The $K^{-}d\to \pi \Sigma n$ reaction revisited

Abstract

The appearance of some papers dealing with the $K^{-}d\to \pi \Sigma n$ reaction, with some discrepancies in the results and a proposal to measure the reaction at forward $n$ angles at J-PARC justifies to retake the theoretical study with high precision to make accurate predictions for the experiment and extract from there the relevant physical information. We do this in the present paper showing results using the Watson approach and the truncated Faddeev approach. We argue that the Watson approach is more suitable to study the reaction because it takes into account the potential energy of the nucleons forming the deuteron, which is neglected in the truncated Faddeev approach. Predictions for the experiment are done as well as spectra with the integrated neutron angle.

8 pages, 7 figures; a minor correction done

References in corpus (5)

• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Precise calculation of the two-step process for K- d -> pi Sigma N in the Lambda (1405) resonance region
• Kaon induced Lambda(1405) production on a deuteron target at DAFNE
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction

Cited by in corpus (29)

• Strangeness in Nuclei and Neutron Stars
• Weak decays of heavy hadrons into dynamically generated resonances
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Predictions for the ${\Lambda }_b\to J/\psi \Lambda (1405)$ decay
• QCD and the Strange Baryon Spectrum
• On the structure observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Antineutrino induced Lambda(1405) production off the proton
• The role of the triangle singularity in $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ and $pp\to p{K}^{+}\pi \Sigma$ processes
• Determination of compositeness of the Lambda(1405) resonance from its radiative decay
• Toward establishing low-lying $\Lambda$ and $\Sigma$ hyperon resonances with the $\bar{K}+d\to \pi +Y+N$ reaction
• $\Lambda (1405)$ production in the process ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• Feasibility study of the $K^{+}d\to K^{0}pp$ reaction for the "${\Theta }^{+}$" pentaquark
• What We Know About the Lambda(1405)
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Investigations of the $D$-multi-$\rho$ interactions
• Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• States generated in the $K$-multi-$\rho$ interactions
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• $K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Low-lying $\Lambda$ and $\Sigma$ resonances studied with the forward $K^{\ast }$ productions off the proton induced by a high-momentum $\pi$ beam
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance
• The Peak Structure in the In-Flight ${}^3\text{He}(K^{-},\Lambda p)n$ Reaction Around the $\bar{K}NN$ Threshold