Other than a pin? I see this trick in a lot of my games. (Ignore the white bishops, they're not supposed to be in the diagram)

 

I would simply say that a3 is hanging (or en prise) because of the (absolute) pin of b2 by the queen. I don't think there's a special name for this, but perhaps there should be! Suggestions?

There isn't any name for that... Atleast not that I know of...

It's just a simple tactic. If we should name it however, then

ummm...

The mate threat pin trick?

The Hanging pawn pin trick?

The Pin that got the Pawn (or Rook depending on the situation) :P

It's taking advantage one of those terrible rules in chess "You can not place your own King in check". It's almost as bad as the "you can't move your pawns backwards" rule!

1..bxa3 2.Bxb6?

is this a real game you had or is it just an accidently placed bishop?

the trick is common but doesnt have a name 

edit: sorry didnt see the () on the bishops

This is a tactic to exploit a cross-pin.  After ... Bxa3, the b2 pawn is pinned along the file against the King and against the Rook on the diagonal.  The added threat of mate forces White to choose the lesser of two evils and give up the Exchange with 2 b3.

But no, it doesn't have a special name like some other traps do.

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 And that, folks, is just the kind of snarky, holier than thou comment that Rosequeen usually goes for

When it happens to me, I usually say, "oh, dammit!" so it should be called the "Oh Dammit Manouver" (or "Manouvre" for the British).

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 I think you mean "maneuver" (or "manoeuvre" for the British) 

Anyway, if I was white I'd leave the 2 bishes  on the board and grab the black Queen as soon as he made that capture on a3 and refute the tactic totally!

Yeah, I think it is called "hanging queen".

I can't spell in any langridge!

Using the definition loosely you could call it a skewer... by threatening mate in the front black picked up the rook that's behind.

I like to call it fun with the bfile.  so you're a BFiler.

That is a nasty tactical maneuver needs a name how about the " ROSEQUEEN PATZER STOMP " and oh yeah i got your Happy New Years BUDDY! SORRY i just got carried away later morons !!!!!!!!! LOL