High-precision laser absorption spectroscopy in a thermal vapor cell i
s used in the measurement of the ratio of the D-line transition streng
ths in the cesium atom. We find \[6p(2)P3/2\\(r) over right arrow\\6s(
2)S(1/2)]\(2)/ \[6p(2)P1/2\\(r) over right arrow\\6s(2)S(1/2)]\(2) = 1
.9809(9), which compares favorably with the ratio calculated from the
most precise lifetime measurements of these states and the predictions
of nb initio calculation. We also verify the predictions of impact-re
gime line-broadening calculations for densities of order 10(18) atoms
per m(3). Theoretical implications and future experimental promise are
discussed. [S1050-2947(98)05008-2].