The Roper Resonance in a finite volume

Abstract

We calculate the energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian for pions, nucleons, deltas and the Roper resonance at leading one-loop order. We show that the Roper mass can be extracted from these levels for not too large lattice volumes.

22 pages, 5 figures, some minor modifications, accepted for publication in Comm. Theo. Phys

References in corpus (7)

• Chiral Perturbation Theory and Baryon Properties
• Pion-nucleon scattering in the Roper channel from lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• The Delta-resonance in a finite volume
• Chiral corrections to the Roper mass
• Flavor decomposition of the pion-nucleon $\sigma$-term
• Three particles on the lattice