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Phys. Rev. C 72, 054322 (2005) [16 pages]

Complex shell model representation including antibound states

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R. Id Betan*
Departamento de Fisica, Facultad de Ciencias Exactas, Ingeniería Y Agrimensura, Universidad Nacional de Rosario, Avenida Pellegrini 250, 2000 Rosario, Argentina

R. J. Liotta
Royal Institute of Technology (KTH), Alba Nova University Center, SE-10691 Stockholm, Sweden

N. Sandulescu
Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest-Magurele, Romania, SPhN-DAPNIA, CEA Saclay, F91191 Gif sur Yvette, France

T. Vertse
Institute of Nuclear Research of the Hungarian Academy of Sciences, H-4001 Debrecen, Pf. 51, Hungary, University of Debrecen, Faculty of Information Science, H-4010 Debrecen, Pf. 12, Hungary

R. Wyss
Royal Institute of Technology (KTH), Alba Nova University Center, SE-10691 Stockholm, Sweden

Received 2 July 2005; published 30 November 2005

A generalization of the complex shell model formalism is presented that includes antibound states in the basis. These states, together with bound states, Gamow states, and the continuum background, represented by properly chosen scattering waves, form a representation in which all states are treated on the same footing. Two-particle states are evaluated within this formalism, and observable two-particle resonances are defined. The formalism is illustrated in the well-known case of 11Li in its bound ground state and in 70Ca(g.s.), which is also bound. Both cases are found to have a halo structure. These halo structures are described within the generalized complex shell model. We investigated the formation of two-particle resonances in these nuclei, but no evidence of such resonances was found.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.72.054322
DOI:
10.1103/PhysRevC.72.054322
PACS:
21.10.Tg, 23.50.+z, 24.10.Eq

*Electronic address: idbetan@ifir.edu.ar