How do parities add up in a two-body system in the shell model?

[physics_fun]

I'm confused about how parities 'add up'.
(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?

 

[eys_physics]

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

 

[physics_fun]

Thanks!

 

[malawi_glenn]

Yes, parities are multiplied.