Kaonic production of $ Lambda$(1405) off deuteron target in chiral dynamics

The K^--induced production of ( Lambda)(1405) is investigated in K ^- d ( rightarrow) ( pi) ( Sigma) n reactions based on coupled-channels chiral dynamics, in order to discuss the resonance position of the ( Lambda)(1405) in the ( bar{{K}}) N channel. We find that the K ^- d ( rightarrow) ( Lambda)(1405)n process favors the production of ( Lambda)(1405) initiated by the ( bar{{K}}) N channel. The present approach indicates that the ( Lambda)(1405) -resonance position is 1420MeV rather than 1405MeV in the ( pi) ( Sigma) invariant-mass spectra of K ^- d ( rightarrow) ( pi) ( Sigma) n reactions. This is consistent with an observed spectrum of the K ^- d ( rightarrow) ( pi^{{+}}_{}) ( Sigma^{{-}}_{}) n with 686-844MeV/c incident K^- by bubble chamber experiments done in the 70s. Our model also reproduces the measured ( Lambda)(1405) production cross-section.