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3 Proton elastic scattering cross section for oxygen . . . 4 Proton elastic scattering for aluminum . . . . . . 5 Proton elastic scattering cross section for silicon . . . 6 The cross section for elastic scattering of 4 He from carbon 40 41 42 44 45 46 48 . . . . . . 5 SigmaCalc - A Cross Section Calculator 50 6 Conclusion 51 References 53 Protons and Helions Elastic Scattering from Light Nuclei 1 35 Introduction The utilization of proton and 4 He beams with energies at which the elastic scattering cross section for light elements, conditioned by nuclear rather than electrostatic interaction, has become very common over the past years.
42) 2ma Functions ψl,λ correspond to actual states Eλ of the nucleus. Quantities γl,λ , called reduced width amplitudes, are connected with the energy width 2 ∼ Γ ). It is shown in the theory that the cross-section Γ of real states (γl,λ l,λ can be written in terms of the R-matrix. The differential cross section for the scattering of charged particles is a sum of three terms which correspond to pure Coulomb scattering, resonance and reaction scattering and interference between Coulomb and resonance scattering.