On the contrary....LL Inc., says a batter shall not be called "out" for throwing a bat after hitting a pitched ball.
Ref: LL publication... "Make The Right Call"....page 25.
There are (probably) as many different ways to handle the situation as there are the number of LL umpires on these boards; but calling a batter "out" is not one of them.
Rule 6.05 through 6.07 cover the situations where a batter is Out.
There's nothing there about throwing the bat.
It's NOT an Out and the Umpire can't use 9.01(c) to call it one.
The Umpire can warn/eject the player, but that's up to the Umpire.
Actually had this happen in a recent All-Star tournament game, except the batter bunted the ball & more dropped his bat than threw, into fair territory nearly hitting the ball. LL rules state that there is no real penalty for "throwing the bat" as described in several posts, but in this case of the bunted ball & bat landing in fair territory, the call is "if the PU felt the batter's intent was to interrupt or effect the play on the ball (I'm paraphrasing)" he can call the batter out. In our case the bat did not actually hit the ball (it ended up landing 3-4 inches behind the ball) and the catcher throwing the batter out.
For the throwing of the bat, I agree with a previous posts, that at the least a warning from the PU is in order/appropriate.
"Throwing the bat is NOT an out" - well, that's not ALWAYS true!!
If the batter intentionally throws the bat and it interferes with a fielder, the batter is out for interference.
Doesn't happen very often but you never know!
In fact I once call INT under those circumstances.
B1 bunted and then did a chest pass of the bat right into F2's body! No problem judging intent there! But of course the rule was definitional INT, not something about throwing bats.
I am in total agreement with you guys. If there is intent to INT the PU can call the batter out. But a simple throwing of the bat, however egregious, should, at least draw a warning.