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

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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