A neutron is trapped inside a light nucleus of radius fm
PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Central potentials and canonical three-dimensional systems · Central potentials and canonical three-dimensional systems
Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The Schrödinger equation in three dimensions and central potentials
Problem
A neutron is trapped inside a light nucleus of radius 4.5 fm. Model the nucleus as an infinite spherical well: the potential energy is V=0 for r<4.5 fm and infinite outside, and the neutron does not interact with anything else. Estimate the energy of the lowest level of the well (the l=0, n=1 state).Take ℏ2/2mn=20.7 MeV fm2.