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Microscopic study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:math>reaction in a multicluster model

Ali KharbachPhysique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles, B1050 Bruxelles, BelgiumP. DescouvemontPhysique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles, B1050 Bruxelles, Belgium
1998lv
ABI

Abstract

We use the generator coordinate method (GCM) to define multicluster wave functions of the $\ensuremath{\alpha}+(p+n)$ system. Distortion effects of the deuteron are included through a mixing of several $p+n$ configurations. The model is tested on the ${}^{6}\mathrm{Li}$ spectroscopy, and on the $\ensuremath{\alpha}+p$ and $\ensuremath{\alpha}+d$ elastic phase shifts. The comparison with experiment gives a fairly good agreement in all the cases. At low temperatures, we predict a reduction by a factor of 10 of the ${}^{2}\mathrm{H}(\ensuremath{\alpha},\ensuremath{\gamma}{)}^{6}\mathrm{Li}$ reaction rate, with respect to astrophysics compilations. The GCM cross section is also used to test the validity of the extranuclear approximation.

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