Differential cross section spin-dependent scattering

Predictions for p + Ca elastic scattering at 300 MeV and p + at 400 eV are shown in figs. 21 and 22, respectively, by the dashed-dotted curves. The solid curves indicate the density dependent Watson t-matrix results while the lA predictions are shown by the dashed lines. All three sets of calculations include correlation contributions (from the second-order term in the optical potential, see section 3.7), use densities determined from electron scattering, and for the lA calculations and the density dependent t-matrix predictions, the SP82 phase shift solution of Arndt [Ar83] was used. The solid and dashed curves shown in figs. 21 and 22 are reproduced from ref. [Ra ]. The quality of the fits is improved when density dependence is included. The Paris-Hamburg g-matrix results are similar to the density dependent t-matrix results, except in their respective predictions for the 400 MeV p -I- " Pb differential cross section and spin rotation at lar an es. 

If there is more than one particle emitted in the scattering process, and one or more of these (electron, photon, etc.) are detected in coincidence with the scattered electron, then the cross sections are also differential with respect to the energy and angular distributions of these secondary particles. Such measurements are called correlation measurements, since the cross section depends on the correlation between say the angles (or energies, or spin directions) of the final particles. 

Sodium has another advantage as a test for scattering and structure calculations. A very wide range of experimental data is available. This includes spin-dependent measurements of scattering and magnetic substate data, which will be described in chapter 9. In this section we consider only differential, integrated and total cross sections. 

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