Deuterium-tritium fusion γ -ray spectrum at MeV energies with application to reaction-in-flight inertial confinement fusion measurements

In inertial confinement fusion implosions, tertiary reaction-in-flight processes create deuterium-tritium fusion reactions <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mo>[</a:mo><a:mi mathvariant="normal">T</a:mi><a:msup><a:mrow><a:mo>(</a:mo><a:mi>d</a:mi><a:mo>,</a:mo><a:mi>n</a:mi><a:mo>)</a:mo></a:mrow><a:mn>4</a:mn></a:msup><a:mi>He</a:mi><a:mo>]</a:mo></a:mrow></a:math> with an incident particle moving at MeV energies instead of the thermonuclear keV temperatures. Additional relativistic kinematic treatments were added to a nuclear resonance code, , and resulting calculations showed an upshifting of the deuterium-tritium fusion <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:mi>γ</c:mi></c:math>-ray pathway <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mrow><d:mo>[</d:mo><d:mi mathvariant="normal">T</d:mi><d:msup><d:mrow><d:mo>(</d:mo><d:mi>d</d:mi><d:mo>,</d:mo><d:mi>γ</d:mi><d:mo>)</d:mo></d:mrow><d:mn>5</d:mn></d:msup><d:mi>He</d:mi><d:mo>]</d:mo></d:mrow></d:math> for MeV interactions. Using the calculated spectra, a representative reaction-in-flight <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mi>γ</f:mi></f:math>-ray emission for ICF implosions was estimated. Published by the American Physical Society 2024