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Indications for the Nonexistence of Three-Neutron Resonances near the Physical Region

A. Hemmdan·W. Gloeckle·H. Kamada
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Abstract

The pending question of the existence of three-neutron resonances near the physical energy region is reconsidered. Finite rank neutron-neutron forces are used in Faddeev equations, which are analytically continued into the unphysical energy sheet below the positive real energy axis. The trajectories of the three-neutron S-matrix poles in the states of total angular momenta and parity J^π=1/2 +- and J^π= 3/2 +- are traced out as a function of artificial enhancement factors of the neutron-neutron forces. The final positions of the S-matrix poles removing the artificial factors are found in all cases to be far away from the positive real energy axis, which provides a strong indication for the nonexistence of nearby three-neutron resonances. The pole trajectories close to the threshold E=0 are also predicted out of auxiliary generated three-neutron bound state energies using the Padé method and agree very well with the directly calculated ones.

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A. Hemmdan, W. Gloeckle, H. Kamada. 2002-08-12. Indications for the Nonexistence of Three-Neutron Resonances near the Physical Region. https://doi.org/10.1103/physrevc.66.054001

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