Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction

Abstract

Three-body calculations of $K\bar{K}N$ system with quantum numbers $I=1/2$, $J^{\pi }=(\frac{1}{2}{)}^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\pi \Sigma$ mass spectra for the $(\bar{K}N{)}_{I=0}+K^{+}\to (\pi \Sigma {)}^0{K}^{+}$ reaction on the basis of three-body Alt-Grassberger-Sandhas equations in the momentum representation. In this regard, different types of $\bar{K}N-\pi \Sigma$ potentials based on phenomenological and chiral SU(3) approach are used. The possibility to observe the trace of $\Lambda (1405)$ resonance in $(\pi \Sigma {)}^0$ mass spectra was studied. Using the ${\chi }^2$ fitting, it was shown that the mass of $\Lambda$(1405) resonance is about 1417 $\mathrm{MeV}/c^2$.

10 pages, 6 figures, accepted for publication in PRC

References in corpus (12)

• Big-Bang Nucleosynthesis
• Effective Kbar N interaction based on chiral SU(3) dynamics
• 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)
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Three- and four-body kaonic nuclear states: Binding energies and widths
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction

Cited by in corpus (2)

• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance
• The $\Lambda (1405)$ resonance as a genuine three-quark or molecular state