We study radial symmetric point defects with degree \({k \over 2}\) in the 2-D disk or ℝ2 in the Q-tensor framework with a singular bulk energy, which is defined by Bingham closure. First, we obtain the existence of solutions for the profiles of radial symmetric point defects with degree \({k \over 2}\) in the 2-D disk or ℝ2. Then, we prove that the solution is stable for ∣k∣ = 1 and unstable for ∣k∣ > 1. Some identities are derived and utilized throughout the proof of existence and stability/instability.
