So i dropped a coffee cup 15 mins ago and i tried to catch it before it hit the counter but it broke in half before i got to it and i felt a sharp pain in my lower part of my thumb; lots of blood came out and was squirting out 3inches or so. got a paper towel on it and it soaked up a lot of blood(there was no white in the paper towel). after the 2nd towel it stopped bleeding. Is there like an artery or something in the thumb? dont know why it would squirt out like that. the cut is about 1/3 an inch deep give or take and hurts when i move it. currently put some antibiotic ointment and a bandaid on it after i cleaned all the blood off my hand. is this all i need to do and wait for it to heal? or does it require medical attention?