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.

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