Resumen de Analyses of low energy π^(+) − ^(12)C, ^(16)O elastic scattering data using inverse scattering theory and suggested scaling method
Zuhair F. Sheehadeh, Reham M. El-Shawaf
The elastic scattering data for low-energy (T_(π) ≤ 80 MeV) positive pions from carbon-12 and oxygen-16 nuclei has been successfully analyzed by using our local optical potential based on the inverse scattering theory within the framework of the full Klein-Gordon equation. It is found that the same potential parameters used in the π^(−) − ^(12)C, cases are still valid for π^(+) − ^(12)C with a need to change the three parameters R_(0), V_(1) and W_(3) with the pion’s incident kinetic energy T_(π). This is also found to hold in analyzing successfully the measured angular distributions for π^(+) − ^(16)O in the same energy region. The systematic trends in the changed three free potential parameters R_(0), V_(1) and W_(3) with T_(π) are compared to their counterparts for π^(+) − ^(12)C. The different relations obtained for the two cases under consideration, π^(+) − ^(12)C and π^(+) − ^(16)O, reveals their dependence on the atomic weight of the target nucleus. As such, this suggests the use of a scaling method to obtain the potential parameters for a certain pion-nucleus system, as π^(+) − ^(16)O, from a similar nearby one, as π^(+) − ^(12)C. Further studies are needed to confirm our new findings.
