Reanalysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">Be</mml:mi><mml:mprescripts/><mml:none/><mml:mn>7</mml:mn></mml:mmultiscripts><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>γ</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">B</mml:mi><mml:mprescripts/><mml:none/><mml:mn>8</mml:mn></mml:mmultiscripts></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>factor in a microscopic model

A previous microscopic three-cluster calculation, applied to the $^{7}\mathrm{Be}(p,\ensuremath{\gamma})^{8}\mathrm{B}$ reaction, is updated in several ways: the $^{7}\mathrm{Be}$ description is improved, two nucleon-nucleon interactions are considered, and new experimental information about the scattering lengths is taken into account. Weak changes in the energy dependence of the $S$ factor are obtained. A ``theoretical'' uncertainty is estimated. It amounts to 5% near $1\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$ but reaches more than 10% when energy increases. We suggest that reducing the current uncertainty on the experimental scattering length would significantly reduce the error bar on ${S}_{17}(0)$. Elastic $^{7}\mathrm{Be}+p$ phase shifts are briefly discussed and analyzed for different $^{7}\mathrm{Be}$ deformations. We show that the differences with the potential model are due to shortcomings of that model, such as the lack of $^{7}\mathrm{Be}$ deformation, included in the present approach. We also investigate the $^{8}\mathrm{Li}$ and $^{8}\mathrm{B}$ spectroscopy, electromagnetic transition probabilities, and spectroscopic factors. The $^{5}\mathrm{He}+^{3}\mathrm{H}$ configuration (or mirror) is shown to be important in the ground-state structure.

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