Abstract

SHEHADEH, Zuhair F.  and  EL-SHAWAF, Reham M.. Analyses of low energy π⁺−¹²C, ¹⁶O elastic scattering data using inverse scattering theory and suggested scaling method. Rev. mex. fis. [online]. 2016, vol.62, n.5, pp.475-483. ISSN 0035-001X.

The elastic scattering data for low-energy (Tπ ≤ 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−−12C, cases are still valid for π+−12C with a need to change the three parameters R0, V1 and W3 with the pion’s incident kinetic energy Tπ. This is also found to hold in analyzing successfully the measured angular distributions for π+−16O in the same energy region. The systematic trends in the changed three free potential parameters R0, V1 and W3 with Tπ are compared to their counterparts for π+−12C. The different relations obtained for the two cases under consideration, π+−12C and π+−16O, 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+−16O, from a similar nearby one, as π+−12C. Further studies are needed to confirm our new findings.

Keywords : Pion-nucleus potential; Klein-Gordon equation; elastic scattering; inverse scattering theory; scaling method.

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