S-matrix pole trajectory in a three-neutron model

W. Glöckle
Phys. Rev. C 18, 564 – Published 1 July 1978
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Abstract

The eigenvalue equation to the Faddeev kernel is analytically continued on to nonphysical sheets adjacent to the real energy axis of the physical sheet. The position of the pole of the three-body S matrix corresponding to the deepest three-body bound state is calculated as a function of the two-body interaction strength. In a three-neutron model of pure S01 interaction and spectator angular momentum λ=1 favored by the shell model, the very pattern of the pole trajectory rules out the possibility of a low-energy resonance.

NUCLEAR STRUCTURE Analytical continuation of Faddeev kernel to nonphysical energy sheets. Calculated three-neutron S-matrix pole trajectory.

  • Received 10 February 1978

DOI:https://doi.org/10.1103/PhysRevC.18.564

©1978 American Physical Society

Authors & Affiliations

W. Glöckle

  • Institut für Theoretische Physik, Ruhr-Universität Bochum, Germany

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Vol. 18, Iss. 1 — July 1978

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