Year: 2021
Type: article
Abstract: Three-body calculations of the $K\overline{K}N$ system with quantum numbers $I=1/2$, ${J}^{\ensuremath{\pi}}={(\frac{1}{2})}^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}}$ mass spectra for the ${(\overline{K}N)}_{I=0}+{K}^{+}\ensuremath{\rightarrow}{(\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}})}^{0}{K}^{+}$ reaction on the basis of the three-body Alt-Grassberger-Sandhas equations in the momentum representation. In this regard, different types of $\overline{K}N\text{\ensuremath{-}}\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}}$ potentials based on a phenomenological and chiral SU(3) approach were used. The possibility to observe the trace of the $\mathrm{\ensuremath{\Lambda}}(1405)$ resonance in the ${(\ensuremath{\pi}\mathrm{\ensuremath{\Sigma}})}^{0}$ mass spectrum was studied. Using the ${\ensuremath{\chi}}^{2}$ fitting, it was shown that the mass of the $\mathrm{\ensuremath{\Lambda}}$(1405) resonance is about $1417\phantom{\rule{4pt}{0ex}}\mathrm{MeV}/{c}^{2}$.
Source: Physical Review C
Authors: S. Marri, M. N. Nasrabadi, S. Z. Kalantari
Institution: University of Isfahan
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: University of Isfahan
Award: G3163421632
OpenAlex ID: W3159935279