Empirical Fit to Precision Inclusive Electron-Proton Cross Sections in the Resonance Region

Abstract

An empirical fit is described to measurements of inclusive inelastic electron-proton cross sections in the kinematic range of four-momentum transfer $0\le Q^2<8$ GeV${}^2$ and final state invariant mass $1.1<W<3.1$ GeV. The fit is constrained by the recent high precision longitudinal and transverse (L/T) separated cross section measurements from Jefferson Lab Hall C, un-separated Hall C measurements up to $Q^2$ $\approx 7.5$ ${\mathrm{GeV}}^2$, and photoproduction data at $Q^2=0$. Compared to previous fits, the present fit covers a wider kinematic range, fits both transverse and longitudinal cross sections, and features smooth transitions to the photoproduction data at $Q^2=0$ and DIS data at high $Q^2$ and $W$.

Comments: 11 pages, 5 figures; Fixed typographical errors in Equations 16 and 23. Fixed typographical error in definition of t (now defined in Equation 24)