Phase equivalent potentials for one-neutron halo systems

Phase equivalent potentials for one-neutron halo systems

By means of supersymmetric quantum mechanics we show that the two-parameter superdeep potential α · sech 2( βr) and its supersymmetric partner give very similar rms values for a core + particle model halo nucleus imitating 11Be. Although the corresponding eigenstates differ in the node-number, our i...

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Bibliographic Details
Published in:Nuclear physics. A Vol. 609; no. 1; pp. 21 - 37
Main Authors: Ridikas, D., Vaagen, J.S., Bang, J.M.
Format: Journal Article
Language:English
Published: Elsevier B.V 04-11-1996
Online Access:Get full text
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Summary:By means of supersymmetric quantum mechanics we show that the two-parameter superdeep potential α · sech 2( βr) and its supersymmetric partner give very similar rms values for a core + particle model halo nucleus imitating 11Be. Although the corresponding eigenstates differ in the node-number, our investigations show that also other physical quantities calculated using these wave functions reflect the nodal structure rather weakly. This lends support to two nearly equivalent treatments of the Pauli principle.
ISSN:0375-9474
DOI:10.1016/0375-9474(96)00316-8