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=60 and N=82 (so A=142). Note that N=82 is a magic number, while Z=60 lies roughly midway between the magic numbers 50 and 82.
((a)) Say which of Z or N is more likely to fix where the single-particle energy gap sits in β2 for this nuclide, and at what value of β2 a magic-number gap normally sits.
((b)) Predict whether the ground state of this nuclide is spherical or deformed, and contrast the reasoning with a mid-shell case such as Z=66, N=98.