Abstract
The calculation of phase shifts from experimental data has usually involved "matching" of differential cross-section data at a number of angles equal to the number of assumed nonzero phase shifts, followed by minimization of the errors at other angles. It is possible to derive simultaneous equations for assumed phase shifts by calculating "moments" of a suitable expression for the differential cross section. We have derived such a theoretical expression for the problem of single-channel elastic scattering of charged particles with channel spin ½, and performed the integrations. For each particular experimental problem, the cross-section data are to be integrated numerically. Then simultaneous equations are obtained which may be solved for phase shifts. As an example of this method, we have analyzed proton-alpha scattering data at an incident energy of 5.78 Mev and obtained values for five assumed phase shifts.
- Received 7 February 1955
DOI:https://doi.org/10.1103/PhysRev.100.777
©1955 American Physical Society