Faddeev-chiral unitary approach to the K(-)d scattering length

Abstract

Our earlier Faddeev three-body study in the K--deuteron scattering length, AK-d, is revisited here in light of the recent developments on two fronts: (i) the improved chiral unitary approach to the theoretical description of the coupled K̄N related channels at low energies, and (ii) the new and improved measurement from SIDDHARTA Collaboration of the strong interaction energy shift and width in the lowest K --hydrogen atomic level. Those two, in combination, have allowed us to produce a reliable two-body input to the three-body calculation. All available low-energy K-p observables are well reproduced and predictions for the K̄N scattering lengths and amplitudes, (πΣ)â̂̃ invariant-mass spectra, as well as for AK-d are put forward and compared with results from other sources. The findings of the present work are expected to be useful in interpreting the forthcoming data from CLAS, HADES, LEPS, and SIDDHARTA Collaborations. © 2013 American Physical Society.