The experiment results in an estimated value of $R = \sigma_{0} / \pi b^{6} = (1.0 \pm 0.2) \times 10^{16} \text{ sec}^{-1}$, assuming the radius of the mesonic Bohr orbit $b = 2.2 \times 10^{-11} \text{ cm}$ and the lifetime $\tau_{0} = 8 \times 10^{9} \text{ cm} / \text{sec}$. Bernardini discusses the cross sections for various reactions and uses detailed balance to predict the corresponding cross sections for $\rho(\pi^{-} \gamma) n$. The discrepancy between the predicted and experimental values suggests that the initial slope of $\beta_{1}^{0}-\alpha_{1}^{0}$ should be $\pm(9.2^{\circ}) \eta^{\prime}$, rather than the value obtained from the experiment. Bethe and Noyes explain this discrepancy by assuming that the initial slope cannot be extrapolated to the energy of Panofsky's experiment, but that it is $\pm(9.2^{\circ}) \eta^{\prime}$. They fit this initial slope with a smooth curve and find that the behavior of $\beta_{1}^{0}$ changes sign between 20 and 30 Mev, indicating a Jastrow potential for the phase shift.The experiment results in an estimated value of $R = \sigma_{0} / \pi b^{6} = (1.0 \pm 0.2) \times 10^{16} \text{ sec}^{-1}$, assuming the radius of the mesonic Bohr orbit $b = 2.2 \times 10^{-11} \text{ cm}$ and the lifetime $\tau_{0} = 8 \times 10^{9} \text{ cm} / \text{sec}$. Bernardini discusses the cross sections for various reactions and uses detailed balance to predict the corresponding cross sections for $\rho(\pi^{-} \gamma) n$. The discrepancy between the predicted and experimental values suggests that the initial slope of $\beta_{1}^{0}-\alpha_{1}^{0}$ should be $\pm(9.2^{\circ}) \eta^{\prime}$, rather than the value obtained from the experiment. Bethe and Noyes explain this discrepancy by assuming that the initial slope cannot be extrapolated to the energy of Panofsky's experiment, but that it is $\pm(9.2^{\circ}) \eta^{\prime}$. They fit this initial slope with a smooth curve and find that the behavior of $\beta_{1}^{0}$ changes sign between 20 and 30 Mev, indicating a Jastrow potential for the phase shift.