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

Abstract

The nature of the $\Lambda nn$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states is investigated within a pionless effective field theory at leading order, constrained by the low energy $\Lambda N$ scattering data and hypernuclear 3- and 4-body data. Bound state solutions are obtained using the stochastic variational method, the continuum region is studied by employing two independent methods - the inverse analytic continuation in the coupling constant method and the complex scaling method. Our calculations yield both the $\Lambda nn$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }$ states unbound. We conclude that the excited state ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }$ is a virtual state and the $\Lambda nn$ pole located close to the three-body threshold in a complex energy plane could convert to a true resonance with Re$(E)>0$ for some considered $\Lambda N$ interactions. Finally, the stability of resonance solutions is discussed and limits of the accuracy of performed calculations are assessed.

References in corpus (26)

• Soft-core hyperon-nucleon potentials
• Strangeness in nuclear physics
• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Measurement of the mass difference and the binding energy of the hypertriton and antihypertriton
• Three-body structure of the $nn\Lambda$ system with $\Lambda N-\Sigma N$ coupling
• Is there a bound Lambda-n-n ?
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• The Hypertriton in Effective Field Theory
• Complex scaling of the hyper-spheric coordinates and Faddeev equations
• Three-Body Hypernuclei in Pionless Effective Field Theory
• Effective Field Theory for Few-Boson Systems
• Resolving the $\Lambda$ hypernuclear overbinding problem in pionless effective field theory
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves
• Towards resolving the ${}_{\Lambda }^3$H lifetime puzzle
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• The onset of $\Lambda \Lambda$ hypernuclear binding
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Lifetime of the hypertriton
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• The Continuum Spectrum of Hypernuclear Trios
• Three-body resonances Lambda-n-n and Lambda-Lambda-n
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• B${}_{\Lambda }$(${}_{\Lambda }^5$He) from short range effective field theory

Cited by in corpus (8)

• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Few nucleons scattering in pionless effective field theory
• The cross-section measurement for the ${}^3\text{H}(e,e^{\prime }{K}^{+})nn\Lambda$ reaction
• Systematic Nuclear Uncertainties in the Hypertriton System
• Consequences of increased hypertriton binding for $s$-shell $\Lambda$-hypernuclear systems
• Spectrum of light nuclei in a finite volume
• Study on $\Lambda nn$ Bound State and Resonance
• Machine learning the single-$\Lambda$ hypernuclei with neural-network quantum states