Indirect<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>α</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>reaction at astrophysical energies

Information on the ${}^{7}\mathrm{Li}(p,\ensuremath{\alpha}{)}^{4}\mathrm{He}$ reaction cross section at energies relevant for astrophysics has been obtained by means of the indirect Trojan-horse method applied to the three-body ${}^{2}\mathrm{H}{(}^{7}\mathrm{Li},\ensuremath{\alpha}\ensuremath{\alpha})n$ reaction. Measurements at ${}^{7}\mathrm{Li}$-beam energies of 19, 19.5, 20, and 21 MeV have been carried out. The results are reported in terms of the astrophysical $S(E)$ factor. The value $S(0)$ measured in the present experiment is compared with that extrapolated from a direct measurement.