PHYSICS · Multi-part · Fermi University Physics · Nuclear Physics · The nuclear force and nuclear models · The nuclear force and nuclear models
The Nucleus Resolved, Ch Collective motion: the deformed nucleus, vibrations, rotations and giant resonances
Problem
Consider the nuclide with Z=66 and N=98 (so A=164). The magic numbers are 8,20,28,50,82,126.
((a)) State how far Z=66 and N=98 each lie from the nearest magic numbers, and say whether A=164 falls inside the rare-earth deformed region (A≈150 to 190).
((b)) Using the idea that the lumpy part of the single-particle energy is most negative where the nucleon number sits in a Nilsson gap that opens at non-zero β2, predict whether the ground state of this nuclide is spherical or deformed, and justify briefly.