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摘要翻译：
对于同质玻色子硬球系统，作为数密度函数的伦敦基态能量公式，在影响球图像中校正了一对粒子的约化质量，并推广到具有两个和四个本征自由度的费米子硬球系统，在最终的{正则}（或周期，例如面心立方）密堆积密度处有一个双极点，通常与晶体分支有关。改进的流体分支建立在精确的场论微扰理论低密度展开的基础上，适用于多玻色子和多费米子系统，适当地外推到中等密度，但其极限密度是不规则的，或者像经典硬球系统的研究中所建议的那样是{随机}最紧密的。结果表明，与玻色子的最佳可用格林函数蒙特卡罗和扩散蒙特卡罗模拟，以及与双组分费米子的梯形、变分费米超网链和所谓的L-展开式数据的一致性有了很大的提高。
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英文标题：
《Improved Quantum Hard-Sphere Ground-State Equations of State》
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作者：
M.A. Sol\'is, M. de Llano, J.W. Clark, and George A. Baker Jr
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
The London ground-state energy formula as a function of number density for a system of identical boson hard spheres, corrected for the reduced mass of a pair of particles in a sphere-of-influence picture, and generalized to fermion hard-sphere systems with two and four intrinsic degrees of freedom, has a double-pole at the ultimate \textit{regular} (or periodic, e.g., face-centered-cubic) close-packing density usually associated with a crystalline branch. Improved fluid branches are contructed based upon exact, field-theoretic perturbation-theory low-density expansions for many-boson and many-fermion systems, appropriately extrapolated to intermediate densities, but whose ultimate density is irregular or \textit{random} closest close-packing as suggested in studies of a classical system of hard spheres. Results show substantially improved agreement with the best available Green-function Monte Carlo and diffusion Monte Carlo simulations for bosons, as well as with ladder, variational Fermi hypernetted chain, and so-called L-expansion data for two-component fermions.
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PDF链接：
https://arxiv.org/pdf/705.1191
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