中高能重离子弹核碎裂反应研究

通过CR-39 核径迹探测器对471 AMeV 56Fe 和400 AMeV 20Ne 诱发Al,C 和CH₂ 靶反应的弹核碎裂反应截面及出射角度进行了测量,并利用改进的量子分子动力学(ImQMD) 模型和描述统计衰变的GEMINI 模型对实验结果进行了分析和讨论。实验结果表明,总反应截面与弹核的能量无关,但随着靶核质量的增加而增加。这与其他的实验结果以及Bradt-Peters 的半经验理论公式所得结果一致。理论计算和实验测量结果中,分截面出现了明显的奇偶效应。理论计算结果表明,奇偶效应主要产生于受激碎块的衰变过程,其中对效应起着重要作用,而且,主要形成于擦边碰撞的反应中且多来自于同位旋为T_Z = 0; ±0:5 的弹核碎块的贡献。产生碎块的同位素分布与弹核的种类有关,与入射能量和靶核的种类没有太大依赖性,其较小的偏转角大部分来自于擦边碰撞产生的较重的类弹碎块的贡献。We have measured the fragmentation cross sections and the emission angles for 471 AMeV 56Fe and 400AMeV 20Ne on Al, C and CH₂ targets using CR-39 plastic nuclear track detector. The total charge changing cross sections agree well with other previous experimental results at different energies and the theoretical prediction of Bradt-Peters semiempirical formula, which are pproximately independent of the beam energy but increase with the increase of the target mass. The experimental results are compared with the prediction of the improved quantum molecular dynamical model (ImQMD) together with the GEMINI model. The odd-even effect of the partial cross sections observed in experiments is well produced. It is found that such effect is mainly formed in the grazing collisions and comes from the fragments with T_Z = 0; ±0:5. The shape of the isotopic distribution is independent on the target mass and the incident energy but the projectile mass and charge, and the small angular distribution of all fragments comes from the heavier projectile-like fragments which produced in the peripheral collision.     

The fragmentation of 20Ne at 400 A MeV

The total charge-changing cross sections and partial cross sections for the production of projectile fragments are measured in the interactions of 400 A MeV ²⁰Ne with aluminum, carbon and polyethylene targets sandwiched with CR-39 plastic nuclear track detectors. The measured total charge-changing cross sections are compared with the predictions using the Bradt-Peters semi-empirical formula, and the NUCFRAG2 and PHITS models. It is shown that the measured experimental results are in good agreement with the theoretical model prediction and other experimental results, and it can be clearly seen that the partial cross sections for fragment production show obvious odd-even effects.     

Projectile fragment emission in the fragmentation of ~(56)Fe on C,Al and CH_2 targets at 471 A MeV

The emission angle and the transverse momentum distributions of projectile fragments produced in the fragmentation of ⁵⁶Fe on CH₂, C and Al targets at 471 A MeV are measured. It is found that for the same target, the average value and width of the angular distribution decrease with an increase of the projectile fragment charge; for the same projectile fragment, the average value of the distribution increases and the width of the distribution decreases with increasing the target charge number. The transverse momentum distribution of a projectile fragment can be explained by a single Gaussian distribution and the averaged transverse momentum per nucleon decreases with the increase of the charge of projectile fragment. The cumulated squared transverse momentum distribution of a projectile fragment can be explained well by a single Rayleigh distribution. The temperature parameter of the emission source of the projectile fragment, calculated from the cumulated squared transverse momentum distribution, decreases with the increase of the size of the projectile fragment.     

线性模型参数向量的近似贝叶斯估计

用线性贝叶斯方法去同时估计线性模型中回归系数和误差方差,并在不知道先验分布具体形式的情况下,得到了线性贝叶斯估计的表达式.在均方误差矩阵准则下,证明了其优于最小二乘估计和极大似然估计.与利用MCMC算法得到的贝叶斯估计相比,线性贝叶斯估计具有显式表达式并且更方便使用.对于几种不同的先验分布,数值模拟结果表明线性贝叶斯估...     

指数分布中寿命参数的经验贝叶斯检验

本文中,我们利用经验贝叶斯方法研究了指数分布中寿命参数的检验问题.对于假设H0∶θ≤θ0 H1∶θ>θ0,在线性误差损失下,利用两种不同的核估计方法,我们获得了贝叶斯检验风险的同样上界.本文获得的收敛速度优于文献中的早期结果.     

随机效应模型中方差分量渐近最优的经验Bayes估计

本文在加权二次损失下导出了双向分类随机效应模型中方差分量的Bayes估计,并利用多元密度函数及其混合偏导数核估计的方法构造了方差分量的经验Bayes(EB)估计.在适当的条件下证明了EB估计的渐近最优性,给出了模型的特例和推广.最后,举出一个满足定理条件的例子.     

随机删失下刻度参数的单调经验贝叶斯检验

利用经验贝叶斯方法研究了刻度指数族的两行动问题, 提出了一个在历史样本被随机右删失的条件下收敛速度可以任意接近$O(n^{-1})$的单调经验贝叶斯检验.     

拉普拉斯分布参数的近似贝叶斯估计

拉普拉斯分布是刻画尖峰厚尾数据的重要分布之一.本文提出拉普拉斯分布两参数具有显式解的线性近似贝叶斯估计,通过理论证明和数值模拟验证了线性近似贝叶斯估计相比其他估计的优越性,并考察了线性近似贝叶斯估计随着样本量增加的渐近性质.     

刻度指数族参数的经验Bayes估计的收敛速度

本文对刻度指数族在加权平方损失下获得了参数的Bayes估计,并构造了相应的经验Bayes（EB）估计,证明了所提出的EB估计是渐近最优的且有收敛速度,其中1/2≤λ<1,s≥3是一给定的整数.最后,给出了刻度指数族EB估计的两个应用.