Analyses of low energy π^(+) − ^(12)C, ^(16)O elastic scattering data using inverse scattering theory and suggested scaling method
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Zuhair F. Sheehadeh [1] ; Reham M. El-Shawaf [1]
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[1] Taif University
Taif University
Arabia Saudí
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- Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 62, Nº. 5, 2016, págs. 475-483
- Idioma: inglés
- Enlaces
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Resumen
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.
