Difference between effective area and actual area

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SUMMARY

The discussion clarifies the distinction between effective area and actual area in the context of the Total Collisional Cross-Section. The effective area is defined as the area normal to the direction of incidence that a target presents to an incoming projectile, influenced by the fields generated by the target. In contrast, the actual area refers to the physical space occupied by the target, such as approximately ten femtometers for a bare nucleus. Consequently, the effective area is larger than the actual area due to the influence of these fields on incoming projectiles.

PREREQUISITES
  • Understanding of Total Collisional Cross-Section
  • Knowledge of nuclear physics, specifically the dimensions of atomic nuclei
  • Familiarity with the concept of effective cross-sections in particle physics
  • Basic grasp of field theory and its implications on particle interactions
NEXT STEPS
  • Research the mathematical formulation of Total Collisional Cross-Section
  • Explore the role of electromagnetic fields in particle interactions
  • Study the implications of effective area in collision experiments
  • Investigate the differences between various types of cross-sections in nuclear physics
USEFUL FOR

Physicists, particularly those specializing in nuclear and particle physics, as well as students seeking to understand the principles of collision dynamics and effective cross-sections.

blueyellow
it is said that the Total Collisional Cross-Section is the effective
area, normal to the direction of incidence, provided by a
target to an incoming projectile.

what is the difference between effective area and actual area?
 
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The actual area is what you'd compute by considering the actual region of space that the target occupies. So for a bare nucleus, this might be on order of ten femtometers. The effective area includes the effects of the fields that the target acts as a source for. An incoming projectile will usually encounter the effects of such fields well before it gets very close to the target, so the effective area for collisions is larger than the actual area.
 

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