I have written in the past about the importance of Disconnect Zones or periods in the day where you"unplug" from your phone but what about asking,
Tool or Toy?
Today's powerful phone IS a computer more than a phone and if you are on it all the time HOW do you get anything ELSE done?
I think you should do more than put the notification just to vibrate.
You should put it AWAY from you from time to time, even in the business day. Away from a pocket or purse, perhaps in a drawer or another room.
The smartphone should have YOU in control, a tool predominantly for functions, email, text, voice, apps BUT occasionally a toy, fun on social media or games or family photo taking etc. WHERE the toy gets you in trouble is inordinate amount of time with distraction or wasting time. Looking at Facebook in a slow grocery line or after a morning coffee I get that. BUT when you have much higher priority away from the phone activities you need to do, like they say with not texting and driving, IT CAN WAIT.
GRAB control of phone as TOOL in your day and PUT IT AWAY FROM YOU. You might break that prideful record of picking up every call on the first ring, or texting someone back in two minutes, BUT trust me, the world will still go on.