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Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He

 

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Opened Access Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He
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Author: Casal Berbel, Jesús
Rodríguez Gallardo, Manuela
Arias Carrasco, José Miguel
Department: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Date: 2013-06-29
Published in: Physical Review C - Nuclear Physics, 88 (1), 014327-1-014327-11.
Document type: Article
Abstract: Recently, a square-integrable discrete basis, obtained performing a simple analytical local scale transformation to the harmonic oscillator basis, has been proposed and successfully applied to study the properties of two-body systems. Here, the method is generalized to study three-body systems. To test the goodness of the formalism and establish its applicability and limitations, the capture reaction rate for the nucleosynthesis of the Borromean nucleus 6He (4He+n+n) is addressed. Results are compared with previous publications and with calculations based on actual three-body continuum wave functions, which can be generated for this simple case. The obtained results encourage the application to other Borromean nuclei of astrophysical interest such as 9Be and 12C, for which actual three-body continuum calculations are very involved.
Cite: Casal Berbel, J., Rodríguez Gallardo, M. y Arias Carrasco, J.M. (2013). Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He. Physical Review C - Nuclear Physics, 88 (1), 014327-1-014327-11.
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URI: http://hdl.handle.net/11441/64299

DOI: 10.1103/PhysRevC.88.014327

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