QQ paired board with only A top split pair? hoping to chop the pot...

[maverickai]

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PokerStars 0.05/0.10 Hold'em (10 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is Button with A[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/spade.gif[/img].
<font color="#666666">2 folds</font>, UTG+2 calls, <font color="#666666">1 fold</font>, <font color="#CC3333">MP2 raises</font>, <font color="#666666">2 folds</font>, HERO calls, SB calls, BB calls, UTG+2 calls.

Flop: (10 SB) Q[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, BB checks, <font color="#CC3333">UTG+2 bets</font>, <font color="#CC3333">MP2 raises</font>, HERO ??

call and hope to chop the pot? I've just finished the chapter on identifying hidden outs, especially those that can actually cause a tie at showdown.

As far as I remember, I dun really recall how to factor chopping the pot into my betting actions. Would calling down be good just to hope to chop the pot?