$(I,J^P)=(1,1/2^{+})$ $\Sigma NN$ quasibound state

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.

7 pages, 2 figures, 1 table

References in corpus (3)

• Quark-model study of few-baryon systems
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves

Cited by in corpus (1)

• On a possible ${}_{\varphi }^3$H hypernucleus with HAL QCD interaction