Measuring the build-up of gamma rays within materials used as shields is of great importance to accurately assess radiation doses and design effective protective barriers. Taylor's formula was studied to calculate gamma-ray build-up factors, whose application is limited to a specific group of energies and a large number of parameters. The aim of this study is to improve Taylor's formula by developing mathematical formulas to calculate the parameters at each energy to include a wider range of energy and a small, fixed number of parameters. The results demonstrated that the difference between the gamma radiation dose build-up factors calculated according to the two empirical formulas (the previous traditional formula and the current improved formula) remains very small, and the values are more or less identical. In general, it is observed that the accumulation factor decreases with increasing gamma-ray energy and increases with increasing shield thickness. Researchers also explored the intricate impacts of gamma rays on aluminum shields and the subsequent reactions within the material. A number of potential interactions have been found in one of the world's leading laboratories. One of these reactions is selected in this study. It was found that increasing the gamma-ray build-up factor in aluminum is accompanied by an increase in its cross sections. This, in turn, indicates an increased probability of secondary reactions and subsequent gamma-ray emission.

中文翻译：

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用于计算铝中伽马射线累积因子和预期辐射效应的泰勒方程的改进公式


测量用作防护罩的材料内伽马射线的积累对于准确评估辐射剂量和设计有效的防护屏障非常重要。研究泰勒公式是为了计算伽马射线累积因子，其应用仅限于特定的能量组和大量参数。本研究的目的是通过开发数学公式来计算每个能量的参数，以包括更广泛的能量范围和少量固定数量的参数，从而改进泰勒公式。结果表明，根据两个经验公式（以前的传统公式和现在的改进公式）计算出的伽马辐射剂量累积因子之间的差异很小，并且数值大致相同。一般来说，可以观察到累积因子随着伽马射线能量的增加而减小，并且随着屏蔽厚度的增加而增加。研究人员还探索了伽马射线对铝屏蔽的复杂影响以及材料内随后的反应。世界领先的实验室之一发现了许多潜在的相互作用。本研究选择了其中一个反应。研究发现，铝中伽马射线累积系数的增加伴随着其横截面的增加。反过来，这表明二次反应和随后的伽马射线发射的可能性增加。