Why do we integrate over the relative momentum of interacting particles?

In summary, the interaction of particles involves the way in which particles interact with each other through various forces. This is achieved through the exchange of force-carrying particles and can be attractive or repulsive. Energy plays a crucial role in particle interactions as it is required for particles to interact with each other. Not all particles are affected by the same forces, as different forces only affect specific types of particles. The study of particle interactions helps us gain a deeper understanding of the universe and has practical applications in various fields.
  • #1
Hluf
22
0
When we describe the amplitude of two interacting particles, we are integrating w.r.t the relative momentum of the particles. Why we do this?
Thank you all of you.
 
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  • #2
Because that is how you work it out.
Did you have another way in mind?
 
  • #3
Because you integrate over the propagator momentum transfer... the propagator will propagate the momentum from one particle to the other, but its momentum transfer q can take any value...
So you integrate over it to take all possible momenta??
Maybe I;m wrong, without seeing the actual formula...
 

FAQ: Why do we integrate over the relative momentum of interacting particles?

1. What is the interaction of particles?

The interaction of particles refers to the way in which particles, such as atoms and subatomic particles, interact with each other through various forces, such as electromagnetic, strong nuclear, and weak nuclear forces.

2. How do particles interact with each other?

Particles interact with each other through the exchange of force-carrying particles, also known as bosons. These interactions can be attractive or repulsive, depending on the type of particle and the force involved.

3. What is the role of energy in particle interactions?

Energy plays a crucial role in particle interactions as it is required for particles to interact with each other. In some interactions, energy is exchanged between particles, while in others, energy is conserved.

4. Are all particles affected by the same forces?

No, not all particles are affected by the same forces. For example, only particles with electric charge are affected by electromagnetic forces, while only particles within the nucleus are affected by strong nuclear forces.

5. How does the study of particle interactions benefit us?

The study of particle interactions helps us understand the fundamental building blocks of the universe and how they interact with each other. This knowledge has practical applications in fields such as technology, medicine, and energy production.

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