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.

arXiv comment22 pages, 5 figures, some minor modifications, accepted for publication in Comm. Theo. Phys

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Cited by in corpus (4)

• Towards a theory of hadron resonances
• Particle-dimer approach for the Roper resonance in a finite volume
• A unified formulation of one-loop tensor integrals for finite volume effects
• Chirally motivated $\pi \Sigma$-$\bar{K}N$ model in a finite volume