Envelope solitary waves and their reflection and transmission due to impurities in a granular material

A nonlinear Schrdinger equation in one-dimensional bead chain is first obtained and an envelope solitary wave of the system is verified numerically in this system. The reflection and the transmission of an incident envelope solitary wave due to impurities has also been investigated. It is found that the magnitudes of both the reflection and the transmission not only depend on the characters of impurity materials, the wave number, the incident wave amplitude, but also on the impurity number. This can be used to detect the character and the number of the impurity materials in the bead chain by measuring the reflection and the transmission of an incident pulse.     

基于色散光学模型的40Ca核子散射数据计算

对钙同位素核数据的研究具有重要的理论价值和应用前景,其中⁴⁰Ca作为天然钙最主要的同位素,是一种重要的材料核素.本文采用色散光学模型对球形核⁴⁰Ca的核子弹性散射数据进行计算.通过考虑色散光学模型势中实部势的非定域性以及虚部势的壳间隙结构,实现了对⁴⁰Ca相关核子散射数据的良好描述,其中包括中子总截面、核子弹性散射角分布以及分析本领.此外,本文计算了色散光学模型势的实部体积分,其随能量的变化图像在费米能附近出现了明显的色散峰结构.