$(I,J^P)=(1,1/2^+)$ $ΣNN$ quasibound state
Preprint
Abstract
JLab has recently found indications of the possible existence of a $\Sigma NN$ resonance at $(3.14 \pm 0.84) - i (2.28 \pm 1.2)$ MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without strangeness, hyperon-nucleon interactions have been derived that reproduce the experimental data of the strangeness $-1$ sector. We make use of these interactions to review existing Faddeev studies of the $\Lambda NN$-$\Sigma NN$ system that show theoretical evidences about a $(I,J^P)=(1,1/2^+)$ $\Sigma NN$ quasibound state near threshold. The calculated position of the pole is at 2.92$\,-i\,$2.17 MeV, in reasonable agreement with the experimental findings.
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All Related Versions
- Version 1, 2022-11-25, ArXiv
- Published version: Symmetry, 14 (11), 2381.
This publication has 7 references indexed in Scilit:
- Spectroscopic study of a possible resonance and a pair of states using the reaction with a tritium targetPhysical Review C, 2022
- Quark-model study of few-baryon systemsReports on Progress in Physics, 2005
- andzero-energy scattering: A Faddeev approachPhysical Review C, 2000
- Hypertriton: Λ⇆Σ conversion and tensor forcesPhysical Review C, 1990
- Hyperon-nucleon interaction in the quark cluster modelNuclear Physics A, 1988
- Non-existence of Λnn or Σ-nn bound statesJournal of Physics G: Nuclear Physics, 1987
- A new determination of the binding-energy values of the light hypernuclei (A ⩽ 15)Nuclear Physics B, 1973