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Chinese Physics C > 2017, Vol. 41 > Issue(11): 113103 DOI: 10.1088/1674-1137/41/11/113103

Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method

  • 1.

    Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

  • 2.

    University of Chinese Academy of Sciences, Beijing 100049, China

  • 3.

    Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

  • In this paper, we apply the Maximum Entropy Method to estimate the proton radius and determine the valence quark distributions in the proton at extremely low resolution scale Q 0 2. Using the simplest functional form of the valence quark distribution and standard deviations of quark distribution functions in the estimation of the proton radius, we obtain a quadratic polynomial for the relationship between the proton radius and the momentum fraction of other non-perturbative components in the proton. The proton radii are approximately equal to the muonic hydrogen experimental result r p=0.841 fm and the CODATA analysis r p=0.877 fm when the other non-perturbative components account for 17.5% and 22.3% respectively. We propose " ghost matter" to explain the difference in other non-perturbative components (4.8%) that the electron can detect.
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Cheng-Dong Han and Xu-Rong Chen. Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method[J]. Chinese Physics C, 2017, 41(11): 113103. doi: 10.1088/1674-1137/41/11/113103
Cheng-Dong Han and Xu-Rong Chen. Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method[J]. Chinese Physics C, 2017, 41(11): 113103. doi:10.1088/1674-1137/41/11/113103 shu
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Received: 2017-06-06
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    Supported by National Basic Research Program of China (973 Program) (2014CB845406)

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    Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy method

      Corresponding author:Xu-Rong Chen,
    • 1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
    • 2. University of Chinese Academy of Sciences, Beijing 100049, China
    • 3. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
    • Received Date:2017-06-06
    • Available Online:2017-11-05
    Fund Project:Supported by National Basic Research Program of China (973 Program) (2014CB845406)

      Abstract:In this paper, we apply the Maximum Entropy Method to estimate the proton radius and determine the valence quark distributions in the proton at extremely low resolution scaleQ02. Using the simplest functional form of the valence quark distribution and standard deviations of quark distribution functions in the estimation of the proton radius, we obtain a quadratic polynomial for the relationship between the proton radius and the momentum fraction of other non-perturbative components in the proton. The proton radii are approximately equal to the muonic hydrogen experimental resultrp=0.841 fm and the CODATA analysisrp=0.877 fm when the other non-perturbative components account for 17.5% and 22.3% respectively. We propose "ghost matter" to explain the difference in other non-perturbative components (4.8%) that the electron can detect.

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