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Nonperturbative relativistic calculation of the muonic hydrogen spectrum

Nonperturbative relativistic calculation of the muonic hydrogen spectrum

We investigate the muonic hydrogen $2{P}_{3/2}^{F=2}$ to $2{S}_{1/2}^{F=1}$ transition through a precise, nonperturbative numerical solution of the Dirac equation including the finite-size Coulomb force and finite-size vacuum polarization. The results are compared with earlier perturbative calculations of (primarily) [E. Borie, Phys. Rev. A 71, 032508 (2005); E. Borie and G. …