 Solution

ID: past-exam-of-the-particle-and-nuclear-physics-course-of-the-university-of-cambridge/2014/paper-1/4/b/i/solution

An electric multipole has radiation parity

(- 1)^{L}

and a magnetic multipole parity

(- 1)^{L + 1}

mode J_{γ}^{P} E 1 1^{-} E 2 2^{+} E 3 3^{-} M 1 1^{+} M 2 2^{-} M 3 3^{+} .

Equivalently, an

E L

transition requires

π_{f} / π_{i} = (- 1)^{L}

, while an

M L

transition requires

π_{f} / π_{i} = (- 1)^{L + 1}

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