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.