Orientation effects on evaporation residue cross sections inCa48-induced hot fusion reactions

Abstract

Within the framework of the dinuclear system model, the evaporation residue (ER) cross sections of superheavy nuclei in $^{48}\mathrm{Ca}$-induced hot fusion reactions with different entrance orientations are investigated. The production cross sections are obtained by calculating the average ER cross sections for different orientations of deformed colliding nuclei. The average results are in good agreement with the experimental data. The orientation effects on ER cross sections are investigated through studying the orientation dependence of the capture cross sections and the fusion probability. It is found that the fusion probabilities with the polar orientation of the target are higher than those with the equatorial orientation at lower incident energies, while the opposite behavior can be seen at high incident energy regions. The production cross sections for synthesizing $Z=119$ and 120 by fusion reactions of $^{48}\mathrm{Ca}$ with actinide targets are predicted.