# Parity of two body system

## Main Question or Discussion Point

(I'm using the shell model of a nucleus)
If you have e.g.a neutron in a d state (so l=2) and one in a p state (l=1), what is the parity of the total system? Do you have to multiply (+1*-1=-1?) or add the l values or something completely different?

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Hey
The parity $$\pi$$ for a state is $$(-1)^{l}$$ The total parity is
$$\pi_{1}*\pi_{2}$$ or
$$(-1)^{l_{1}+l_{2}}$$

Thanks!

malawi_glenn