Particle-dimer approach for the Roper resonance in a finite volume
High Energy Physics - Lattice
2023-05-10 v2 High Energy Physics - Phenomenology
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.2212.02171,
title = {Particle-dimer approach for the Roper resonance in a finite volume},
author = {Daniel Severt and Maxim Mai and Ulf-G. Meißner},
journal= {arXiv preprint arXiv:2212.02171},
year = {2023}
}
Comments
37 pages, 8 figures, some minor modifications, accepted for publication in JHEP