Three-Body approach to the K^- d Scattering Length in Particle Basis

Details Three-Body approach to the K^- d Scattering Length in Particle Basis Three-Body approach to the K^- d Scattering Length in Particle Basis

2002-07-11

arxiv.org/abs/nucl-th/0207030v1

Phys.Rev. C66 (2002) 057001

Physics

Nuclear Physics

Nuclear Theory

5 pages, Submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.66.057001

We report on the first calculation of the scattering length A_{K^-d} based on a relativistic three-body approach where the two-body input amplitudes coupled to the Kbar N channels have been obtained with the chiral SU(3) constraint, but with isospin symmetry breaking effects taken into account. Results are compared with a recent calculation applying a similar set of two-body amplitudes,based on the fixed center approximation, considered as a good approximation for a loosely bound target, and for which we find significant deviations from the exact three-body results. Effects of the hyperon-nucleon interaction, and deuteron $D$-wave component are also evaluated.

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