Time period in which an interaction with a π-meson happens?

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SUMMARY

The discussion centers on the interaction time period of a π-meson in mediating the residual strong force between nucleons. It establishes that the interaction is influenced by virtual pions, which do not exist as real particles. The Yukawa potential is referenced as a key concept, illustrating how the range of interaction is inversely related to the mass of the exchange particle, specifically the π-meson. The assumption that pions move at velocities approaching the speed of light (v → c) is also highlighted as a critical factor in determining the interaction range.

PREREQUISITES
  • Understanding of quantum field theory and virtual particles
  • Familiarity with the Yukawa potential and its implications
  • Knowledge of the strong nuclear force and its mediators
  • Basic concepts of particle physics, specifically mesons and nucleons
NEXT STEPS
  • Research the properties and implications of the Yukawa potential in particle physics
  • Study the role of virtual particles in quantum field theory
  • Explore the characteristics and behavior of π-mesons in strong interactions
  • Investigate the relationship between particle mass and interaction range in quantum mechanics
USEFUL FOR

Particle physicists, theoretical physicists, and students studying quantum mechanics and the strong nuclear force will benefit from this discussion.

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The longer-range inter-nucleon force is not a direct result of the gluon field, but is indirectly affected by a quark-antiquark pair (meson).

If this ‘residual’ strong interaction between nucleons is mediated by a π-meson, then what is the maximum time period in which the interaction takes place?

If we assume that it moves at a velocity v → c, then what is the range of the interaction?

I'm not really sure how to tackle this problem...
 
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The pions in this model are virtual particles, they don’t actually exist.

You get a Yukawa potential, you can check how its range depends on the mass of the exchange particle.
 

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