Few-body bound states and resonances in finite volume

Abstract

Since the pioneering work of Lüscher in the 1980s it is well known that considering quantum systems in finite volume, specifically, finite periodic boxes, can be used as a powerful computational tool to extract physical observables. While this formalism has been worked out in great detail in the two-body sector, much effort is currently being invested into deriving analogous relations for systems with more constituents. This work is relevant not only for nuclear physics, where lattice methods are now able to calculate few- and many-nucleon states, but also for other fields such as simulations of cold atoms. This article discusses recent progress regarding the extraction of few-body bound-state and resonance properties from finite-volume calculations of systems with an arbitrary number of constituents.

arXiv comment20 pages, 9 figures, to appear in Few-Body Systems

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Cited by in corpus (13)

• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• Finite-volume energy shift of the three-pion ground state
• Three-body resonances in pionless effective field theory
• Finite-volume energy shift of the three-nucleon ground state
• Volume extrapolation via eigenvector continuation
• Charged-particle bound states in periodic boxes
• Complex scaling in finite volume
• Spectrum of light nuclei in a finite volume
• Efficient few-body calculations in finite volume
• Spurious poles in a finite volume
• NuLattice: Ab initio computations of atomic nuclei on lattices
• Perturbative application of next-to-leading order pionless EFT for $A\le 3$ nuclei in a finite volume