New Measurements of the Proton Double-Spin Asymmetries $A_1$ and $A_2$ In and Above the Resonance Region

The CLAS EG1b experiment in Hall-B at Jefferson Laboratory utilized a polarized electron beam at various (1.6, 2.5, 4.2, 5.7 GeV) energies and polarized frozen NH$_3$ and ND$_3$ targets to measure double-polarization asymmetries of inclusive electron-nucleon scattering. The proton asymmetry $A_1$ has been extracted from the double-spin asymmetry (at $0.15$ GeV$^2 < Q^2 < 2.0$ GeV$^2$). Newly analyzed data at 2.5 and 4.2 GeV allows a more complete integration in $x$ of the $g_1$ structure function than provided by previous analysis, reducing models dependency in the calculation of $\Gamma_1$, the first moment of $g_1$. A linear regression of the asymmetries in terms of $\eta \equiv \epsilon\sqrt{Q^2}/(E - \epsilon{E'})$ also provides a rudimentary measurement of $A_2$ in the region of kinematic overlap for the varying beam energies.