Abstract
Three-neutron resonances are investigated using realistic nucleon-nucleon interaction models. The resonance pole trajectories are explored by first adding an additional interaction to artificially bind the three-neutron system and then gradually removing it. The pole positions for the three-neutron states up to $J=5/2$ are localized in the third energy quadrant---$\mathrm{Im}\phantom{\rule{0.2em}{0ex}}(E)\ensuremath{\leqslant}0,\phantom{\rule{0.3em}{0ex}}\mathrm{Re}\phantom{\rule{0.2em}{0ex}}(E)\ensuremath{\leqslant}0$---well before the additional interaction is removed. Our study shows that realistic nucleon-nucleon interaction models exclude any possible experimental signature of three-neutron resonances.
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