of the Berkley, CERN and Virginia laboratories and alternative data obtained on the
basis of computing within alternative versions of the Klein-Gordon-Fock
(KGF) theory with taking into account for a finite size of the nucleus in the
model uniformly charged sphere and the standard Uehling-Serber radiation correction (see Refs. [6, 7, 13, 42, 43, 86, 89]).
The analysis of the presented data indicate on the importance of the correct
accounting for the radiation (vacuum polarization) and the strong pion-nuclear
interaction corrections. The contributions due to the nuclear finite size effect should
be accounted in a precise theory too. More exact knowledge of the electromagnetic
interaction parameters for a pionic atom will make more clear the true values for
parameters of the pion-nuclear potentials. Further it allows to correct a disadvantage
of widely used parameterization of the optical potential. It is especially important if
one takes into account an increasing accuracy of the X-ray pionic atom spectroscopy experiments. It is interesting to note that the contributions into transition
energies are about ∼5 keV due to the QED effects, ∼0.2 keV due to the nuclear
Fig. 2 The fragments of the
X-ray spectra of the
165
Ho
and positions of the hyperfine
structure components (5-4f
transition; experimental data
from [13])
Relativistic Quantum Chemistry and Spectroscopy of Exotic …
85
basis of computing within alternative versions of the Klein-Gordon-Fock
(KGF) theory with taking into account for a finite size of the nucleus in the
model uniformly charged sphere and the standard Uehling-Serber radiation correction (see Refs. [6, 7, 13, 42, 43, 86, 89]).
The analysis of the presented data indicate on the importance of the correct
accounting for the radiation (vacuum polarization) and the strong pion-nuclear
interaction corrections. The contributions due to the nuclear finite size effect should
be accounted in a precise theory too. More exact knowledge of the electromagnetic
interaction parameters for a pionic atom will make more clear the true values for
parameters of the pion-nuclear potentials. Further it allows to correct a disadvantage
of widely used parameterization of the optical potential. It is especially important if
one takes into account an increasing accuracy of the X-ray pionic atom spectroscopy experiments. It is interesting to note that the contributions into transition
energies are about ∼5 keV due to the QED effects, ∼0.2 keV due to the nuclear
Fig. 2 The fragments of the
X-ray spectra of the
165
Ho
and positions of the hyperfine
structure components (5-4f
transition; experimental data
from [13])
Relativistic Quantum Chemistry and Spectroscopy of Exotic …
85