Cheshire Cat 7 components model

In this model, instead of a single profile representing a BCG, I use a combination of Sersic and nfw. the NFW associated with the BCG is not fixed on the BCG.

Setup:

group halos initially near the BCGs, their positions are free. initial ellipticity at 0.3, and PA at E-W direction, e and PA can varies with a sigma of 0.1 and 10deg respectively

BCG (light): Sersic, all parameters are fixed except mass and half-light radius.

BCG (dark matter): nfw all parameters are free. Conditions are set to ensure a sensible solution from glafic. such as: ellipticity at 0.5 +/- 0.2, & P.A. E-W direction and can differ by 40 deg.

Result:

In this first run, I found that the group halos continue to displace inward compare to the BCGs.

Delens-relens result slightly improve compare to the 2 halo model.

Delensing- relensing A1 reproduce all images accurately

Delensing-relensing B, reproduce accurately but also predict lensing counterparts, as identified by Sharon.

Delensing-relensing C: similar to previous models

source E: also as expected

source G

predicted image of G2 is longer than expected, this can be mitigated by considering the nose as a lens ( currently the nose is not considered as member galaxies).

source Z as expected

Other details:

the NFW profiles of the 2 BCGs are very elliptical, at 0.57 and 0.63. Groups are 0.04 and 0.3 repsectively.