Symmetry (Nov 2022)
(<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State
Abstract
JLab has recently found indications of the possible existence of a ΣNN resonance at (3.14±0.84)−i(2.28±1.2) MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without strangeness, hyperon–nucleon interactions that reproduce the experimental data of the strangeness −1 sector have been derived. We make use of these interactions to review the existing Faddeev studies of the ΛNN−ΣNN system that show theoretical evidence of a (I,JP)=(1,1/2+)ΣNN quasibound state near the threshold. The calculated position of the pole is at 2.92−i2.17 MeV, which is in reasonable agreement with the experimental findings.
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