Nature of the Λnn(Jπ=1/2+, I=1) and 3ΛH*(Jπ=3/2+, I=0) states

The nature of the Lambda nn and H-3(Lambda)*(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 three- and four-body data. Bound-state solutions are obtained using the stochastic variational method, and 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(Lambda)( 3)H* states unbound. We conclude that the excited state(Lambda)( 3)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.

Automated summary

The nature of Lambda nn and H-3(Lambda)*(J(pi) = 3/2(+), I = 0) states was investigated using a pionless effective field theory at leading order. The Lambda nn and (Lambda)(3)H* states were found to be unbound, with the (Lambda)(3)H* state being a virtual state. It was also suggested that the Lambda nn pole could potentially convert to a true resonance with Re(E) > 0. The stability of resonance solutions and accuracy of calculations were discussed and assessed.