Nuclear deformation parameters of Sn isotopes

The meanfield model based on Skyrm Forces (SF) or associated density function has a wide application to describe nuclear states, collective vibrational excitation, and heavyion collisions. The Sky3D solves static or dynamic equations on a Cartesian 3D mesh with isolated or periodic boundary conditions without further assumptions on the symmetry which shows more characteristics of the structure of nuclei. In ‎the ‎present‎ work, timedependent HartreeFock Skyrm (TDHF) calculations were completed on a set of Sn isotopes to obtain and compare the nuclear deformation parameters in static and dynamic states. It was found that in deficient neutron nuclei, even the most modern particle calculations unable to describe the improved collectivity below the mean shell in Sn approaching ‎‎N= Z= 50‎‎.  It was shown that the effective interaction plays an important role in the details of the reaction, and carries information about the heavyion reactions to the details of the effective interaction.