# How to sum distributions

1. Apr 13, 2010

### eoghan

Hi there!
I have to find the angular distribution of a decay where I suppose I don't know if the parity is conserved. I made my calculus and I found that I have two possible final states, one with total angular momentum L=0, m=0 and one with L=1, m=1. Now I have to find the total angular distribution of the particles produced: I know that in the first state the eigenstate is Y(0,0) (Y(l,m) is the spherical harmonic), while in the second one the eigenstate is Y(1,1). How do I find the total distribution? Should I sum
$$|Y^0_0|^2+|Y^1_1|^2$$
or should I sum
$$|Y^0_0 + Y^1_1|^2$$?
In either case I don't find a normalized distribution
Thanks