Fitting the energy level width by using Lorentzian and Gaussian convolutions

Xiliang Gu; Jinghua Qian; Zhendi Guo; Yude Hu

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Fitting the energy level width by using Lorentzian and Gaussian convolutions

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- Fitting the energy level width by using Lorentzian and Gaussian convolutions
- Nuclear Techniques Vol. 08, Issue 5, (1985)
- 作者机构：
  
  复旦大学
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：23 December 1983，
  
  Published：1985
- 稿件说明：
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Xiliang Gu, Jinghua Qian, Zhendi Guo, et al. Fitting the energy level width by using Lorentzian and Gaussian convolutions[J]. Nuclear techniques, 1985, 08(5): 18-20,57.
DOI：

Xiliang Gu, Jinghua Qian, Zhendi Guo, et al. Fitting the energy level width by using Lorentzian and Gaussian convolutions[J]. Nuclear techniques, 1985, 08(5): 18-20,57. DOI：

摘要

一定能量的质子轰击铝靶，可产生共振反应而形成

Si的激发态，其退激时放出的

射线是劳仑兹分布讯号，它反映激发态的能级总宽度

。用

能谱仪测量劳仑兹分布讯号时，实际上测得的能谱应是劳仑兹分布讯号与仪器特征函数的卷积

[1]

，通常认为仪器的响应是高斯分布。所以，测得的能谱是高斯与劳仑兹的卷积，这个卷积就是Voigt积分

[2]

。用最小二乘法拟合这些实验点时，需要用数值方法计算这个积分

Abstract

The

spectra from

A1 (p

)

Si reaction were fitted by using Lorentzian and Gaussian convolutions. The widths of

Si levels produced by resonance reactions have been analyzed for the proton bombarding energy of 992 keV

885keV

774 keV and so on. The results of 「992=105±4 eV

「885=10.8±3.0 еV

「774=14.0±0.5 eV

「767 =45±6 eV

「937=137±14 еV and 「1800=470±30 eV were also compared with other published results.

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Keywords

references

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