Using Lyman-alpha spectroscopy we observe photoassociation of spin-polarize
d hydrogen atoms to bound vibrational levels of the triplet a(3)Sigma(g)(+)
potential. At a density of 10(16) atoms/cm(3) we directly observe light ab
sorption and fluorescence in the photoassociation process. The observed lin
e positions agree with ab initio calculations to within the precision of pr
esent theory. Magnetic sublevels in the photoassociation spectra indicate a
n effective internal held which we identify with a nonadiabatic term in the
Hamiltonian. We present quantitative models for the magnetic field depende
nce of the molecular energy and the photoassociation line shape.