Particle-dimer approach for the Roper resonance in a finite volume

Abstract

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.

37 pages, 8 figures, some minor modifications, accepted for publication in JHEP

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Cited by in corpus (2)

• Finite-volume energy shift of the three-nucleon ground state
• Emergence of the $\pi (1300)$ Resonance from Lattice QCD