Energy Level Displacements in Pi-Mesonic Atoms

Abstract

The energy level shifts and level widths of the s states of the '11"-mesonic atoms are discussed. The discussion is limited to fairly light nuclei. On the basis of Orear's determination of the scattering lengths for meson-nucleon scattering, semiquantitative predictions are made. It is pointed out that even a knowledge of the algebraic sign of the level shift would be of value.

Point-particle effective field theory III: relativistic fermions and the Dirac equation

“…[6] shows how parametrizing these strong interactions in terms of the lowestdimension contact interaction allows the derivation of a relation between the stronginteraction induced shifts in atomic energy levels and the scattering length for collisions with the nucleus, that reproduce the standard Deser formula [58] (derived using nuclear potentials in the 1950s).…”

Hadronic potentials from effective field theories

“…In practice, this would mean that the Deser-type formulae [5] which are used to extract the strong scattering lengths from the measured values of the energy shift and width of hadronic atoms, do not provide the necessary precision and should be corrected to accommodate strong and electromagnetic isospin-breaking corrections which typically amount up to a few percent. Since these corrections arise in a result of a complicated interplay of strong and electromagnetic effects in the bound-state observables, some dynamical input on strong interactions is needed for their evaluation.…”

Kaonic atoms measurements at the DAΦNE accelerator

“…This expression in known as the Deser-Trueman formula [5][6][7]. A similar relation applies to the case of kaonic deuterium and to its corresponding scattering length,…”

“…± 30(syst.) eV (5) This measurement has triggered new interest from the theoretical groups working in the low-energy kaon-nucleon interaction field, and as well it is related to nonperturbative QCD tests [10][11][12][13][14][15][16][17].…”