The astrophysical S-factor for dd-reactions at keV-energy range

Abstract The experimental results of measurements of the astrophysical S-factor for dd-reaction at keV-energy range collision energies using liner plasma technique are presented. The experiments were carried out at the high current generator of the Institute of High-Current Electronics in Tomsk, Russia. The measured values of the S-factors for the deuteron collision energies 1.80, 2.06 and 227 keV are <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msub> <m:mi>S</m:mi> <m:mrow> <m:mi>d</m:mi> <m:mi>d</m:mi> </m:mrow> </m:msub> <m:mo>=</m:mo> <m:mo stretchy="false">(</m:mo> <m:mn>114</m:mn> <m:mo>±</m:mo> <m:mn>68</m:mn> <m:mo stretchy="false">)</m:mo> <m:mo>,</m:mo> <m:mo stretchy="false">(</m:mo> <m:mn>64</m:mn> <m:mo>±</m:mo> <m:mn>30</m:mn> <m:mo stretchy="false">)</m:mo> <m:mo>,</m:mo> <m:mo stretchy="false">(</m:mo> <m:mn>53</m:mn> <m:mo>±</m:mo> <m:mn>16</m:mn> <m:mo stretchy="false">)</m:mo> <m:mi>b</m:mi> <m:mo>⋅</m:mo> <m:mi>k</m:mi> <m:mi>e</m:mi> <m:mi>V</m:mi> <m:mo>,</m:mo> </m:mrow> </m:math> ${{S}_{dd}}=(114\pm 68),(64\pm 30),(53\pm 16)b\cdot keV,$ respectively. The corresponding cross sections for dd-reactions, described as a product of the barrier factor and measured astrophysical S-factor, are <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msubsup> <m:mi>σ</m:mi> <m:mrow> <m:mi>d</m:mi> <m:mi>d</m:mi> </m:mrow> <m:mi>n</m:mi> </m:msubsup> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>E</m:mi> <m:mrow> <m:mi>c</m:mi> <m:mi>o</m:mi> <m:mi>l</m:mi> </m:mrow> </m:msub> <m:mo>=</m:mo> <m:mn>1.80</m:mn> <m:mtext>keV</m:mtext> </m:mrow> <m:mo>)</m:mo> </m:mrow> <m:mo>=</m:mo> <m:mo stretchy="false">(</m:mo> <m:mn>4.3</m:mn> <m:mo>±</m:mo> <m:mn>2.6</m:mn> <m:mo stretchy="false">)</m:mo> <m:mo>.</m:mo> </m:mrow> </m:math> $\sigma _{dd}^{n}\left( {{E}_{col}}=1.80\text{keV} \right)=(4.3\pm 2.6).$ <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:msup> <m:mrow> <m:mn>10</m:mn> </m:mrow> <m:mrow> <m:mo>−</m:mo> <m:mn>33</m:mn> </m:mrow> </m:msup> <m:mo> </m:mo> <m:mi>c</m:mi> <m:msup> <m:mi>m</m:mi> <m:mn>2</m:mn> </m:msup> <m:mo>;</m:mo> <m:msubsup> <m:mi>σ</m:mi> <m:mrow> <m:mi>d</m:mi> <m:mi>d</m:mi> </m:mrow> <m:mi>n</m:mi> </m:msubsup> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>E</m:mi> <m:mrow> <m:mi>c</m:mi> <m:mi>o</m:mi> <m:mi>l</m:mi> </m:mrow> </m:msub> <m:mo>=</m:mo> <m:mn>2.06</m:mn> <m:mtext>keV</m:mtext> </m:mrow> <m:mo>)</m:mo> </m:mrow> <m:mo>=</m:mo> <m:mo stretchy="false">(</m:mo> <m:mn>9.8</m:mn> <m:mo>±</m:mo> <m:mn>4.6</m:mn> <m:mo stretchy="false">)</m:mo> <m:mo>⋅</m:mo> <m:msup> <m:mrow> <m:mn>10</m:mn> </m:mrow> <m:mrow> <m:mo>−</m:mo> <m:mn>33</m:mn> </m:mrow> </m:msup> <m:mo> </m:mo> <m:mi>c</m:mi> <m:msup> <m:mi>m</m:mi> <m:mtext>2</m:mtext> </m:msup> <m:mo>;</m:mo> <m:msubsup> <m:mi>σ</m:mi> <m:mrow> <m:mi>d</m:mi> <m:mi>d</m:mi> </m:mrow> <m:mi>n</m:mi> </m:msubsup> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>E</m:mi> <m:mrow> <m:mi>c</m:mi> <m:mi>o</m:mi> <m:mi>l</m:mi> </m:mrow> </m:msub> <m:mo>=</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> ${{10}^{-33}}~c{{m}^{2}};\sigma _{dd}^{n}\left( {{E}_{col}}=2.06\text{keV} \right)=(9.8\pm 4.6)\cdot {{10}^{-33}}~c{{m}^{\text{2}}};\sigma _{dd}^{n}\left( {{E}_{col}}= \right.$

Перевод пока недоступен