AhKin: A modular and efficient code for the Doppler shift attenuation method
AhKin: A modular and efficient code for the Doppler shift attenuation method
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AhKin：多普勒频移衰减方法的模块化高效代码
DOI：
10.1016/j.cpc.2019.07.017
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发表时间：
2020
影响因子：
6.3
通讯作者：
Tao, Molei
中科院分区：
文献类型：
--
作者：
Garzón, Alejandro;Rodriguez, Wilmar;Cristancho, Fernando;Tao, Molei
本文提出了一套用多普勒频移衰减法（DSAM）测量核态寿命τ的程序。该算法是基于分析的概率模型的过程中发生的DSAM实验。这种分析使我们能够将理论线形的计算公式化为积分变换的应用，该积分变换将级联时间（从原子核产生到状态衰变所经过的时间）的概率密度转换为实验室参考系中（缩放的）光子能量的概率密度。该积分变换的核心封装了与原子核停止和光子探测过程相关的信息，与状态衰变过程无关，因此不需要在每次尝试候选τ值时重新计算，从而允许快速计算理论线形。进一步的效率是通过使用算法，近似连续的随机变量适当选择的离散的。这些代码用于测量83 Y的正常变形带的激发态的寿命和侧馈时间（Rodriguez等人，2019），发现所有状态的实验线形与最佳拟合理论线形之间具有良好的一致性。节目摘要节目标题：AhKin Program Files doi：http：//dx. doi。org/10.17632/559kb329p2. 1许可证条款：MIT编程语言：C++问题的性质：用多普勒频移衰减法测量核激发态寿命。这涉及到模拟测量的能量谱（线形）的光子发射在激发态之间的过渡的原子核在停止材料中旅行。原子核速度随时间的减小将状态寿命与观测到的光子能量的多普勒频移联系起来。测量的寿命被假定为产生最接近实验光谱的理论线形的值。解决方法：一个概率模型允许制定的理论线型的计算作为一个积分变换的评价，转换的级联时间的概率密度的多普勒频移的光子能谱。该积分变换的核独立于状态衰减过程，并且不需要针对候选寿命值的每次尝试重新计算，从而允许快速计算线形。通过用离散随机变量近似连续随机变量，获得了额外的算法效率。
We present a set of programs for measuring lifetimes τ of nuclear states by the Doppler shift attenuation method (DSAM). The algorithms are based on the analysis of a probabilistic model of the processes occurring during a DSAM experiment. This analysis allows us to formulate the calculation of the theoretical lineshape as the application of an integral transform that converts the probability density of the cascade time (the time elapsed from nucleus creation to state decay) into the probability density of the (scaled) photon energy in the laboratory reference frame. The kernel of this integral transform, which encapsulates information related to the processes of nuclei stopping and photon detection, is independent of the state decay process, and hence needs not be recalculated on every trial of a candidate τ-value, allowing for fast computation of theoretical lineshapes. Further efficiency is gained by using algorithms that approximate continuous random variables by suitably chosen discrete ones. These codes were used to measure the lifetimes and sidefeeding times of the excited states of the normally deformed bands of 83 Y (Rodriguez, et al. 2019) finding for all states good agreement between the experimental lineshape and the best-fitting theoretical one. Program summary Program Title: AhKin Program Files doi: http://dx. doi. org/10.17632/559kb329p2. 1 Licensing provisions: MIT Programming language: C++ Nature of problem: Measurement of lifetimes of excited nuclear states by the Doppler shift attenuation method. This involves simulating the measured energy spectrum (lineshape) of photons emitted in transitions between excited states of a nucleus traveling in a stopping material. The reduction in time of the nucleus velocity relates the state lifetime to the observed Doppler shift of the photon’s energy. The measured lifetime is assumed as the value producing the theoretical lineshape that best approximates the experimental spectrum. Solution method: A probabilistic model allows to formulate the computation of theoretical lineshapes as the evaluation of an integral transform that converts the probability density of cascade times to the Doppler-shifted photon energy spectrum. The kernel of this integral transform is independent of the state decay process, and need not be recalculated for every trial of a candidate lifetime value, permitting swift computation of lineshapes. Additional algorithmic efficiency is obtained by approximating continuous random variables by discrete ones.
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