Complex scaling in finite volume
arXiv:2309.03196 · doi:10.1103/PhysRevC.109.014316
Abstract
Quantum resonances, i.e., metastable states with a finite lifetime, play an important role in nuclear physics and other domains. Describing this phenomenon theoretically is generally a challenging task. In this work, we combine two established techniques to address this challenge. Complex scaling makes it possible to calculate resonances with bound-state-like methods. Finite-volume simulations exploit the fact that the infinite-volume properties of quantum systems are encoded in how discrete energy levels change as one varies the size of the volume. We apply complex scaling to systems in finite periodic boxes and derive the volume dependence of states in this scenario, demonstrating with explicit examples how one can use these relations to infer infinite-volume resonance energies and lifetimes.
13 pages, 7 figures, matched published version
References in corpus (42)
- Universality in Few-body Systems with Large Scattering Length
- Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
- Efimov Physics: a review
- Lattice simulations for few- and many-body systems
- Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
- Two Nucleons on a Lattice
- Three particles in a finite volume
- Three-particle scattering amplitudes from a finite volume formalism
- Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
- Three-body Unitarity in the Finite Volume
- Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
- Three-body spectrum in a finite volume: the role of cubic symmetry
- Corrections to nuclear energies and radii in finite oscillator spaces
- Universal properties of infrared oscillator basis extrapolations
- Spectrum of three-body bound states in a finite volume
- Multidimensional extension of the generalized Chowla-Selberg formula
- Generalizing the relativistic quantization condition to include all three-pion isospin channels
- Three pion spectrum in the channel from lattice QCD
- Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
- The triton in a finite volume
- Energy shift of the three-particle system in a finite volume
- Unitarity of the infinite-volume three-particle scattering amplitude arising from a finite-volume formalism
- Three particles in a finite volume: The breakdown of spherical symmetry
- Volume Dependence of N-Body Bound States
- Systematic expansion for infrared oscillator basis extrapolations
- Emergent geometry and duality in the carbon nucleus
- Level Density in the Complex Scaling Method
- Signatures of few-body resonances in finite volume
- Volume Dependence of Bound States with Angular Momentum
- Relativistic-invariant formulation of the NREFT three-particle quantization condition
- Non-relativistic bound states in a finite volume
- Perturbative quantum Monte Carlo method for nuclear physics
- Three relativistic neutrons in a finite volume
- Scattering Wave Functions at Bound State Poles
- Eigenvector continuation for emulating and extrapolating two-body resonances
- Visualizing resonances in finite volume
- Few-body bound states and resonances in finite volume
- 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
- Efficient few-body calculations in finite volume