A nuclear charge distribution is fitted with a central nucleon density
PHYSICS · Multi-part · Fermi University Physics · Nuclear Physics · The nuclear force and nuclear models · The nuclear force and nuclear models
The Nucleus Resolved, Ch The shell model: a mean field, a spin-orbit term and the magic numbers
Problem
A nuclear charge distribution is fitted with a central nucleon density ρ0=0.17fm−3, and the corresponding neutron separation energy is Sn=8.5MeV. Treating the nucleons as a degenerate Fermi gas of nucleon rest mass energy mc2=939MeV, find
((a)) the Fermi wavenumber kF,
((b)) the Fermi energy ϵF,
((c)) the depth V0=ϵF+Sn of the mean-field well.