Semiclassics for superheavy elements

摘要

A semiclassical treatment for the fusion process near the Coulomb barrier is carried out. The interaction barrier is calculated by using the asymmetric two centre shell model and it fits nicely to a quartic double barrier. The generalized Bohr-Sommerfeld quantization condition for quartic oscillator gives an eigenvalue spectrum. The energy level in that spectrum, just below the continuum domain, refers to the maximum excitation energy E-max(*) carried by the resulting compound nucleus and fall fairly well within the observed limit. The shell structure of the colliding partners plays an important role in fixing the E-max(*). Further, the phenomenon of mass transfer between the reaction partners is Studied by solving the time dependent Schrodinger equation in eta degree of freedom. These results confirm that a vigorous mass transfer occurs in case of doubly magic reaction partners and the resulting compound nucleus is formed with lesser energy. Calculations are made for superheavy elements No-256(102) and (258)(104)Rf.