three body problem
I have a problem to solve:
Suppose I have an orbital with angular momentum of single-particle J=5/2 (then M=+-5/2, +-3/2, +-1/2), and I have to write the ground-state of system with three particles.
To do this I have to couple the three angular momentum like J=j_1+j_2+j_3, in order to write eigenstates of J. I tried to do this but I didn't able to obtaine anti-symmetric wave-function (there would be some states, like J=5/2 all projections composed by two or three Slater's determinants).
Someone can help me by calculating this for me? Or someone know an utility or computer program to perform this calculations?