The ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}(E_{\mathrm{lab}}=106\mathrm{} \mathrm{and} 167 \mathrm{MeV})+{}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ heavy-ion reaction is analyzed in terms of a modified version of the semiclassical scattering model of Broglia followed by an evaporation calculation. The deflection and energy loss functions are taken from recent time dependent Hartree-Fock calculations. The complete fusion amplitude vs the angular momentum $l$ is obtained phenomenologically. A comparison between the model predictions and experiment is made for the following quantities: the total integrated cross sections for production of a fragment with given $Z$, $\sigma \mathrm{}\left(Z\right)\mathrm{}$; energy distributions ${\left(\frac{d^2\sigma }{d\Omega \mathrm{dE}}\right)}_Z$ at fixed laboratory angle and fragment charge; angular distribution ${\left(\frac{d\sigma }{d\Omega }\right)}_Z$ at fixed fragment charge $Z$ and integrated over energy. The agreement is satisfactory. It is noted that the $Z$ spread observed in this reaction can be described by using only evaporation effects in the highly excited reaction fragments produced in the original inelastic collision.

NUCLEAR REACTIONS Theoretical analysis of the ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$+${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ reactions at $E=106\mathrm{} \mathrm{and} 167$ MeV. Semiclassical scattering model. Deflection and energy loss functions calculated from time dependent Hartree-Fock. Evaporation effects included.

• Received 7 April 1980

DOI:https://doi.org/10.1103/PhysRevC.23.2524