Precise calculation of the two-step process for K- d -> pi Sigma N in the Lambda (1405) resonance region

Abstract

The reaction K- d -> pi Sigma N is investigated taking into account single scattering and the two-step process due to Kbar N -> pi Sigma rescattering. The influence of some common approximations are examined. It is found that the treatment of the kinematics in the Green's function that appears in the loop integral of the rescattering process has a rather strong impact on the resulting lineshape of the pi Sigma invariant mass spectrum. Specifically, a calculation with correct kinematics where the three-body unitarity cut due to the nK- p threshold occurs at the physical value yields a pronounced peak in the invariant mass spectrum at this threshold and, at the same time, suppresses the signal in the region of the Lambda(1405) resonance. On the other hand, an approximation applied in past calculations shifts that threshold down and, consequently, leads to an accidental and therefore erroneous enhancement of the signal of the Lambda(1405) in the pi Sigma invariant mass spectrum.

11 pages, 13 figures

References in corpus (4)

• K^- p scattering length from scattering experiments
• DN interaction from meson exchange
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Kaon induced Lambda(1405) production on a deuteron target at DAFNE

Cited by in corpus (35)

• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Weak decays of heavy hadrons into dynamically generated resonances
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Lambda(1405) poles obtained from pi0-Sigma0 photoproduction data
• 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
• The $K^{-}d\to \pi \Sigma n$ reaction revisited
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Structure of the $\Lambda (1405)$ and the $K^{-}d\to \pi \Sigma n$ reaction
• Antineutrino induced Lambda(1405) production off the proton
• Production of hyperon resonances induced by kaon on a deuteron target
• 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
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• 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 ${\chi }_{c0}(1P)\to \bar{\Lambda }\Sigma \pi$
• Theoretical analysis of Lambda(1405) --> (Sigma pi)^0 mass spectra produced in p+p --> p + Lambda(1405) + K^+ reactions
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Semileptonic ${\Lambda }_c$ decay to $\nu l^{+}$ and $\Lambda (1405)$
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction
• 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
• What We Know About the Lambda(1405)
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• Investigations of the $D$-multi-$\rho$ interactions
• Theoretical study of photoproduction of ${\eta }^{\prime }N$ bound state on deuteron target with forward proton emission
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• States generated in the $K$-multi-$\rho$ interactions
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry
• 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