Modeling few-body resonances in finite volume

Abstract

Under the assumption of separable interactions, we illustrate how the few-body quantization condition may be formulated in terms of phase shifts in general, which may be useful for describing and modeling of few-body resonances in finite volume.

arXiv commentMatch to published version, to appear in PRD

References in corpus (50)

• Universality in Few-body Systems with Large Scattering Length
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Multiple-channel generalization of Lellouch-Luscher formula
• A relativistic, model-independent, three-particle quantization condition
• Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
• Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude
• Three particles in a finite volume
• Three-particle scattering amplitudes from a finite volume formalism
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• A method to measure the antikaon-nucleon scattering length in lattice QCD
• Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
• Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
• Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
• Effective field theory description of halo nuclei
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• The coupled-channel scattering on a torus
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Resonance properties from the finite-volume energy spectrum
• Dispersive analysis of the decay eta -> 3 pi
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• $I=3$ three-pion scattering amplitude from lattice QCD
• Spectrum of three-body bound states in a finite volume
• Implementing the three-particle quantization condition including higher partial waves
• Generalizing the relativistic quantization condition to include all three-pion isospin channels
• Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum from lattice QCD
• An solvable three-body model in finite volume
• Efimov physics in a finite volume
• Three particles in a finite volume: The breakdown of spherical symmetry
• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• Three-body Final State Interaction in $\eta \to 3\pi$
• On the modification of the Efimov spectrum in a finite cubic box
• Variational approach to $N$-body interactions in finite volume
• The decay $\eta \to 3\pi$: study of the Dalitz plot and extraction of the quark mass ratio $Q$
• Rescattering effects in eta {\to} 3pi decays
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Two- and three-body interactions in ${\phi }^4$ theory from lattice simulations
• An numerical approach for finite volume three-body interaction
• Three-body final state interaction in $\eta \to 3\pi$ updated
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Multi-${\pi }^{+}$ systems in finite volume
• Coupled-channel scattering in 1+1 dimensional lattice model
• Propagation of particles on a torus
• A lattice model of heavy-light three-body system
• Threshold expansion of the three-particle quantization condition
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Myth of scattering in finite volume

Cited by in corpus (15)

• Towards a theory of hadron resonances
• Three-body interactions from the finite-volume QCD spectrum
• Relativistic three-particle quantization condition for nondegenerate scalars
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Scattering of two and three physical pions at maximal isospin from lattice QCD
• $DDK$ system in finite volume
• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• Relativistic $N$-particle energy shift in finite volume
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Coulomb corrections to two-particle interaction in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Nuclear reactions in artificial traps
• Finite-volume energy shift of the three-nucleon ground state
• Spurious poles in a finite volume
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers