Calculation of resonance states associated with a μp(2s)+p metastable ion using the variational method

Observation of ppμ*, muonic proton-proton metastable ionic molecules, has been reported in recently published papers. They are produced in interactions of μp(2s) atoms with protons. These ionic molecules play an important role in the muon-catalyzed fusion cycle. The structure of ppμ* is studied here using the variational method and by a related suitable wave function. Through this approach, the energies and nuclear size in the resonance states for ppμ* are calculated. To assess the reliability of the given wave function, the formation rate is also calculated. The obtained results are close to those previously reported and give strong indications that the related wave function is good enough for determining the resonance states of this mentioned ionic molecule