Abstract
AbstractWe present a consistent relativistic approach to calculation of energy and spectral parameters of the kaonic exotic atomic systems with accounting for the nuclear radiative (quantum electrodynamics), hyperfine and strong interactions. The approach is naturally based on using the relativistic Klein-Gordon-Fock equation with introduction of electromagnetic and strong interactions potentials. To take a strong kaon-nuclear interaction into account, the generalized optical potential method is applied. In order to take the nuclear (the finite nuclear size effect) and radiative (quantum electrodynamics) corrections into account, the generalized Uehling-Serber approach is applied. The elements of the hyperfine structure theory of the kaonic atoms (KA) are presented. As an illustration, there are results of calculating the binding energies of various atomic levels in a hydrogen KA obtained within the H-like model of Iwasaki, the method of Indelicato et al. and our approach (here the Fermi model of the charge distribution in the nucleus is used). Using our calculated “electromagnetic” values of the transition energy and a set of available latest experimental values, it is calculated a shift of the 1s level in kaonic hydrogen, due to the strong kaon-nucleon interaction; the calculated “electromagnetic” value of the transition energy and further comparison with the experimental value of the transition allowed to obtain a theoretical estimate of the “strong” shift in kaonic hydrogen, which is in excellent agreement with the DEAR experimental data. In addition, the results of calculating the energy (electromagnetic) contributions (the main Coulomb correction, correction for vacuum polarization, relativistic correction for the recoil effect, a hyperfine shift) to the energy of the 8k-7i, 8i-7h transitions in the spectrum of kaonic nitrogen are presented and compared with the alternative theoretical data by Indelicato et al.KeywordsQuantum mechanics and spectroscopyKaonic atomsRelativistic many-body perturbation theoryKlein-Gordon-Fock equationStrong kaon-nuclear optical potentialHyperfine structure
Published Version
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