توجيه انتقال فاز مختلط براي تابع موج و اپيچيده پراكندگي پايون از هسته هاي سرب و كربن

Complex Phase Shift Interpretation for Distorted Wave of Elastic Pion Scattering from Pb and C Nuclei

We use the equivalent local form of Kisslinger optical potential to calculate the elastic differential cross section for the scattering of pions from Pb and C nuclei with the energy near to the (3,3) resonance region. For this range of energy the scattering amplitude depends on the complex phase shifts of the pion-nucleon interaction, arising from the spin and isospin degrees of freedom. We calculate the elastic differential cross section by using Born approximation. To get the acceptable results, it is necessary to use a distorted wave function instead of the usual plane wave form for the incident pions. This wave function has adjustable energy dependent parameters. By fitting the experimental and theoretical differential cross section, we have calculated the values of the parameters of our wave function and the optical potential parameters.