Estimating proton radius and proportion of other non-perturbative components in the proton by the Maximum Entropy Method

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 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 $"ghostmatter"$ to explain the difference in other non-perturbative components (4.8\%) that the electron can detect.

6 pages,5 figures

References in corpus (9)

• Parton distributions for the LHC
• New parton distributions for collider physics
• The size of the proton - closing in on the radius puzzle
• Flavor Asymmetry of the Nucleon Sea and the Five-Quark Components of the Nucleons
• Statistical effect in the parton distribution functions of the nucleon
• Polynomial fits and the proton radius puzzle
• The Proton Radius from Bayesian Inference
• Valence quark distributions of the proton from maximum entropy approach
• Intrinsic strange distributions in the nucleon from the light-cone models

Cited by in corpus (1)

• Neutron structure function via a maximum entropy analysis