Multi-${\pi }^{+}$ systems in finite volume

Abstract

We present a formalism to describe two-${\pi }^{+}$ and three-${\pi }^{+}$ dynamics in finite volume, the formalism is based on combination of a variational approach and the Faddeev method. Both pair-wise and three-body interactions are included in the presentation. Impacts of finite lattice spacing and the cubic lattice symmetry are also discussed. To illustrate application of the formalism, the pair-wise contact interaction that resembles the leading order interaction terms in chiral effective theory is used to analyze recent lattice results.

Mislabeling of 3 pions irreps are corrected in Fig.6. Fig.7 is replotted as (k/mpi)*cot*delta vs (k/mpi)^2. A few comments are added in text

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Cited by in corpus (18)

• Towards a theory of hadron resonances
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Three-body interactions from the finite-volume QCD spectrum
• The energy-dependent ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ scattering amplitude from QCD
• 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
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Modeling few-body resonances in finite volume
• Coulomb corrections to two-particle interaction in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Visualizing resonances in finite volume
• Nuclear reactions in artificial traps
• Particle-dimer approach for the Roper resonance in a finite volume
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Trapped two-nucleon system in energy-dependent effective field theory