Si30+N14radiative capture

Abstract

Cross sections for the reactions $^{30}\mathrm{Si}(^{14}\mathrm{N},\ensuremath{\gamma})^{44}\mathrm{Sc}^{m}$ and $^{30}\mathrm{Si}(^{14}\mathrm{N},n)^{43}\mathrm{Sc}$ have been measured at five bombarding energies in the 40 to 62 MeV range. Residual activities produced by the reactions are unique and sufficiently long-lived so that the reaction yields in thick targets of natural Si were measured off-line with a Ge(Li) detector. By unfolding the range-energy function, the cross sections were extracted from the yields. The capture cross section increases from 7.5 to 22 \ensuremath{\mu}b over the bombarding energy range. The cross section for single neutron emission is 75 \ensuremath{\mu}b and constant within the errors of this experiment. A Blann-Plasil code calculation resulted in a value that is a factor of ${10}^{3}$ lower. The experimental results have been analyzed to determine an upper limit on the moment of inertia of the excited compound nucleus. Values of the upper limit depend on the choice of optical model parameters and the radius parameter in the moment of inertia.NUCLEAR REACTIONS $^{30}\mathrm{Si}$ + $^{14}\mathrm{N}$, $E=40\ensuremath{-}62$ MeV; measured yields of activation products $^{43}\mathrm{Sc}$ and $^{44}\mathrm{Sc}^{m}$; calculated cross sections and limits on the moments of inertia. Natural targets, Ge(Li) detector.