Title: Radius extrapolations for two-body bound states in finite volume Show Chinese title

Title: 有限体积下双体束缚态的半径外推

Abstract: Simulations of quantum systems in finite volume have proven to be a useful tool for calculating physical observables. Such studies to date have focused primarily on understanding the volume dependence of binding energies, from which it is possible to extract asymptotic properties of the corresponding bound state, as well as on extracting scattering information. For bound states, all properties depend on the size of the finite volume, and for precision studies it is important to understand such effects. In this work, we therefore derive the volume dependence of the mean squared radius of a two-body bound state, using a technique that can be generalized to other static properties in the future. We test our results with explicit numerical examples and demonstrate that we can robustly extract infinite-volume radii from finite-volume simulations in cubic boxes with periodic boundary conditions. Show Chinese abstract

Abstract: 有限体积下量子系统的模拟已被证明是计算物理可观测量的有用工具。 迄今为止，此类研究主要集中在理解束缚能对体积的依赖性上，从中可以提取出相应束缚态的渐近性质，以及提取散射信息。 对于束缚态，所有性质都依赖于有限体积的大小，因此对于精确研究来说，理解这些效应非常重要。 在这项工作中，我们因此推导了双体束缚态均方半径对体积的依赖关系，使用了一种未来可推广到其他静态性质的技术。 我们用明确的数值例子检验了我们的结果，并证明可以从具有周期边界条件的立方盒有限体积模拟中稳健地提取无限体积下的半径。