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

TL;DR

This paper presents an empirical fit to inclusive electron-proton scattering data across a broad kinematic range, integrating recent high-precision measurements and ensuring smooth transitions between different regimes.

Contribution

It introduces a comprehensive empirical fit that covers a wider kinematic range and incorporates recent high-precision data, improving upon previous models.

Findings

Fit covers $0 \,\leq\, Q^2<8$ GeV$^2$ and $1.1<W<3.1$ GeV

Successfully integrates recent Jefferson Lab measurements and photoproduction data

Ensures smooth transition between resonance, photoproduction, and deep inelastic scattering regimes.

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 $Q^2$ $\approx 7.5$ ${\rm GeV}^2$, 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 $W$.