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Recent Advances in the Microscopic Calculations of Level Densities by the Shell Model Monte Carlo Method

机译:水平密度微观计算的最新进展   壳模型蒙特卡罗方法

摘要

The shell model Monte Carlo (SMMC) method enables calculations in modelspaces that are many orders of magnitude larger than those that can be treatedby conventional methods, and is particularly suitable for the calculation oflevel densities in the presence of correlations. We review recent advances andapplications of SMMC for the microscopic calculation of level densities. Recentdevelopments include (i) a method to calculate accurately the ground-stateenergy of an odd-mass nucleus, circumventing a sign problem that originates inthe projection on an odd number of particles, and (ii) a method to calculatedirectly level densities, which, unlike state densities, do not include thespin degeneracy of the levels. We calculated the level densities of a family ofnickel isotopes $^{59-64}$Ni and of a heavy deformed rare-earth nucleus$^{162}$Dy and found them to be in close agreement with various experimentaldata sets.
机译:壳模型蒙特卡洛(SMMC)方法可以在比常规方法可以处理的模型空间大许多数量级的模型空间中进行计算,并且特别适用于存在相关性时的水平密度计算。我们回顾了SMMC在液位密度的微观计算中的最新进展和应用。最近的发展包括(i)一种精确计算奇数原子核的基态能的方法,规避了源自奇数个粒子投影的符号问题,以及(ii)一种直接计算能级密度的方法,该方法不同于状态密度,不包括自旋退化级。我们计算了镍同位素$ ^ {59-64} $ Ni族和重变形稀土核$ ^ {162} $ Dy的能级密度,发现它们与各种实验数据集非常吻合。

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