- #1

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## Main Question or Discussion Point

Hi,

I would like to model an alternate to Muonic helium, and I need some help. I got this idea from a professor of mine who mentioned it off hand in a lecture. The idea is the following:

Model a helium nucleus with one electron, and one muon.

This would have two fermions "orbiting" however, the particles are distinguishable and so none of the indistinguishably ideas around the electrons in the atom would apply.

One of my first question is this: The muon is considerably more massive than the electron, the ratio of mass between the nucleus and the muon is 1 [itex]m_\mu[/itex] is 0.0283466 times smaller than 1 [itex]m_\alpha[/itex]. So the muon is [itex]\approx 3\%[/itex] the mass of a helium nucleus. Is this small enough to still approximate a stationary center?

I would like to model an alternate to Muonic helium, and I need some help. I got this idea from a professor of mine who mentioned it off hand in a lecture. The idea is the following:

Model a helium nucleus with one electron, and one muon.

This would have two fermions "orbiting" however, the particles are distinguishable and so none of the indistinguishably ideas around the electrons in the atom would apply.

One of my first question is this: The muon is considerably more massive than the electron, the ratio of mass between the nucleus and the muon is 1 [itex]m_\mu[/itex] is 0.0283466 times smaller than 1 [itex]m_\alpha[/itex]. So the muon is [itex]\approx 3\%[/itex] the mass of a helium nucleus. Is this small enough to still approximate a stationary center?