Fusion and interaction barrier parameters and critical angular momenta fromCl35-induced reactions

Abstract

Cross sections for evaporation residue formation and fission following complete fusion of ${}_{}{}^{35}{}_{}{}^{}\mathrm{Cl}$ with ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}$, ${}_{}{}^{54,56}{}_{}{}^{}\mathrm{Fe}$, ${}_{}{}^{58,60,62,64}{}_{}{}^{}\mathrm{Ni}$, ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$, and ${}_{}{}^{116,124}{}_{}{}^{}\mathrm{Sn}$ have been measured with counter telescopes for laboratory projectile energies between 70 and 170 MeV. Elastic scattering of ${}_{}{}^{35}{}_{}{}^{}\mathrm{Cl}$ + ${}_{}{}^{58,62}{}_{}{}^{}\mathrm{Ni}$ has been measured near the interaction barrier. The excitation functions for complete fusion are analyzed with a semiclassical model, and fusion barrier heights and radii are extracted. These data are discussed in terms of the nuclear density overlap and the nuclear potential contributions to the fusion barrier. The results are compared with the predictions of several heavy ion potential models and with parameters for the interaction deduced from elastic scattering data. For the systems with masses $A<\mathrm{}100\mathrm{}$ about 70% of the total reaction cross section appears as complete fusion. This fraction decreases with increasing mass of the compound system. Evaporation residue and fission excitation functions have been analyzed by the Bohr-Wheeler model using the rotating liquid drop model of Cohen, Plasil, and Swiatecki. To first order these calculations give a satisfactory description of both sets of results.