A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin–spin interaction, including the anomalous magnetic moments of the two fermions, is added by means of a Breit term. We solve the resulting fourth order differential system by evaluating the spectrum and the eigenfunctions. The interaction vertex with an external electromagnetic field is then determined. The relativistic eigenfunctions are used to study the photon emission from a hyperfine transition and are checked for the calculation of the Lamb shift due to the electron vacuum polarization in the muonic hydrogen.
Relativistic two fermion treatment of hyperfine transitions / Andrea Barducci; Riccardo Giachetti; Emanuele Sorace. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - STAMPA. - 48:(2015), pp. 085002-1-085002-9. [10.1088/0953-4075/48/8/085002]
Relativistic two fermion treatment of hyperfine transitions
BARDUCCI, ANDREA;GIACHETTI, RICCARDO;SORACE, EMANUELE
2015
Abstract
A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin–spin interaction, including the anomalous magnetic moments of the two fermions, is added by means of a Breit term. We solve the resulting fourth order differential system by evaluating the spectrum and the eigenfunctions. The interaction vertex with an external electromagnetic field is then determined. The relativistic eigenfunctions are used to study the photon emission from a hyperfine transition and are checked for the calculation of the Lamb shift due to the electron vacuum polarization in the muonic hydrogen.File | Dimensione | Formato | |
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