For a polarized deuteron the probabilities for different spin configurations within the deuteron are quite distinct. In the following 5 probabilities are shown as function of the relative momentum between the neutron and proton inside the deuteron. Red indicates highest probability, blue lowest.

Probability Density for both nucleons having their spin up:

:  

Probability Density for both nucleons having their spin down:



Probability Density for one nucleon having spin up and the other spin down: (equidensity surfaces)



Probability Density for one nucleon having spin up while the other one has arbitrary spin orientation:  



Probability Density for one nucleon having spin down while the other one has arbitrary spin orientation:  



Publication: I. Fachruddin, Ch. Elster, W. Glöckle, New Forms of Deuteron Equations and Wave Functions Representations, Phys. Rev. C62, 044002-1 (2000). The authors thank H. Schumacher from NIC/ZAM for his assistance with visualizations.