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η − d and K − − d zero-energy scattering: A Faddeev approach

2000; American Institute of Physics; Volume: 61; Issue: 2 Linguagem: Inglês

10.1103/physrevc.61.024004

1538-4497

A. Deloff,

High-Energy Particle Collisions Research

The $\ensuremath{\eta}\ensuremath{-}d$ scattering length ${A}_{\ensuremath{\eta}d}$ has been calculated using as input a variety of possible $\ensuremath{\eta}\ensuremath{-}N$ scattering length values that have been presented in the literature. The calculated ${A}_{\ensuremath{\eta}d}$ are in perfect agreement with the values obtained previously by summation of multiple-scattering series but we disagree with another Faddeev-type calculation. We show that the present $\ensuremath{\eta}\ensuremath{-}N$ data rule out the possibility of a quasibound $\ensuremath{\eta}\ensuremath{-}d$ state. The imaginary part of the ${K}^{\ensuremath{-}}\ensuremath{-}d$ scattering length calculated by using a single-channel absorptive ${K}^{\ensuremath{-}}$-nucleon interaction is found to be in good agreement with the value obtained from the full multichannel approach but the mismatch in the corresponding real parts is about 40%.