Dear Farzad,
براکت is called "bracket" in English and differs from braces. Would you please reread the definition of "dental braces" provided in wikipedia? Braces refers to the device as a whole, while brackets are one of its components. I would also like to give you two sentences from Wikipedia to prove my claim that bracket differs from brace:
1) In the case of traditional metal or wire braces, one uses brackets, bonding material, arch wire, and ligature elastic, also called an “O-ring”[2] to help align the teeth.
2)Traditional braces are mostly used in treating children, as well as, adults. They consist of a small bracket that is glued to the front of each tooth and the molars are adjusted with a band that encircles the tooth.
The following link is also informative since all the components of this device has been explained with their English equivalent.
http://www.draliheidari.com/20
Hope my explanation has been clear to illuminate the difference.