Charged particles interaction in both a finite volume and a uniform magnetic field

Abstract

A formalism for describing charged particles interaction in both a finite volume and a uniform magnetic field is presented. In the case of short-range interaction between charged particles, we show that the factorization between short-range physics and finite volume long-range correlation effect is possible, a Lüscher formula-like quantization condition is thus obtained.

arXiv commentRevised version, an error in Eq.(63) is corrected, to appear in PRD

References in corpus (66)

• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• A relativistic, model-independent, three-particle quantization condition
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Three particles in a finite volume
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Two Particle States and the $S$-matrix Elements in Multi-channel Scattering
• A method to measure the antikaon-nucleon scattering length in lattice QCD
• Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
• Resonance Parameters of the rho-Meson from Lattice QCD
• Coupled channel analysis of the rho meson decay in lattice QCD
• Three-body Unitarity in the Finite Volume
• The coupled-channel scattering on a torus
• Lattice QCD Calculation of the $\rho$ Meson Decay Width
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Resonance properties from the finite-volume energy spectrum
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• Three-body spectrum in a finite volume: the role of cubic symmetry
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• $\rho$ Meson Decay in 2+1 Flavor Lattice QCD
• Coulomb Effects in Low Energy Proton-Proton Scattering
• Finite-volume spectrum of ${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ systems
• Two- and three-pion finite-volume spectra at maximal isospin from lattice QCD
• $I=3$ three-pion scattering amplitude from lattice QCD
• Spectrum of three-body bound states in a finite volume
• Finite-Volume QED Corrections to Decay Amplitudes in Lattice QCD
• Electroweak Matrix Elements in the Two-Nucleon Sector from Lattice QCD
• An solvable three-body model in finite volume
• Three-body unitarity versus finite-volume ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ spectrum from lattice QCD
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Effective Theory for Trapped Few-Fermion Systems
• Efimov physics in a finite volume
• From bound states to the continuum
• Using infinite volume, continuum QED and lattice QCD for the hadronic light-by-light contribution to the muon anomalous magnetic moment
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Massive photons: an infrared regularization scheme for lattice QCD+QED
• Variational approach to $N$-body interactions in finite volume
• Isospin splittings of meson and baryon masses from three-flavor lattice QCD + QED
• An effective field theory approach to two trapped particles
• Nucleon-Nucleon Scattering in a Harmonic Potential
• One spatial dimensional finite volume three-body interaction for a short-range potential
• An numerical approach for finite volume three-body interaction
• Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
• Charged multi-hadron systems in lattice QCD+QED
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Two-Particle Elastic Scattering in a Finite Volume Including QED
• Nucleon-deuteron scattering using the adiabatic projection method
• Two and Three Nucleons in a Trap and the Continuum Limit
• Flavour singlet physics in lattice QCD with background fields
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• Multi-${\pi }^{+}$ systems in finite volume
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Coupled-channel scattering in 1+1 dimensional lattice model
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Modeling few-body resonances in finite volume
• Propagation of particles on a torus
• A lattice model of heavy-light three-body system
• Extracting free-space observables from trapped interacting clusters
• The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves
• Visualizing resonances in finite volume
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Chiral potential renormalized in harmonic-oscillator space
• Isospin splittings in the decuplet baryon spectrum from dynamical QCD+QED
• QED effects in the pseudoscalar meson sector
• Fermions in Deep Optical Lattice under p-wave Feshbach Resonance
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Myth of scattering in finite volume

Cited by in corpus (7)

• Coulomb corrections to two-particle interaction in artificial traps
• Nuclear reactions in artificial traps
• Charged-particle bound states in periodic boxes
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Polar magneto-optic Kerr and Faraday effects in finite periodic \texorpdfstring{$\mathcal{P}\mathcal{T}$}{PT}-symmetric systems
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Particles in finite volumes and a toy model of decaying neutrons