This The Mentalist screencap contains
bouquet, corsage, posy, nosegay, bégonia, begonie, and boîte de fenêtre.
There might also be
côte rhododendron, rhododendron californicum, rhododendron de la côte, rhododendron de côte, oleander, baie rose, nerium oleander, laurier-rose, laurier rose, laurier-nerium, baie, laurier-rose de nerium oleander, rose, hippeastrum, and hippeastrum puniceum.
The writers and actors don't want those two to get together. In fact, they laugh at the fans that want them to. Which personally I find a bit rude, but I won't get into that. Anyway, their reasoning for them not getting together (at least right now) is "they have plus of a brother/sister relationship."
I'm sorry, but every time someone is trying to make an argument for why two people shouldn't be a couple, it's always either "they have no chemistry" ou "they have a brother/sister relationship." But I've never seen anyone deny Jane and Lisbon's chemistry, so I won't focus...