Energy-level displacement of excitednpstates of kaonic hydrogen

Abstract

We compute the energy level displacement of the excited np states of kaonic hydrogen within the quantum field theoretic and relativistic covariant model of strong low-energyKN interactions suggested in EPJA 21, 11 (2004). For the width of the energy level of the excited 2p state of kaonic hydrogen, caused by strong low-energy interactions, we find Γ 2p = 2 meV = 3 × 10 12 sec −1 . This result is important for the theoretical analysis of the X-ray yields in kaonic hydrogen.

Role of scalar dibaryon andf0(500)in the isovector channel of low-energy neutron-proton scattering

“…Interestingly, a similar conclusion concerning a metastable neutron-proton state was also obtained in Ref. [53] and recent experimental activity is described in Ref. [54].…”

On isospin-breaking corrections to the energy level displacement of the ground state of kaonic hydrogen

“…Energy level shift and the σ I=1 KN (0)-term In our approach, taking into account the dispersive corrections Eq. KN (0)-term, given by [35]:…”

Radiativenp→1s+γtransitions induced by strong low-energy interactions in kaonic atoms

“…In order to reconcile the experimental data on the K α , K β and K γ lines with the theoretical analysis they assumed that Γ 2p > 1 meV = 1.5 × 10 12 sec −1 . In this paper we continue the analysis of the influence of strong low-energy interactions on the transitions from the np state in kaonic hydrogen, which we have started in [9]. We investigate the radiative transitions np → 1s + γ, induced by strong low-energy interactions and enhanced by the Coulomb interaction of the K − p pair, in kaonic hydrogen and extend the results on kaonic deuterium.…”

“…Our approach to the calculation of the amplitude of the kaon-proton Bremsstrahlung K − + p → K − + p + γ is similar to that which has been used in [13] for the derivation of the Ericson-Weise formula for the S-wave scattering amplitude of K − d scattering [14] and runs parallel the non-relativistic Effective Field Theory (the EFT) approach, based on Chiral Perturbation Theory (ChPT) by Gasser and Leutwyler [15], which has been applied by Meißner et al [16] to the systematic calculation of QCD isospin-breaking and electromagnetic corrections to the energy level displacement of the ns state of kaonic hydrogen. In [9] we have analysed the quantitative agreement of the results on the energy level displacement of the ns state of kaonic hydrogen obtained by Meißner' s group [16], our group [10,13] and the experimental data by the DEAR Collaboration [8].…”

“…Recently [9] we have calculated the rate Γ np of hadronic decays of kaonic hydrogen from the np state. For the 2p state we have obtained: Γ 2p = 2 meV = 3.0 × 10 12 sec −1 .…”