Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
arXiv:1707.02176 · doi:10.1007/JHEP10(2017)115
Abstract
We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.
36 pages, 9 figures
References in corpus (20)
- A relativistic, model-independent, three-particle quantization condition
- Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
- Nuclear Physics from Lattice QCD
- Resonances in coupled πK,ηK scattering from quantum chromodynamics
- Scalar mesons in a finite volume
- Resonances in coupled scattering from lattice QCD
- Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
- Cusps in K --> 3 pi decays
- Scalar mesons moving in a finite volume and the role of partial wave mixing
- From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
- Pion-nucleon scattering in the Roper channel from lattice QCD
- Excited hadrons on the lattice: Baryons
- Three-body Unitarity with Isobars Revisited
- Efimov physics in a finite volume
- The triton in a finite volume
- One spatial dimensional finite volume three-body interaction for a short-range potential
- Construction of energy-independent potentials above inelastic thresholds in quantum field theories
- Applying the relativistic quantization condition to a three-particle bound state in a periodic box
- Positive-parity Excited-states of the Nucleon in Quenched Lattice QCD
- Even parity excitations of the nucleon in lattice QCD
Cited by in corpus (19)
- Pentaquark and Tetraquark states
- Three-body Unitarity in the Finite Volume
- Implementing the three-particle quantization condition including higher partial waves
- Three-body Unitarity with Isobars Revisited
- Relativistic three-particle quantization condition for nondegenerate scalars
- Alternative derivation of the relativistic three-particle quantization condition
- Equivalence of relativistic three-particle quantization conditions
- An numerical approach for finite volume three-body interaction
- Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
- Finite-volume energy shift of the three-pion ground state
- Pole position of the resonance in a three-body unitary framework
- Decay amplitudes to three hadrons from finite-volume matrix elements
- Modeling few-body resonances in finite volume
- Consistency checks for two-body finite-volume matrix elements: I. Conserved currents and bound states
- On the three-particle analog of the Lellouch-Lüscher formula
- A lattice model of heavy-light three-body system
- Six-pion amplitude
- Few-body bound states and resonances in finite volume
- Three particles on the lattice