A separate density fit for another nucleus gives 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 separate density fit for another nucleus gives a central nucleon density ρ0=0.155 fm−3\rho_0 = 0.155\,\mathrm{fm^{-3}}. Using the free Fermi-gas model (nucleon rest mass energy mc2=939 MeVmc^2 = 939\,\mathrm{MeV}), find ((a)) the Fermi energy ϵF\epsilon_F, ((b)) the kinetic part of the asymmetry-energy coefficient, ϵF/3\epsilon_F/3, ((c)) the fraction of the fitted liquid-drop value aA=23 MeVa_A = 23\,\mathrm{MeV} that this kinetic term alone accounts for.

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