1. The statements in Sec II-B seem too weak. It describes the three models under study, shows that all of them have large reduced chi-square, and then simply chooses the least worse model, which is not very convincing. We need to explain why this model is acceptable, at least for the purpose of this work (e.g., the radial fringes in the outer region may not be of interest in this work) since the remaining parts of the paper all depend on the adopted model.
In addition, the inner halo does not fit well for Halo A (see Fig. 1), which is not addressed in the text. Is it because this smaller halo has a stronger interaction between the inner halo and soliton? However, note that this halo still has a mass of 2.2e10 Msun.