- #1

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## Homework Statement

Show Γ(ρ

^{0}→π

^{0}γ) = Γ(ρ

^{+}→π

^{+}γ)

Using G- and isospin symmetries, without exact calculating the matrix elements using additive quark model.

## Homework Equations

L = j

_{μ}A

^{μ}

G = CR

^{180}

_{2}

M

_{if}≅ <π|j

_{μ}|ρ>e

^{μ}

j

_{μ}=2/3 * (anti u)γ

_{μ}u - 1/3 * (andi d)γ

_{μ}d)

## The Attempt at a Solution

M

_{if}≅ <π|G

^{-1}Gj

_{μ}G

^{-1}G|ρ>e

^{μ}

j

_{μ}= j

_{μ}

^{S}+ j

_{μ}

^{A}

Gj

_{μ}G

^{-1}= j

_{μ}

^{S}- j

_{μ}

^{A}