Hamiltonian effective field theory in elongated or moving finite volume

Abstract

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively. We also consider the combination of the two systems when directions of the elongation and the moving momentum are aligned. This extension should also be applicable in any Hamiltonian formalism. As a demonstration, we analyze lattice QCD results for the spectrum of an isospin-2 $\pi \pi$ scattering system and determine the $s$, $d$, and $g$ partial-wave scattering information. The inclusion of lattice simulation results from moving frames significantly improves the uncertainty in the scattering information.

31 pages, 5 figures

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Cited by in corpus (10)

• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• Two-particle scattering from finite-volume quantization conditions using the plane wave basis
• Regularisation in Nonperturbative Extensions of Effective Field Theory
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• Pion Photoproduction off Nucleon with Hamiltonian Effective Field Theory
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Inverse scattering problem with a bare state
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• Higher order finite volume quantization conditions for two spinless particles
• Higher order quantization conditions for two-body scattering with spin