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Indications for the Nonexistence of Three-Neutron Resonances near the Physical Region | | A. Hemmdan
; W. Gloeckle
; H. Kamada
; | | Date: |
5 Aug 2002 | | Journal: | Phys.Rev. C66 (2002) 054001 | | Subject: | nucl-th | | Affiliation: | Ruhr-Uni. Bochum, Germany & South Valley Uni., Egypt), W. Gloeckle (Ruhr-Uni. Bochum, Germany), H. Kamada (Kyushu In. Tech., Japan | | 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^pi=1/2 +- and J^pi= 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. | | Source: | arXiv, nucl-th/0208007 | | Services: | Forum | Review | PDF | Favorites | |
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