A nucleon occupies an orbital with (a orbital) coupled to its spin .

PHYSICS · Multi-part · Fermi University Physics · Quantum Mechanics · Nuclear Physics · Nuclear constituents, size and binding

The Nucleus Resolved, Ch Spin, parity and the electromagnetic moments of a nucleus

Problem

A nucleon occupies an orbital with

\ell = 4

g

orbital) coupled to its spin

s=\tfrac12

. ((a)) List the allowed values of

j

. ((b)) Evaluate

\langle\vec\ell\cdot\vec s\rangle

, in units of

\hbar^2

, for each allowed

j

. ((c)) A single proton occupies the

1g_{9/2}

orbital outside a

J^\pi=0^+

core. State the parity of this configuration. ((d)) Calculate the Schmidt value of the magnetic dipole moment of this proton, using

g_\ell=1

and

g_s=5.586