and Xia, D. M. and Xing, Z. Z. and Xu, J. L. and Xue, T. and Yang, C. G. and Yang, H. and Yang, L. and Yang, M. S. and Yang, M. T. and Yang, Y. Z. and Ye, M. and Yeh, M. and Young, B. L. and Yu, H. Z. and Yu, Z. Y. and Yue, B. B. and Zeng, S. and Zhan, L. and Zhang, C. and Zhang, C. C. and Zhang, F. Y. and Zhang, H. H. and Zhang, J. W. and Zhang, Q. M. and Zhang, R. and Zhang, X. F. and Zhang, X. T. and Zhang, Y. M. and Zhang, Y. M. and Zhang, Y. X. and Zhang, Y. Y. and Zhang, Z. J. and Zhang, Z. P. and Zhang, Z. Y. and Zhao, J. and Zheng, P. and Zhou, L. and Zhuang, H. L. and Zou, J. H. and The Daya Bay Collaboration},
abstractNote = {Here, we report a measurement of electron antineutrino oscillation from the Daya Bay Reactor Neutrino Experiment with nearly 4 million reactor ¯νe inverse β decay candidates observed over 1958 days of data collection. The installation of a flash analog-to-digital converter readout system and a special calibration campaign using different source enclosures reduce uncertainties in the absolute energy calibration to less than 0.5% for visible energies larger than 2 MeV. The uncertainty in the cosmogenic 9Li and 8He background is reduced from 45% to 30% in the near detectors. A detailed investigation of the spent nuclear fuel history improves its uncertainty from 100% to 30%. Analysis of the relative ¯νe rates and energy spectra among detectors yields sin22θ13 = 0.0856 ± 0.0029 and Δm232 = (2.471+0.068–0.070) × 10–3 eV2 assuming the normal hierarchy, and Δm232 = –(2.575+0.068–0.070) × 10–3 eV2 assuming the inverted hierarchy.},
doi = {10.1103/PhysRevLett.121.241805},
journal = {Physical Review Letters},
number = 24,
volume = 121,
place = {United States},
year = {2018},
month = {12}
}
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DOI: https://doi.org/10.1103/PhysRevLett.121.241805
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Figures / Tables:

FIG. 1 FIG. 1: Relationship between the reconstructed and true prompt energy, which is a combination of positron kinetic energy and energies of the annihilation γ rays. The updated model and its uncertainty (red) contains improvements described in the text. The previous model [7] is shown for comparison.
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Works referenced in this record:

Determination of antineutrino spectra from nuclear reactors
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Antineutrino flux and spectrum calculation for spent nuclear fuel for the Daya Bay antineutrino experiment
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Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment
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New constraints on oscillation parameters from ν e appearance and ν μ disappearance in the NOvA experiment
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Indication of Reactor ν ¯ e Disappearance in the Double Chooz Experiment
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Spectral Measurement of Electron Antineutrino Oscillation Amplitude and Frequency at Daya Bay
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Observation of Electron-Antineutrino Disappearance at Daya Bay
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Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
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Improved predictions of reactor antineutrino spectra
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Combined Analysis of ν μ Disappearance and ν μ → ν e Appearance in MINOS Using Accelerator and Atmospheric Neutrinos
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Electron Neutrino and Antineutrino Appearance in the Full MINOS Data Sample
journal, April 2013

Measurement of electron antineutrino oscillation based on 1230 days of operation of the Daya Bay experiment
journal, April 2017

New Measurement of Antineutrino Oscillation with the Full Detector Configuration at Daya Bay
journal, September 2015

The muon system of the Daya Bay Reactor antineutrino experiment
journal, February 2015

  • An, F. P.; Balantekin, A. B.; Band, H. R.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 773
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The detector system of the Daya Bay reactor neutrino experiment
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Improved measurement of the reactor antineutrino flux and spectrum at Daya Bay
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Search for C P Violation in Neutrino and Antineutrino Oscillations by the T2K Experiment with 2.2 × 10 21 Protons on Target
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The Flash ADC system and PMT waveform reconstruction for the Daya Bay experiment
journal, July 2018

  • Huang, Yongbo; Chang, Jinfan; Cheng, Yaping
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 895
  • DOI: 10.1016/j.nima.2018.03.061
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    Works referencing / citing this record:

    Neutrino- 13 C cross sections at supernova neutrino energies
    journal, May 2019

    • Suzuki, T.; Balantekin, A. B.; Kajino, T.
    • Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 7
    • DOI: 10.1088/1361-6471/ab1c11

    Physics with beam tau-neutrino appearance at DUNE
    journal, July 2019

    Constraining sterile neutrino cosmology with terrestrial oscillation experiments
    journal, July 2019

    Constraint on the solar Δ m 2 using 4000 days of short baseline reactor neutrino data
    journal, December 2019

    Extraction of the U 235 and Pu 239 Antineutrino Spectra at Daya Bay
    journal, September 2019

    Recent Probes of Standard and Non-standard Neutrino Physics With Nuclei
    journal, November 2019

    • Papoulias, Dimitrios K.; Kosmas, Theocharis S.; Kuno, Yoshitaka
    • Frontiers in Physics, Vol. 7
    • DOI: 10.3389/fphy.2019.00191
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      FIG. 1 (p. 5)figure
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      FIG. 3 (p. 7)figure
      TABLE I (p. 7)table
      FIG. 4 (p. 8)figure
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