  We report on a theoretical study of a ring-shaped Bose-Einstein condensate
with Raman-induced spin-orbital-angular-momentum coupling. We analyze the
structure of the ground-state of the system depending different physical
parameters and reveal a peculiar fine structure within the stripe phase on the
phase diagram. We demonstrate the existence of the predicted stripe sub-phases
within a wide range of physical parameters, their traceability through physical
observables, and compare the results with several commonly used variational
approximations. We also show that predicted sub-phases of the stripe phase can
be observed within experimentally realizable conditions.
