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Long-range interactions and artificial poles

Stott, JO, Thompson, IJ and Tostevin, JA (1999) Long-range interactions and artificial poles J PHYS G NUCL PARTIC, 25 (11). 2189 - 2195. ISSN 0954-3899

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Abstract

The structure of the three-body continuum of the 6He nucleus within the hyperspherical harmonic calculation scheme has been the subject of extensive study. An approximate treatment of the long-range couplings inherent in such models gives rise to unphysical poles in the deduced S-matrix at complex energies. We consider here a simple two-channel example, which includes long-range interactions, and demonstrates the existence of these artificial S-matrix poles. This is also illustrated in a physical context by considering the extreme adiabatic approximation of the hyperspherical harmonics technique for 6He. A correct treatment of the long-range (1/) behaviour of the channel potentials is shown to remove the artificial poles from the physically significant region of the complex energy plane.

Item Type: Article
Additional Information: Copyright 1999 Institute of Physics. This is the author's accepted manuscript.
Uncontrolled Keywords: HALO NUCLEI, HE-6
Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Symplectic Elements
Date Deposited: 05 Dec 2011 13:09
Last Modified: 23 Sep 2013 18:49
URI: http://epubs.surrey.ac.uk/id/eprint/7555

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