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 $\mathrm{MeV}/c^2$.

arXiv comment10 pages, 6 figures, accepted for publication in PRC

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Cited by in corpus (2)

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• The $\Lambda (1405)$ resonance as a genuine three-quark or molecular state