Did you just come up with your own solution...don't trade 2nd half of the day? Why do you have to "keep doing trades"? If you must trade during "non eventful" hours, what about fading type setups (mean reverting)?
This is definitely something almost all traders experience. Traders remorse and traders discipline. Keep a trading journal and read it when you feel that your deviating from your trading pattern or strategy.
Because I'm quite lazy and I know that if I allow myself to trade less, this might result in me starting to slack off even when I should put all concentration in trades So my question is not how to define my most effective hours (I know them already), but how do I make the second half of a day more productive. That's where I'm expecting to find ways to increase profits.