Abstract
Different descriptions of the reaction $^{28}\mathrm{Si}$ ($^{13}\mathrm{C}$, $^{12}\mathrm{C}$) $^{29}\mathrm{Si}$ at 36 MeV leading to the ground and first excited states of $^{29}\mathrm{Si}$ are examined. Sensitivity of the reaction cross section to various families of optical parameters is investigated and the so-called "surface transparent potential" is used as an alternate treatment. Exact finite-range distorted-wave Born approximation and coupled-channels Born approximation analyses of the reaction are performed, showing that the coupled-channels Born approximation analysis, even in its presently restricted form, leads to an improvement over the distorted-wave Born approximation predictions.NUCLEAR REACTIONS $^{28}\mathrm{Si}$ ($^{13}\mathrm{C}$, $^{12}\mathrm{C}$) calculated cross sections using exact finiterange CCBA with "surface transparent potential."
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