Similar to Fig. 6, but for the density models of Eq. (37a) with constant pitch angle α and relative perturbation density-amplitude A_m(R) = A_maxB_H24(R, β), i.e., the same profile as the relative perturbation force-amplitude for the model of Hamilton et al. (2024, shown in Fig. 6) for $\beta =\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$ (left) and β = 1 (right). Differently from that figure, the pitch angle of the potential is plotted. The estimates for the potential from the second-order tight-winding approximation (24) are also shown, as is the torque per annulus (bottom) and its approximation (27).