2. Protons with energy 1.0MeV scatter off a fixed spherical potential whose range is known to be a = 10-13 cm. The total elastic scattering cross section o and the differential cross section do/d are measured to a precision of about one percent. (a) Assuming that the energy is not near any resonance of the potential, show that the only phase shifts that can be reliably determined from the data are do and 8₁. + (b) Given the experimental value o = (10.5 0.1) × 10-26 cm² and the values for do/d listed in the table (one percent accuracy), determine do and 8₁. (Do not worry about the errors in your values for do or 8₁. Ⓒ (deg) | dold_2 (10-26 cm²) O 1.232 45 1.103 90 0.823 0.585 0.499 135 180

2. Protons with energy 1.0MeV scatter off a fixed spherical potential whose range is known to be a = 10-13 cm. The total elastic scattering cross section o and the differential cross section do/d are measured to a precision of about one percent. (a) Assuming that the energy is not near any resonance of the potential, show that the only phase shifts that can be reliably determined from the data are do and 8₁. + (b) Given the experimental value o = (10.5 0.1) × 10-26 cm² and the values for do/d listed in the table (one percent accuracy), determine do and 8₁. (Do not worry about the errors in your values for do or 8₁. Ⓒ (deg) | dold_2 (10-26 cm²) O 1.232 45 1.103 90 0.823 0.585 0.499 135 180