Resonant states in three- and four-body hypernuclear systems

Abstract

Using realistic nuclear and hyperon–nucleon interactions obtained from chiral effective field theory, we explore the possible existence of resonant states in three- and four-body strangeness S=-1 hypernuclear systems. In particular, we focus on Feshbach resonant states near the Σ-hyperon production threshold. We firmly identified $J^{\pi }=1/2^{+}$ ΣNN as well as $J^{\pi }=0^{+}$ ΣNNN states and determined their positions and widths to draw conclusions on their experimental observability.