Break surface body into 2 halves

I have a surface body made up of several surfaces knittedtogether.
After constructing the shape, I need to split this body into 2sections.
I tried the Split Line tool and it seems to have split the body. Inthe graphics screen, I can click on individual surfaces and theyhighlight as split.
But in the feature tree, it is still listed as a single surfacebody. I would like 2 separate bodies.
I then tried to use the surface trim tool, but I couldn't keep bothhalves of the body, like a break instead of a trim.
Is there a way to break a surface body and keep both halves?
I'm thinking now I would need to make configs of 2 trims, eachkeeping one half or the other and suppressing one at a time.

SolidworksSurfacing