Its is your 3-point sway bar / stabilizer bar. They are both generic and specific to LS. Depends on what you want to do. If you want the one you broke, you will need to contact your dealer. They come is all different sizes and styles. This style has pins that hold the linkage in place. Others have turn buckles for the adjustment. They come in different thickness and lengths. If you replace that one with a generic one, you will need to replace the other side.
Come to think of it, I am not sure how the end connects to the arm. I think it's a welded pin? So, you might be better off getting the LS one.