<p>To overcome the difficulty and high cost of some specific isotopic targets, a substitution method was proposed to measure the cross section of the (<InlineEquation ID="IEq13"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n) reactions. Considering that the natural copper element (<InlineEquation ID="IEq14"> <EquationSource Format="TEX">$^\text {nat}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mtext>nat</mtext> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu) only has <InlineEquation ID="IEq15"> <EquationSource Format="TEX">$^{63}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>63</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu and <InlineEquation ID="IEq16"> <EquationSource Format="TEX">$^{65}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>65</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu isotopes, the <InlineEquation ID="IEq17"> <EquationSource Format="TEX">$^{65}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>65</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(<InlineEquation ID="IEq18"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n)<InlineEquation ID="IEq19"> <EquationSource Format="TEX">$^{64}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>64</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu reaction was taken as an example to test the substitution method. Using quasi-monoenergetic <InlineEquation ID="IEq20"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation> beams provided by the Shanghai Laser Electron Gamma Source (SLEGS) of the Shanghai Synchrotron Radiation Facility (SSRF), <InlineEquation ID="IEq21"> <EquationSource Format="TEX">$^\text {nat}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mtext>nat</mtext> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(<InlineEquation ID="IEq22"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n) was measured from <InlineEquation ID="IEq23"> <EquationSource Format="TEX">$E_\gamma =$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>E</mi> <mi>γ</mi> </msub> <mo>=</mo> </mrow> </math></EquationSource> </InlineEquation> 11.09 MeV to 17.87 MeV. Furthermore, based on the <InlineEquation ID="IEq24"> <EquationSource Format="TEX">$^{63}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>63</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(<InlineEquation ID="IEq25"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n) reaction measured using the same experimental setup at SLEGS, <InlineEquation ID="IEq26"> <EquationSource Format="TEX">$^{65}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>65</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(<InlineEquation ID="IEq27"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n)<InlineEquation ID="IEq28"> <EquationSource Format="TEX">$^{64}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>64</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu was extracted using the substitution method. The abundance variation of natural copper, showing a significant influence on the cross section, was also investigated. The results were compared to the existing experimental data measured by bremsstrahlung and positron annihilation in-flight sources, and the TALYS 2.0 predictions. The <InlineEquation ID="IEq29"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation> strength function (<InlineEquation ID="IEq30"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>SF) of <InlineEquation ID="IEq31"> <EquationSource Format="TEX">$^{65}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>65</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu was obtained from the <InlineEquation ID="IEq32"> <EquationSource Format="TEX">$^{65}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>65</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(<InlineEquation ID="IEq33"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>, n) data, and the reaction cross section of <InlineEquation ID="IEq34"> <EquationSource Format="TEX">$^{64}$</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>64</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Cu(n, <InlineEquation ID="IEq35"> <EquationSource Format="TEX">$\gamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>) was further calculated.</p>

A substitution measurement for cross section of $^{65}$Cu($\gamma$, n)$^{64}$Cu reaction using $^\text {nat}$Cu and $^{63}$Cu targets by quasi-monoenergetic $\gamma$ beams at SLEGS

期刊论文
发表日期：

2025年10月17日

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Pu Jiao,
Zi-Rui Hao,
Zhi-Cai Li,
Qian-Kun Sun,
Long-Xiang Liu,
Hang-Hua Xu,
Yue Zhang,
Meng-Die Zhou,
Wen Luo,
Yu-Xuan Yang,
Sheng Jin,
Kai-Jie Chen,
Shan Ye,
Zhen-Wei Wang,
Yu-Ting Wang,
Hui-Ling Wei,
Yao Fu,
Kun Yu,
Hong-Wei Wang,
Gong-Tao Fan,
Chun-Wang Ma

摘要

To overcome the difficulty and high cost of some specific isotopic targets, a substitution method was proposed to measure the cross section of the ( $\gamma$ $γ$ , n) reactions. Considering that the natural copper element ( $^\text {nat}$ $^{nat}$ Cu) only has $^{63}$ $^{63}$ Cu and $^{65}$ $^{65}$ Cu isotopes, the $^{65}$ $^{65}$ Cu( $\gamma$ $γ$ , n) $^{64}$ $^{64}$ Cu reaction was taken as an example to test the substitution method. Using quasi-monoenergetic $\gamma$ $γ$ beams provided by the Shanghai Laser Electron Gamma Source (SLEGS) of the Shanghai Synchrotron Radiation Facility (SSRF), $^\text {nat}$ $^{nat}$ Cu( $\gamma$ $γ$ , n) was measured from $E_\gamma =$ $E_{γ} =$ 11.09 MeV to 17.87 MeV. Furthermore, based on the $^{63}$ $^{63}$ Cu( $\gamma$ $γ$ , n) reaction measured using the same experimental setup at SLEGS, $^{65}$ $^{65}$ Cu( $\gamma$ $γ$ , n) $^{64}$ $^{64}$ Cu was extracted using the substitution method. The abundance variation of natural copper, showing a significant influence on the cross section, was also investigated. The results were compared to the existing experimental data measured by bremsstrahlung and positron annihilation in-flight sources, and the TALYS 2.0 predictions. The $\gamma$ $γ$ strength function ( $\gamma$ $γ$ SF) of $^{65}$ $^{65}$ Cu was obtained from the $^{65}$ $^{65}$ Cu( $\gamma$ $γ$ , n) data, and the reaction cross section of $^{64}$ $^{64}$ Cu(n, $\gamma$ $γ$ ) was further calculated.

A substitution measurement for cross section of \(^{65}\)Cu(\(\gamma\), n)\(^{64}\)Cu reaction using \(^\text {nat}\)Cu and \(^{63}\)Cu targets by quasi-monoenergetic \(\gamma\) beams at SLEGS

摘要