2016/12/31 by Chengdong Han, Cheng-Dong Han, Xurong Chen +1 · 2 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Electron #Hydrogen #Particle physics theoretical and experimental studies #Principle of maximum entropy #Proton #Quark #RADIUS #Statistical Mechanics and Entropy #hep-ph
paper · pdf · open access · doi:10.1088/1674-1137/41/11/113103
published in Chinese Physics C 41(11), 113103 (IOP Publishing) · 6 pages,5 figures
openalex created_date 2017/01/06 · arxiv created 2017/09/01 · arxiv updated 2017/09/04 · openalex publication_date 2017/10/24 · openalex updated_date 2026/08/05
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 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.