Asymptotic Normalization Coefficient of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>8</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>B</mml:mi></mml:math>from Breakup Reactions and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">S</mml:mi></mml:mrow><mml:mrow><mml:mn>17</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Astrophysical Factor

We show that asymptotic normalization coefficients (ANC) can be extracted from one-nucleon breakup reactions of loosely bound nuclei at 30--300 MeV/nucleon. In particular, the breakup of ${}^{8}\mathrm{B}$ is described in terms of an extended Glauber model. The ${}^{8}\mathrm{B}$ ANC extracted from breakup data at several energies and on different targets, ${C}_{\mathrm{tot}}^{2}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.450\ifmmode\pm\else\textpm\fi{}0.039{\mathrm{fm}}^{\ensuremath{-}1}$, leads to the astrophysical factor ${S}_{17}(0)\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}17.4\ifmmode\pm\else\textpm\fi{}1.5\mathrm{eV}\mathrm{b}$ for the key reaction for solar neutrino production ${}^{7}\mathrm{Be}(p,\ensuremath{\gamma}{)}^{8}\mathrm{B}$. The procedure described provides an indirect method to determine reaction rates of astrophysical interest with beams of loosely bound radioactive nuclei.

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