论文标题
在物理点和单位性处，不同潜在模型的骨骼的结构特性n = 2-10 n = 2-10
Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
论文作者
论文摘要
Since the $^4$He dimer supports only one weakly bound state with an average interatomic distance much larger than the van der Waals length and no deeply bound states, $^4$He$_N$ clusters with $N>2$ are a paradigmatic model system with which to explore foundational concepts such as large $s$-wave scattering length universality, van der Waals universality, Efimov physics, and effective field theories.这项工作介绍了结构属性，例如配对和三重分布函数，超大密度，在距其他$ N-1 $原子质量中心的$ n $ th粒子中找到$ n $ th粒子的可能性以及选定的触点。还提出了动能释放，可以通过专用尺寸选择的分子束实验来测量，至少对于小$ n $ - - 也会提出。 The structural properties are determined for three different realistic $^4$He-$^4$He interaction potentials and contrasted with those for an effective low-energy potential model from the literature that reproduces the energies of $^4$He$_N$ clusters in the ground state for $N=2$ to $N=\infty$ at the $\gtrsim 95$~percent level with just four input parameters.通过人为地削弱相互作用电位，该研究扩展到单位性（无限$ s $波散射长度）。除了有助于对小骨氦量子液滴的表征，我们的研究还提供了对有效低能理论的各种结构特性的可预测性的见解。
Since the $^4$He dimer supports only one weakly bound state with an average interatomic distance much larger than the van der Waals length and no deeply bound states, $^4$He$_N$ clusters with $N>2$ are a paradigmatic model system with which to explore foundational concepts such as large $s$-wave scattering length universality, van der Waals universality, Efimov physics, and effective field theories. This work presents structural properties such as the pair and triple distribution functions, the hyperradial density, the probability to find the $N$th particle at a given distance from the center of mass of the other $N-1$ atoms, and selected contacts. The kinetic energy release, which can be measured via Coulomb explosion in dedicated size-selected molecular beam experiments -- at least for small $N$ -- , is also presented. The structural properties are determined for three different realistic $^4$He-$^4$He interaction potentials and contrasted with those for an effective low-energy potential model from the literature that reproduces the energies of $^4$He$_N$ clusters in the ground state for $N=2$ to $N=\infty$ at the $\gtrsim 95$~percent level with just four input parameters. The study is extended to unitarity (infinite $s$-wave scattering length) by artificially weakening the interaction potentials. In addition to contributing to the characterization of small bosonic helium quantum droplets, our study provides insights into the effective low-energy theory's predictability of various structural properties.
