Two identical protons occupy the same orbital ( ) outside a core.

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

Two identical protons occupy the same 1g9/21g_{9/2} orbital (j=92j=\tfrac92) outside a Jπ=0+J^\pi=0^+ core. ((a)) List the allowed values of the total nuclear spin JJ of this two-proton configuration. ((b)) The configuration is found in its J=2J=2 state. State the parity of this state. ((c)) For this state, list every static electric and magnetic multipole moment (charge monopole and above) that is allowed by parity and by the triangle rule, up to the largest allowed order.

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