Analysis of elastic and inelastic nuclear scattering

Strong Absorption model for the studying of Pion-Nuclei Elastic Scattering

“…The We have analyzed the elastic scattering of pions (π ± ) from various nuclei 6 Li, 12 C, 40,44 Ca, 90 Zr and 118 Sn over the energy range of 163-500 MeV on the basis of strong absorption model (SAM) due to Frahn and Venter [1][2].The analyses of experimental data are carried out by a systematic variation of the SAM parameters based on the criterion of minimum root square difference between the experimental and theoretical crosssection. The obtained results of the SAM analysis rendering the best fit parameter values are presented in tables (1 and 2).…”

“…The angular distributions of elastic scattering of π + and π -at different energies 163 to 500 MeV from several nuclei between 6 Li and 118 Sn have been analyzed with the SAM formalism and the best fit parameters Λ, ∆ and µ have been obtained. The quality of SAM fit is poor at low beam energies and at larger angles, while in heavier nuclei a fairly good agreement is obtained.…”

“…Austern and Blair [5] has shown the generalized scattering amplitude of adiabatic distorted wave theory can be expressed in terms of the derivatives of elastic amplitude. The strong absorption model form of η l was introduced by Potgieter and Frahn [6] in the generalized scattering amplitude derived by Austern and Blair [5] and a closed form of expression for inelastic scattering cross-section is obtained in terms of the three parameters namely ʌ, Δ and μ all are fixed from the elastic scattering analysis. The fourth parameter proportional to the reduced matrix element of inelastic interaction is obtained from a normalization N of the theory to experiment.…”