Recoil corrections in antikaon-deuteron scattering

¹ Helmholtz–Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
² Institut für Theoretische Physik II, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, 44780 Bochum, Germany
³ Institute for Theoretical and Experimental Physics, 117218, B. Cheremushkinskaya 25, Moscow, Russia

^a e-mail: mai@hiskp.uni-bonn.de
^b e-mail: vadimb@tp2.rub.de
^c e-mail: evgeny.epelbaum@ruhr-uni-bochum.de
^d e-mail: rusetsky@hiskp.uni-bonn.de

Published online: 25 March 2016

Abstract

Using the non-relativistic effective field theory approach for K⁻d scattering, it is demonstrated that a systematic perturbative expansion of the recoil corrections in the parameter ξ = M_K/m_N is possible in spite of the fact that K⁻d scattering at low energies is inherently non-perturbative due to the large values of the K̄N scattering lengths. The first order correction to the K⁻d scattering length due to single insertion of the retardation term in the multiple-scattering series is calculated. The recoil effect turns out to be reasonably small even at the physical value of M_K/m_N ≃ 0:5.