From what I can tell you are on a 767 with the new flat bed seats. This is a video of what the configuration looks like (I think).
http://blog.delta.com/2009/08/26/vid...lat-bed-seats/
I don't see a partition. Just flew to Sydney on the 777L and that herringbone configuration is quite different with much more separation between the middle seats.
Clipper Delta beat me.