  The nature of the $\Lambda nn$ and ${\rm ^3_\Lambda H^*} (J^\pi=3/2^+,~I=0)$
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 ${\rm ^3_\Lambda H^*}$ states unbound. We conclude that the
excited state ${\rm ^3_\Lambda H^*}$ 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.
