PLEASE HELP. VB particle sim. Rate of neutrilization of charge

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SUMMARY

This discussion focuses on the rate of charge neutralization in a VB particle simulation involving point charges, specifically electrons and positrons. The lifetime of positronium in the 3S1 state is approximately 140 nanoseconds, while in the 1S0 state, it is about 125 picoseconds. For protons interacting with electrons, the initial capture occurs in a high orbital state (n,l) within approximately 10^-12 seconds, but the transition to the 1s state can take significantly longer, with lifetimes of 610 nanoseconds for the 6h state and 1.6 nanoseconds for the 2p state. The neutralization rate is highly context-dependent, influenced by the specific particle interactions involved.

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  • Understanding of charged particle dynamics
  • Familiarity with VB (Visual Basic) programming
  • Knowledge of atomic orbital theory
  • Basic concepts of particle physics, particularly positronium
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  • Study the dynamics of charged particle interactions in simulations
  • Explore the implications of orbital lifetimes on particle capture rates
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Physics students, particle simulation developers, and anyone interested in the dynamics of charged particle interactions in computational models.

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I'm making a basic charged particle sim in vb, and need to know the rate at which a charge will neutrilize if it comes in contact with a particle with an opposite charge, assuming both particles are perfectly cylindrical and of infanitesimal size.
 
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The most infinitesimal (smallest) point charges I know are the electron and positron. They get captured in the positronium atomic orbitals with high (n,l), and cascade down to the 1s atomic state before annihilating (mutual neutralization). The lifetime of positronium in the 3S1 state is about 140 nanoseconds, and 125 picoseconds in the 1S0 state.
However, if a proton stops in a solid, it very quickly captures an electron in a high orbital (n,l) state (estimates are about 10-12 sec), but it takes a long time to cascade down to the 1s state. The lifetime of the 6h state is 610 nanoseconds, and 1.6 nanoseconds for the 2p state. So for charged ions, it really depends on the specific situation.
 

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