A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Authors

ZUHAIR FAYYAD MAHMOUD SHEHADEH

DOI

10.3906/fiz-1502-4

Abstract

A simple optical potential of Woods-Saxon form is used within the framework of the Klein-Gordon equation, for the first time, to analyze the elastic differential cross sections for 1.37 GeV (lab) incident $\alpha $-particles on $^{12}$C and calcium isotopes $^{40,42,44,48}$Ca. The relativistic energy-momentum relation assures the need for relativistic calculations. As such, the previously determined parameters of all optical potential forms, used in the nonrelativistic Schrödinger equation and successfully analyzing the $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca data at 1.37 GeV, are to be revised. In the presence of Coulomb potential, as in the cases under consideration, the asymptotic solution of the Klein-Gordon equation differs from the corresponding one for the Schrödinger equation and the codes are modified accordingly.

Keywords

Alpha-nucleus potential, elastic scattering, high energy physics

First Page

199

Last Page

207

Recommended Citation

SHEHADEH, ZUHAIR FAYYAD MAHMOUD (2015) "A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV," Turkish Journal of Physics: Vol. 39: No. 2, Article 11. https://doi.org/10.3906/fiz-1502-4
Available at: https://journals.tubitak.gov.tr/physics/vol39/iss2/11