  T Tauri stars produce broad Lyman-alpha emission lines that contribute
$\sim$88% of the total UV flux incident on the inner circumstellar disks.
Lyman-alpha photons are generated at the accretion shocks and in the
protostellar chromospheres and must travel through accretion flows, winds and
jets, the protoplanetary disks, and the interstellar medium before reaching the
observer. This trajectory produces asymmetric, double-peaked features that
carry kinematic and opacity signatures of the disk environments. To understand
the link between the evolution of Lyman-alpha emission lines and the disks
themselves, we model HST-COS spectra from targets included in Data Release 3 of
the Hubble UV Legacy Library of Young Stars as Essential Standards (ULLYSES)
program. We find that resonant scattering in a simple spherical expanding shell
is able to reproduce the high velocity emission line wings, providing estimates
of the average velocities within the bulk intervening H I. The model velocities
are significantly correlated with the K band veiling, indicating a turnover
from Lyman-alpha profiles absorbed by outflowing winds to emission lines
suppressed by accretion flows as the hot inner disk is depleted. Just 30% of
targets in our sample have profiles with red-shifted absorption from accretion
flows, many of which have resolved dust gaps. At this stage, Lyman-alpha
photons may no longer intersect with disk winds along the path to the observer.
Our results point to a significant evolution of Lyman-alpha irradiation within
the gas disks over time, which may lead to chemical differences that are
observable with ALMA and JWST.
