Estimating proton radius and proportion of other non-perturbative components in the proton by the maximum entropy methodSupported by National Basic Research Program of China (973 Program) (2014CB845406)

Han, Cheng-Dong (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China) (University of Chinese Academy of Sciences, Beijing 100049, China) ; Chen, Xu-Rong (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China)

24 October 2017

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 scale . 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 rp = 0.841 fm and the CODATA analysis rp = 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.


Published in: Chinese Phys. C 41 (2017) 113103
Published by: Institute of Physics Publishing/Chinese Academy of Sciences
DOI: 10.1088/1674-1137/41/11/113103
arXiv: 1612.06631
License: CC-BY-3.0



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