Particle-dimer approach for the Roper resonance in a finite volume
Daniel Severt, Maxim Mai, Ulf-G. Meißner
Abstract
A bstract We propose a new finite-volume approach which implements two- and three-body dynamics in a transparent way based on an Effective Field Theory Lagrangian. The formalism utilizes a particle-dimer picture and formulates the quantization conditions based on the self-energy of the decaying particle. The formalism is studied for the case of the Roper resonance, using input from lattice QCD and phenomenology. Finally, finite-volume energy eigenvalues are predicted and compared to existing results of lattice QCD calculations. This crucially provides initial guidance on the necessary level of precision for the finite-volume spectrum.
Topics & Concepts
PhysicsFinite volume methodLattice QCDFormalism (music)Eigenvalues and eigenvectorsPhenomenology (philosophy)Quantum chromodynamicsLagrangianQuantization (signal processing)Lattice (music)Particle physicsClassical mechanicsQuantum electrodynamicsMathematical physicsQuantum mechanicsMathematicsVisual artsPhilosophyAcousticsAlgorithmEpistemologyArtMusicalQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions ResearchParticle physics theoretical and experimental studies