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Effect of Local Optical Potential Parameters on the Pion-Nucleus Elastic Scattering in Framework of Second-Order Eikonal Model at Intermediate Energy

The microscopic eikonal phase shifts with its first and second corrections for pi nucleus collision are calculated by using the expression previously derived for the local Kisslinger potential. A physical description to different forms of targets density distributions, are implemented. The roles of the Ericson Ericson Lorentz Lorentz EELL parameter and the adjustable scattering amplitude parameters are discussed.The calculated differential cross sections include the second order corrections of eikonal phase shift.The need for modifying the effective interaction to account for higher order corrections, larger scattering angles and for lower incident projectile momentum is discussed.The results of this theory for 12C 16O 28Si 40 44 48Ca and 208Pb nuclei are shown to yield satisfactory agreement with experimental data in the momentum range of 114 to 292 MeVc.