<p>Lead (Pb) plays a significant role in the nuclear industry and is extensively used in radiation shielding, radiation protection, neutron moderation, radiation measurements, and various other critical functions. Consequently, the measurement and evaluation of Pb nuclear data are highly regarded in nuclear scientific research, emphasizing its crucial role in the field. Using the time-of-flight (ToF) method, the neutron leakage spectra from three <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\text {nat}}\!\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mtext>nat</mtext> </mmultiscripts> <mspace width="-0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Pb samples were measured at <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(60^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>60</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(120^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>120</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation> based on the neutronics integral experimental facility at the China Institute of Atomic Energy (CIAE). The <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq6.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\text {nat}}\!\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mtext>nat</mtext> </mmultiscripts> <mspace width="-0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>Pb sample sizes were 30&#xa0;cm <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq7.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 30&#xa0;cm <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq8.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 5&#xa0;cm, 30&#xa0;cm <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq9.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 30&#xa0;cm <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq10.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 10&#xa0;cm, and 30&#xa0;cm <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq11.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 30&#xa0;cm <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq12.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\times\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>×</mo> </math></EquationSource> </InlineEquation> 15&#xa0;cm. Neutron sources were generated by the Cockcroft-Walton accelerator, producing approximately&#xa0;14.5&#xa0;MeV and 3.5&#xa0;MeV neutrons through the T(d,n)<InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq13.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{4}\!\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>4</mn> </mmultiscripts> <mspace width="-0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>He and D(d,n)<InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq14.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{3}\!\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mn>3</mn> </mmultiscripts> <mspace width="-0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>He reactions, respectively. Leakage neutron spectra were also calculated by employing the Monte Carlo code of MCNP-4C, and the nuclear data of Pb isotopes from four libraries: CENDL<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq15.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>3.2, JEFF<InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq16.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>3.3, JENDL<InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq17.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>5, and ENDF/B-VIII.0 were used individually. By comparing the simulation and experimental results, improvements and deficiencies in the evaluated nuclear data of the Pb isotopes were analyzed. Most of the calculated results were consistent with the experimental results; however, a few areas did not fit well. In the (n,el) energy range, the simulated results from CENDL<InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq18.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>3.2 were significantly overestimated; in the (n,inl)D and the (n,inl)C energy regions, the results from CENDL<InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq19.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>3.2 and ENDF/B-VIII.0 were significantly overestimated at <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq20.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(120^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>120</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation>, and the results from JENDL<InlineEquation ID="IEq21"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq21.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>5 and JEFF<InlineEquation ID="IEq22"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq22.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>-</mo> </math></EquationSource> </InlineEquation>3.3 are underestimated at <InlineEquation ID="IEq23"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2024_1623_Article_IEq23.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(60^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>60</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation> in the (n,inl)D energy region. The calculated spectra were analyzed by comparing them with the experimental spectra in terms of the neutron spectrum shape and <i>C</i>/<i>E</i> values. The results indicate that the theoretical simulations, using different data libraries, overestimated or underestimated the measured values in certain energy ranges. Secondary neutron energies and angular distributions in the data files have been presented to explain these discrepancies.</p>

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Integral experiment on slab natPb using D-T and D-D neutron sources to validate evaluated nuclear data

  • Kuo-Zhi Xu,
  • Yang-Bo Nie,
  • Chang-Lin Lan,
  • Yan-Yan Ding,
  • Shi-Yu Zhang,
  • Qi Zhao,
  • Xin-Yi Pan,
  • Jie Ren,
  • Xi-Chao Ruan

摘要

Lead (Pb) plays a significant role in the nuclear industry and is extensively used in radiation shielding, radiation protection, neutron moderation, radiation measurements, and various other critical functions. Consequently, the measurement and evaluation of Pb nuclear data are highly regarded in nuclear scientific research, emphasizing its crucial role in the field. Using the time-of-flight (ToF) method, the neutron leakage spectra from three \(^{\text {nat}}\!\) nat Pb samples were measured at \(60^{\circ }\) 60 and \(120^{\circ }\) 120 based on the neutronics integral experimental facility at the China Institute of Atomic Energy (CIAE). The \(^{\text {nat}}\!\) nat Pb sample sizes were 30 cm \(\times\) × 30 cm \(\times\) × 5 cm, 30 cm \(\times\) × 30 cm \(\times\) × 10 cm, and 30 cm \(\times\) × 30 cm \(\times\) × 15 cm. Neutron sources were generated by the Cockcroft-Walton accelerator, producing approximately 14.5 MeV and 3.5 MeV neutrons through the T(d,n) \(^{4}\!\) 4 He and D(d,n) \(^{3}\!\) 3 He reactions, respectively. Leakage neutron spectra were also calculated by employing the Monte Carlo code of MCNP-4C, and the nuclear data of Pb isotopes from four libraries: CENDL \(-\) - 3.2, JEFF \(-\) - 3.3, JENDL \(-\) - 5, and ENDF/B-VIII.0 were used individually. By comparing the simulation and experimental results, improvements and deficiencies in the evaluated nuclear data of the Pb isotopes were analyzed. Most of the calculated results were consistent with the experimental results; however, a few areas did not fit well. In the (n,el) energy range, the simulated results from CENDL \(-\) - 3.2 were significantly overestimated; in the (n,inl)D and the (n,inl)C energy regions, the results from CENDL \(-\) - 3.2 and ENDF/B-VIII.0 were significantly overestimated at \(120^{\circ }\) 120 , and the results from JENDL \(-\) - 5 and JEFF \(-\) - 3.3 are underestimated at \(60^{\circ }\) 60 in the (n,inl)D energy region. The calculated spectra were analyzed by comparing them with the experimental spectra in terms of the neutron spectrum shape and C/E values. The results indicate that the theoretical simulations, using different data libraries, overestimated or underestimated the measured values in certain energy ranges. Secondary neutron energies and angular distributions in the data files have been presented to explain these discrepancies.