Inclusive double differential multiplicities of deuterons, H-3, He-3, and H
e-4 measured by E877 for 11.5A GeV/c Au + Au collisions at the Brookhaven's
Alternating Gradient Synchrotron (AGS) are presented. Light fragments at b
eam rapidity are measured for the first time at AGS energies. Beam rapidity
deuteron and He-4 yields and transverse slope parameters are found to be s
trongly dependent on the impact parameter, and the shape of the deuteron sp
ectra is not consistent with that expected for a simple thermal distributio
n. The deuteron yields relative to proton yields are analyzed in terms of a
simple coalescence model. While results indicate an increase in source siz
e compared to collisions of lighter systems at the same energy, they are in
consistent with a simple coalescence model reflected by a rapidity dependen
ce of the coalescence parameter B-d. A new approach utilizing an expanding
thermalized source combined with a coalescence code is developed for studyi
ng deuteron formation in heavy-ion collisions. The strong dependence of deu
teron yields on collective motion implies that deuteron yields relative to
those of protons can be used for constraining source parameters.