We search for three-neutron resonances which were predicted from pion double charge exchange experiments on ${}_{}{}^3{}_{}{}^{}\mathrm{He}$. All partial waves up to J=5/2 are nonresonant except the ${\mathit{J}}^{\mathrm{\pi }}$=3/$2^{+}$ one, where we find a state at E=14 MeV energy with 13 MeV width. The parameters of the mirror state in the three-proton system are E=15 MeV and Γ=14 MeV. The possible existence of an excited state in the triton, which was predicted from a H${(}^6$He,α) experiment, is also discussed. © 1996 The American Physical Society.

• Received 10 October 1995

DOI:https://doi.org/10.1103/PhysRevC.53.1589