1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hydrogen atom, muon substitution

  1. Sep 13, 2010 #1
    1. The problem statement, all variables and given/known data
    Substitute an electron in a neutral hydrogen atom with a muon.
    a) calculate the Bohr radius of the ground state for this myonic atom of atom. The answer must be right to at least 2 significant digits.
    b) Calculate the fraction of the myon that is located inside the proton, which can be assumed to have radius of 1.3fm.
    c) Helium can not form negative ions with electrons, although hydrogen can. Is it possible to form negatively charged helium atom if you try attach a myon to the atom?



    2. Relevant equations

    a) [tex] r_{n} = \frac{\epsilon_{0} \cdot h^2\cdot n^2}{\pi\cdot \mu \cdot e^2\cdot Z}= 2.56034\cdot 10^{-13}m[/tex]

    radius of the proton
    [tex] r_{p}= 1.3\cdot 10^{-15}[/tex]


    b) not sure if I that is correct how to calculate that fraction....
    [tex] \frac{2.56043\cdot 10^{-13}}{1.3\cdot 10^{-15}}= 196.9492[/tex]
    now the fraction of the muon which is located in the proton will be


    [tex] 196.9492 \cdot 2.56043\cdot 10^{-13}= 5.04275\cdot10^{-11}[/tex] ???? is that correct?

    c) I have just found some publications where actually such atoms have been formed, where muons where stuck to helium atoms forming negative charged atoms.

    Thanks
     
    Last edited: Sep 13, 2010
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Hydrogen atom, muon substitution
  1. Atom Trap (Replies: 0)

  2. Atom trap (Replies: 0)

  3. Atomic Radiation (Replies: 0)

Loading...