Resonating-Group Calculation of Radiative Capture Reactions <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>α</mi><mo>(</mo><mrow><mmultiscripts><mrow><mi mathvariant="normal">He</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>3</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow><mo>,</mo><mi>γ</mi><mo>)</mo><mrow><mmultiscripts><mrow><mi mathvariant="normal">Be</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>7</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>α</mi><mo>(</mo><mi>t</mi><mo>,</mo><mi>γ</mi><mo>)</mo><mrow><mmultiscripts><mrow><mi mathvariant="normal">Li</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>7</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> at Astrophysical Low Energies

Toshitaka Kajino; Akito Arima

doi:10.1103/PhysRevLett.52.739

Resonating-Group Calculation of Radiative Capture Reactions $α ({}^{3}{He}, γ) {}^{7}{Be}$ and $α (t, γ) {}^{7}{Li}$ at Astrophysical Low Energies

Toshitaka Kajino and Akito Arima

Phys. Rev. Lett. 52, 739 – Published 27 February 1984

Abstract

Total cross sections and astrophysical $S$ factors of the radiative capture reactions $α ({}^{3}{He}, γ) {}^{7}{Be}$ and $α (t, γ) {}^{7}{Li}$ are investigated by the resonating-group method. The theoretical value of the $S$ factor at $E_{c . m .} = 10$ keV is predicted to be 0.508 keV·b without the use of any artificial parameters. An interesting difference between the mirror reactions is found and theoretically explained.