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Nuclear Few-body Systems in Finite Volume

Talk by Hang Yu from North Carolina State University on Nov. 21, 2023 Abstract: Finite-volume methods are well-established techniques in simulations of quantum systems. They reveal real-world properties from discrete energy levels in artificial finite boxes. In this talk, I briefly review Lüscher's original idea and then introduce recent developments for systems with long-range Coulomb forces and for studies of resonances in finite volume. In Lüscher's original idea, the finite volume properties assume interactions that are short-range and, therefore, pose no problem for imposing periodic boundary conditions around the box. This assumption works well in light nuclei and LQCD simulations. With nuclear simulations reaching the medium-mass region, however, the long-range Coulomb force becomes significant and should be considered non-perturbatively. I will present a method to include this long-range force in finite-volume bound-state calculations and apply the result to lattice computations to extract parameters relevant to nucleosynthesis processes. I will also demonstrate a technique that applies complex scaling in finite volume. This technique is not only useful for studying resonances in finite volume but also, importantly, allows finite-volume analyses without varying box sizes. This is valuable for ab initio lattice simulations where access to larger volumes is limited.