The Dirac Form Factor Predicts the Pauli Form Factor in the Endpoint Model

Abstract

We compute the momentum-transfer dependence of the proton Pauli form factor $F_2$ in the endpoint overlap model. We find the model correctly reproduces the scaling of the ratio of $F_2$ with the Dirac Form factor $F_1$ observed at the Jefferson Laboratory. The calculation uses the leading-power, leading twist Dirac structure of the quark light-cone wave function, and the same endpoint dependence previously determined from the Dirac form factor $F_1$. There are no parameters and no adjustable functions in the endpoint model's prediction for $F_2$. The model's predicted ratio $F_2(Q^2)/F_1(Q^2)$ is quite insensitive to the endpoint wave function, which explains why the observed ratio scales like $1/Q$ down to rather low momentum transfers. The endpoint model appears to be the only comprehensive model consistent with all form factor information as well as reproducing fixed-angle proton-proton scattering at large momentum transfer. Any one of the processes is capable of predicting the others.

12 pages, 3 figures

References in corpus (6)

• Nucleon Form Factors in QCD
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• Nucleon Form Factors and Distribution Amplitudes in QCD
• Transverse target spin asymmetry in inclusive DIS with two-photon exchange
• Lattice Calculations of Nucleon Electromagnetic Form Factors at Large Momentum Transfer
• Uncovering the Scaling Laws of Hard Exclusive Hadronic Processes in a Comprehensive Endpoint Model

Cited by in corpus (3)

• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Electromagnetic transition form factors of nucleons from the hard-wall AdS/QCD model
• Compton scattering in the Endpoint Model