论文标题
在任意空间维度中，带有三体力的被困和未捕获的三组分费用的病毒系数
Virial coefficients of trapped and un-trapped three-component fermions with three-body forces in arbitrary spatial dimensions
论文作者
论文摘要
使用粗糙的时间晶格近似，我们计算了三个物种费米昂的病毒扩展的前几个术语，其三体接触相互作用在$ d $空间尺寸中，无论是在均质空间中，以及频率$ω$的谐波陷阱。使用三体问题重新归一化，我们报告了第四阶和五阶病毒系数变化的分析结果$ΔB_4$和$ΔB_5$作为$ΔB_3$的函数。此外，我们认为，在$ω\至0 $中限制关系$ b_n^\ text {t} = n^{ - d/2} b_n $在被困（t）和任意温度和均匀强度的均匀系数之间保留（不仅在规模不变的方案中）。最后，我们指出了具有三体力的$Δb_3^^\ text {t} $之间的确切的，通用的（与频率无关的）关系，具有三体力和$Δb_2^\ $Δb_2^\ text {t} $ in 2d at 2d，带有两体力。
Using a coarse temporal lattice approximation, we calculate the first few terms of the virial expansion of a three-species fermion system with a three-body contact interaction in $d$ spatial dimensions, both in homogeneous space as well as in a harmonic trapping potential of frequency $ω$. Using the three-body problem to renormalize, we report analytic results for the change in the fourth- and fifth-order virial coefficients $Δb_4$ and $Δb_5$ as functions of $Δb_3$. Additionally, we argue that in the $ω\to 0$ limit the relationship $b_n^\text{T} = n^{-d/2} b_n$ holds between the trapped (T) and homogeneous coefficients for arbitrary temperature and coupling strength (not merely in scale-invariant regimes). Finally, we point out an exact, universal (coupling- and frequency-independent) relationship between $Δb_3^\text{T}$ in 1D with three-body forces and $Δb_2^\text{T}$ in 2D with two-body forces.
