Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions

Abstract

We measured a set of ${\pi }^{\pm }{\Sigma }^{\mp }$, ${\pi }^0{\Sigma }^0$, and ${\pi }^{-}{\Sigma }^0$ invariant mass spectra below and above the $\bar{K}N$ mass threshold in $K^{-}$-induced reactions on deuteron. We deduced the $S$-wave $\bar{K}N\to \pi \Sigma$ and $\bar{K}N\to \bar{K}N$ scattering amplitudes in the isospin 0 channel in the framework of a $\bar{K}N$ and $\pi \Sigma$ coupled channel. We find that a resonance pole corresponding to $\Lambda (1405)$ is located at 1417.7${}_{-7.4}^{+6.0}$(fitting errors)${}_{-1.0}^{+1.1}$(systematic errors) + $[-26.1_{-7.9}^{+6.0}$(fitting errors)${}_{-2.0}^{+1.7}$(systematic errors)]$i$ MeV/$c^2$, closer to the $\bar{K}N$ mass threshold than the value determined by the Particle Data Group.

arXiv comment8 pages, 5 figures

References in corpus (38)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Chiral Dynamics of the Two Λ(1405) States
• A New Measurement of Kaonic Hydrogen X rays
• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Effective Kbar N interaction based on chiral SU(3) dynamics
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Improved constraints on chiral SU(3) dynamics from kaonic hydrogen
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Baryonic resonances close to the Kbar-N threshold: the case of Lambda(1405) in pp collisions
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Lambda(1405) poles obtained from pi0-Sigma0 photoproduction data
• QCD and the Strange Baryon Spectrum
• Spin and parity measurement of the Lambda(1405) baryon
• Precise calculation of the two-step process for K- d -> pi Sigma N in the Lambda (1405) resonance region
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Observation of a $\bar{K}NN$ bound state in the ${}^3\mathrm{He}(K^{-},\Lambda p)n$ reaction
• First Observation of the $\Lambda (1405)$ Line Shape in Electroproduction
• Experimental confirmation of the Lambda(1405) Ansatz from resonant formation of a K-p quasi-bound state in K- absorption by 3He and 4He
• Search for the deeply bound $K^{-}pp$ state from the semi-inclusive forward-neutron spectrum in the in-flight $K^{-}$ reaction on helium-3
• Exotic hadrons in s-wave chiral dynamics
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Production of hyperon resonances induced by kaon on a deuteron target
• Photoproduction of $K^{+}\Lambda (1405)\to K^{+}{\pi }^0{\Sigma }^0$ extending to forward angles and low momentum transfer
• The K1.8BR spectrometer system at J-PARC
• Toward establishing low-lying $\Lambda$ and $\Sigma$ hyperon resonances with the $\bar{K}+d\to \pi +Y+N$ reaction
• Theoretical analysis of Lambda(1405) --> (Sigma pi)^0 mass spectra produced in p+p --> p + Lambda(1405) + K^+ reactions
• Investigation of the Lambda(1405) line shape observed in pp collisions
• Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
• Renormalization of Unitarized Weinberg-Tomozawa Interaction without On-shell Factorization and $I=0$ $\bar{K}N$ - $\pi \Sigma$ Coupled Channels
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c

Cited by in corpus (7)

• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance
• Low-lying $\Lambda$ and $\Sigma$ resonances studied with the forward $K^{\ast }$ productions off the proton induced by a high-momentum $\pi$ beam