| 1. |
- Betan, Rodolfo Id, et al.
(author)
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A shell model representation with antibound states
- 2004
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In: Physics Letters B. - : Elsevier BV. - 0370-2693 .- 1873-2445. ; 584:1-2, s. 48-57
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Journal article (peer-reviewed)abstract
- An unified shell model scheme is introduced that evaluates simultaneously the contributions of bound single-particle states, Gamow resonances and antibound states to processes occurring in the continuum part of nuclear spectra. This new scheme allows us to study the effect of the antibound pole and the remaining part of the complex continuum separately. The calculations, performed in the complex energy plane, are applied to the study of weakly bound nuclei. The influence of antibound states upon physical quantities in light as well as in heavy nuclei is assessed.
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| 2. |
- Betan, Rodolfo Id., et al.
(author)
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Description of the continuum part of the spectrum by using the complex. energy plane
- 2005
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In: Journal of Physics G. - : IOP Publishing. - 0954-3899 .- 1361-6471. ; 31:8, s. S1329-S1336
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Journal article (peer-reviewed)abstract
- Processes occurring in the continuum part of the spectrum are described by using a basis consisting of bound and antibound states plus Gamow resonances and the continuum background. The calculations, performed in the complex energy plane, are applied to the study of weakly bound nuclei. The influence of antibound states upon physical quantities in halo nuclei is assessed.
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| 3. |
- Id Betan, Rodolfo M, et al.
(author)
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Complex shell model representation including antibound states
- 2005
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In: Physical Review C. Nuclear Physics. - 0556-2813 .- 1089-490X. ; 72:5, s. 054322-
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Journal article (peer-reviewed)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 Li-11 in its bound ground state and in Ca-70(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.
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| 4. |
- Id Betan, Rodolfo M., et al.
(author)
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Complex shell model with antibound states
- 2005
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In: Key Topics in Nuclear Structure. - : WORLD SCIENTIFIC. ; , s. 91-101
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Conference paper (peer-reviewed)abstract
- An unified shell model scheme to evaluate simultaneously the contributions of bound single-particle states, Gamow resonances, antibound (virtual) states and continuum complex scattering states is presented. The formalism could be very suitable to study processes occurring in the continuum part of the nuclear spectra.
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| 5. |
- Id Betan, Rodolfo M, et al.
(author)
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Two-particle resonances in the complex energy plane
- 2004
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In: Few-body systems. - : Springer Science and Business Media LLC. - 0177-7963 .- 1432-5411. ; 34:1-3, s. 51-56
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Journal article (peer-reviewed)abstract
- An evaluation of two-particle resonances in the complex energy plane is presented. The representation used in the method consists of bound and antibound single-particle states, Gamow resonances and scattering waves on the complex energy plane. Within this representation the structure of halo nuclei is studied.
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| 6. |
- Johnson, Calvin W., et al.
(author)
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White paper: From bound states to the continuum
- 2020
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In: Journal of Physics G: Nuclear and Particle Physics. - : IOP Publishing. - 0954-3899 .- 1361-6471. ; 47:12
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Research review (peer-reviewed)abstract
- This white paper reports on the discussions of the 2018 Facility for Rare Isotope Beams Theory Alliance (FRIB-TA) topical program ‘From bound states to the continuum: Connecting bound state calculations with scattering and reaction theory’. One of the biggest and most important frontiers in nuclear theory today is to construct better and stronger bridges between bound state calculations and calculations in the continuum, especially scattering and reaction theory, as well as teasing out the influence of the continuum on states near threshold. This is particularly challenging as many-body structure calculations typically use a bound state basis, while reaction calculations more commonly utilize few-body continuum approaches. The many-body bound state and few-body continuum methods use different language and emphasize different properties. To build better foundations for these bridges, we present an overview of several bound state and continuum methods and, where possible, point to current and possible future connections.
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