Signature of the $Λ(1405)$ resonance in neutron spectra from the $K^-+d$ reaction

Physics – Nuclear Physics – Nuclear Theory

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Scientific paper

Neutron spectra from the reaction $K^-+d\rightarrow \pi+\Sigma+n$ were calculated in the energy range $E^{cm}_{K^-}= 0-50\ MeV$ using coupled channel Faddeev equations for the description of the $\bar KNN-\pi\Sigma N$ three-body system. The aim was to trace the signature of the $\Lambda(1405)$ resonance in the spectra. We found, that while in the direct spectra kinematic effects mask completely the peak corresponding to the resonance, the deviation spectrum method \cite{AY} is able to eliminate kinematics and produce clear evidence of the resonance. The dependence of the obtained spectra on the incident kaon energy is discussed.

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