How does one find interaction radius for Coulomb barrier?

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SUMMARY

The interaction radius for the Coulomb barrier in nuclear physics can be calculated using the formula U = k Z1Z2 e2 / r, where r represents the interaction radius. For a proton striking an atomic nucleus, r is typically the sum of the nuclear radii of the proton and the target nucleus. This calculation is essential for understanding the electrostatic potential between two electric charges at distance r, particularly in applications like the Cockcroft-Walton accelerator.

PREREQUISITES
  • Understanding of Coulomb's Law
  • Familiarity with nuclear radii concepts
  • Basic knowledge of electrostatic potential
  • Experience with particle accelerators, specifically Cockcroft-Walton accelerators
NEXT STEPS
  • Research methods to calculate nuclear radii for various elements
  • Explore advanced applications of Coulomb barrier calculations in nuclear physics
  • Learn about the role of electrostatic potential in particle acceleration
  • Investigate the Cockcroft-Walton accelerator's design and operational principles
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Physicists, nuclear engineers, and students studying particle physics or accelerator technology will benefit from this discussion.

eigenmax
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For a proton striking an atomic nucleus (in a Cockcroft-Walton accelerator, for example), the Coulomb barrier must be overcome. The calculation of the Coulomb barrier is U = k Z1Z2 e2 / r
r is interaction radius. How can I find that? For a proton to enter the atomic nucleus what would it be?
 
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It is simply the electrostatic potential for two electric charges at distance r. What is unclear?
r will typically be about the sum of the nuclear radii, there are formulas to estimate that.
 
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mfb said:
It is simply the electrostatic potential for two electric charges at distance r. What is unclear?
r will typically be about the sum of the nuclear radii, there are formulas to estimate that.
Ok, thank you! So it ought to be the radius of the proton + the target radius. Thank you!
 

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