Imagine you have a bunch of particles, like marbles, and you want to see how they bounce off each other. That's what scattering is. And when you want to measure how likely it is for the marbles to bounce off each other in a particular way, that's called the scattering amplitude.
It's kind of like trying to predict how a ball will bounce off a wall. If you know how fast the ball is traveling and the angle it hits the wall, you can make a good guess about how it will bounce back. In the same way, scientists use the scattering amplitude to predict how particles will bounce off each other based on certain conditions, like how fast they're moving and the angle at which they collide.
The scattering amplitude is important in physics because it can tell us a lot about the properties of particles and how they interact with each other. By studying the scattering amplitudes of different particles, scientists can learn more about the fundamental forces that govern the behavior of matter in the universe.