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Title: Complex shell model representation including antibound states

Abstract

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 {sup 11}Li in its bound ground state and in {sup 70}Ca(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.

Authors:
; ; ; ;  [1];  [2];  [3];  [4];  [2]
  1. Departamento de Fisica, Facultad de Ciencias Exactas, Ingenieria Y Agrimensura, Universidad Nacional de Rosario, Avenida Pellegrini 250, 2000 Rosario (Argentina)
  2. (KTH), Alba Nova University Center, SE-10691 Stockholm (Sweden)
  3. (France)
  4. (Hungary)
Publication Date:
OSTI Identifier:
20699127
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.72.054322; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BOUND STATE; CALCIUM ISOTOPES; GROUND STATES; LITHIUM 11; NUCLEAR HALOS; RESONANCE; SCATTERING; SHELL MODELS; WAVE FORMS

Citation Formats

Id Betan, R., Liotta, R.J., Sandulescu, N., Vertse, T., Wyss, R., Royal Institute of Technology, Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest-Magurele, Romania, SPhN-DAPNIA, CEA Saclay, F91191 Gif sur Yvette, 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, and Royal Institute of Technology. Complex shell model representation including antibound states. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.72.054322.
Id Betan, R., Liotta, R.J., Sandulescu, N., Vertse, T., Wyss, R., Royal Institute of Technology, Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest-Magurele, Romania, SPhN-DAPNIA, CEA Saclay, F91191 Gif sur Yvette, 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, & Royal Institute of Technology. Complex shell model representation including antibound states. United States. doi:10.1103/PhysRevC.72.054322.
Id Betan, R., Liotta, R.J., Sandulescu, N., Vertse, T., Wyss, R., Royal Institute of Technology, Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest-Magurele, Romania, SPhN-DAPNIA, CEA Saclay, F91191 Gif sur Yvette, 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, and Royal Institute of Technology. Tue . "Complex shell model representation including antibound states". United States. doi:10.1103/PhysRevC.72.054322.
@article{osti_20699127,
title = {Complex shell model representation including antibound states},
author = {Id Betan, R. and Liotta, R.J. and Sandulescu, N. and Vertse, T. and Wyss, R. and Royal Institute of Technology and Institute of Physics and Nuclear Engineering, P.O. Box MG-6, Bucharest-Magurele, Romania, SPhN-DAPNIA, CEA Saclay, F91191 Gif sur Yvette and 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 and Royal Institute of Technology},
abstractNote = {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 {sup 11}Li in its bound ground state and in {sup 70}Ca(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.},
doi = {10.1103/PhysRevC.72.054322},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}