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Resonances in the three-neutron system

1999/01/25 by H. Witała, H. Witala, W. Gloeckle +1 · 1 citation
Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Configuration space #Faddeev equations #Few-body systems #Function (biology) #Geometry #Mathematics #Neutron #Nuclear Physics and Applications #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Resonance (particle physics) #Scaling #Space (punctuation) #Wave function #nucl-th

paper · pdf · doi:10.1103/physrevc.60.024002

published as Phys.Rev.C60:024002,1999 · 38 pages, 11 tables, 4 figures

arxiv created 1999/01/25 · openalex publication_date 1999/06/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A study of three-body resonances has been performed in the framework of configuration-space Faddeev equations. The importance of keeping a sufficient number of terms in the asymptotic expansion of the resonance wave function is pointed out. We investigated three neutrons interacting in selected force components taken from realistic nn forces. Three-neutron resonance pole trajectories connected to artificially enhanced nn forces could be found. The final pole positions corresponding to the actual force strengths could not be found due to the onset of numerical instabilities. The numerically reliable results achieved, however, make it likely, that three-neutron resonance energies will have large imaginary parts and are therefore physically not interesting. A straightforward application of complex scaling to three-nucleon systems with realistic forces could not be controlled numerically.

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