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Estimating proton radius and the proportion of other non-perturbative components in the proton by Maximum Entropy Method | | Chengdong Han
; Xurong Chen
; | | Date: |
20 Dec 2016 | | 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 very low
resolution scale Q$^{2}$. 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 that 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 $r_p$ = 0.841fm 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 of other non perturbative components (4.8\%) that the electron can
detect. | | Source: | arXiv, 1612.6631 | | Services: | Forum | Review | PDF | Favorites | |
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