Why can't an alpha particle be captured by the nucleus?

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SUMMARY

The discussion centers on the inability of an alpha particle to be captured by a nucleus, primarily due to the frequent tunneling attempts by particles within the nucleus. The participant highlights the relationship between the velocity and size of the nucleus and the frequency of alpha particle interactions, utilizing dimensional analysis to derive hits per second. The conversation emphasizes that classical mechanics is inadequate for accurately describing the behavior of alpha particles in this context, as they do not behave as classical particles within the nucleus.

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  • Quantum tunneling concepts
  • Dimensional analysis in physics
  • Understanding of alpha particle behavior
  • Limitations of classical mechanics in quantum systems
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  • Study quantum tunneling and its implications in nuclear physics
  • Explore dimensional analysis applications in particle physics
  • Investigate the behavior of alpha particles in various nuclear environments
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Students and researchers in nuclear physics, physicists interested in quantum mechanics, and anyone seeking to understand the interactions of alpha particles within atomic nuclei.

rwooduk
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I understand that there are many attempts from inside the nucleus to tunnel out therefore if it was just one alpha particle trying to get in it wouldn't happen. I'm struggling with this derivation from class to describe the number of attempts:

I4F7bHz.jpg


How does a velocity and size of the nucleus result in the number of hits per second? It works with dimensional analysis i.e. m/s / m = 1/s ---> frequency.

But this hits per second has been derived from a single alpha particle. I'm a little confused. Any insights on this rough derivation and an explanation would really be appreciated.
 
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Oh, it ricochets back and forth, I see now. Please feel free to delete this. Although any comments are still welcome.
 
rwooduk said:
Oh, it ricochets back and forth, I see now.
Right.

Keep in mind that this evaluation is only a very rough approximation - there is not an actual alpha particle moving around in the nucleus as classical mechanics is not useful for systems like this.
 
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