The spectrum of hypernuclear trios composed of a Λ baryon and two nucleons is the subject of an ongoing experimental campaign, aiming to study the interaction of the Λ particle with a neutron, and the 3-body Λ-nucleon-nucleon force. In this manuscript we utilize baryonic effective field theory at leading order, constrained to reproduce the available low energy light hypernuclear data, to study the continuum spectrum of such hypernuclear trios. Using the complex scaling method and the inverse analytic continuation in the coupling constant method we find the existence of a virtual state in the Λnp Jπ=3/2+ channel, leading to cross-section enhancement near threshold. For the Λnn Jπ=1/2+ channel we predict a resonance state. Depending, however, on the value of the ΛN scattering length, the resonance pole moves from the physical to the unphysical complex energy sheet within the experimental bounds.
|Original language||American English|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - 10 Sep 2020|
Bibliographical noteFunding Information:
We are grateful to Avraham Gal for valuable discussions and careful reading of the manuscript. This work was partly supported by the Czech Science Foundation GACR grant 19-19640S . The work of NB was supported by the PAZY Foundation and by the Israel Science Foundation grant 1308/16 .
- Effective field theory