Applications to nuclear properties of the microscopic-macroscopic model based on the semiclassical Wigner-Kirkwood method

摘要

Some time ago we proposed a new microscopic-macroscopic model where the semiclassical Wigner-Kirkwood expansion of the energy up to fourth-order in. is used to compute the shell corrections in a deformed Woods-Saxon potential instead of the usual Strutinsky averaging scheme. For a set of 558 even-even nuclei computed with this new model, we found a rms deviation of 610 keV from the experimental masses, similar to the value obtained using the well-known finite range droplet model and the Lublin-Strasbourg drop model for the same set of nuclei. In this paper we analyze the alpha radioactivity in nuclei with mass number A similar to 100, finding good agreement with the available experimental results. We have also estimated spontaneous fission half-lives for superheavy nuclei in the region between Z = 102 and Z = 110. We find that our model predicts reasonably well the experimental half-lives in the considered nuclei, in spite of the fact that the fission barriers turn out to be somewhat too high.