3) a) A muonic hydrogen atom consists of a proton and a muon, μ. The muon behaves like as an electron with mass mμ = 105.7 MeV/c2, approximately 200 times greater than the mass of the electron, me = 0.511 MeV/c2. What is the ground state energy E1 of this atom?

E1 = -0.1 eV

E1 = -2813.2 eV

E1 = -581898.3 eV


b) Define
dμ = the most likely distance between the muon and the proton in the muon hydrogen atom in its ground state;

de = the most likely distance between the electron and the proton in the hydrogen atom in its ground state.

Compare dμ and de:

dμ < de

dμ = de

dμ > de


c) How many muons can be in the n=3 states (including the effect of spin) of the muonic hydrogen atom?

9

10

18

Please show me what formula or concept I should use?