We study soliton solutions of a two-dimensional nonlocal NLS equation of Hartree-type with
a Bessel potential kernel. The equation models laser propagation in nematic liquid crystals.
Motivated by the experimental observation of spatially localized beams, see [CPA03], we show
existence, stability, regularity, and radial symmetry of energy minimizing soliton solutions in
R2. We also give theoretical lower bounds for the L2−norm (power) of these solitons, and show
that small L2−norm initial conditions lead to decaying solutions. We also present numerical
computations of radial soliton solutions. These solutions exhibit the properties expected by the
infinite plane theory, although we also see some finite (computational) domain effects, especially
solutions with arbitrarily small power.