"Da" is not a particle but a copula or a conjugational suffix of -na adjectives as same as "desu." However, "desu" can be an unconjugational auxiliary verb, too. This "desu" can't be replaced by "da."
e.g.
○日本語は難しいです。
Nihongo wa muzukashii desu.
×日本語は難しいだ。
Nihongo wa muzukashii da.