Three-body resonances Lambda-n-n and Lambda-Lambda-n

Abstract

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda \Lambda n$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local two-body S-wave potentials describing the $nn$, $\Lambda n$, and $\Lambda \Lambda$ interactions. Very wide near-threshold resonances are found for both three-body systems. The positions of these resonances turned out to be sensitive to the choice of the $\Lambda n$-potential. Bound $\Lambda nn$ and $\Lambda \Lambda n$ states only appear if the two-body potentials are multiplied by a factor of $\sim 1.5$.

12 pages, 5 figures. Acknowledgments are added in the new version

References in corpus (18)

• The Hypernuclei ${}_{\Lambda }^4$He and ${}_{\Lambda }^4$H: Challenges for Modern Hyperon-Nucleon Forces
• Ab initio approach to s-shell hypernuclei 3H_Lambda, 4H_Lambda, 4He_Lambda and 5He_Lambda with a Lambda N-Sigma N interaction
• Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei
• Light Lambda-Lambda Hypernuclei and the Onset of Stability for Lambda-Xi Hypernuclei
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Study of Light Lambda- and Lambda Lambda-Hypernuclei with the Stochastic Variational Method and Effective Lambda N Potentials
• Exact method for locating potential resonances and Regge trajectories
• Stochastic Variational Search for ${}_{\Lambda \Lambda }^4$H
• Sub-threshold resonances in few-neutron systems
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves
• A METHOD OF CALCULATING THE JOST FUNCTION FOR ANALYTIC POTENTIALS
• Resonances in $\Lambda d$ Scattering and the $\Sigma$-hypertriton
• Jost Function for Coupled Partial Waves
• Jost Function for Singular Potentials
• Analyzing the contribution of individual resonance poles of the S-matrix to the two-channel scattering
• Lambda-Lambda hypernuclei and stranger systems
• Resonant State in Helium-4 Lambda
• Hypernuclear Physics and Compact Stars

Cited by in corpus (11)

• Strangeness in nuclear physics
• Three-Body Hypernuclei in Pionless Effective Field Theory
• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• The Continuum Spectrum of Hypernuclear Trios
• Nature of the $\Lambda nn$ $(J^{\pi }=1/2^{+},I=1)$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states
• The cross-section measurement for the ${}^3\text{H}(e,e^{\prime }{K}^{+})nn\Lambda$ reaction
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D
• Examination of the lattice QCD-motivated strong attractive $\Omega N$ potentials in the ${\Omega }^{-}np$ system
• Study on $\Lambda nn$ Bound State and Resonance
• One-proton emission from the ${}_{\Lambda }^6$Li hypernucleus