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Three-body continuum states on a Lagrange mesh

par Descouvemont, Pierre ;Tursunov, Ergash ;Baye, Daniel Jean
Référence Nuclear Physics A, 765, 3-4, page (370-389)
Publication Publié, 2006

Article révisé par les pairs

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Résumé :

Three-body continuum states are investigated with the hyperspherical method on a Lagrange mesh. The R-matrix theory is used to treat the asymptotic behaviour of scattering wave functions. The formalism is developed for neutral as well as for charged systems. We point out some specificities of continuum states in the hyperspherical method. The collision matrix can be determined with a good accuracy by using propagation techniques. The method is applied to the 6He (= α + n + n) and 6Be (= α + p + p) systems, as well as to 14Be (= 12Be + n + n). For 6He, we essentially recover results of the literature. Application to 14Be suggests the existence of an excited 2+ state below threshold. The calculated BE2) value should make this state observable with Coulomb excitation experiments. © 2005 Elsevier B.V. All rights reserved.