The mass of the Delta resonance in a finite volume: fourth-order calculation

Abstract

We calculate the self-energy of the Delta (1232) resonance in a finite volume, using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion and yield an explicit parameterization of the energy spectrum of the interacting pion-nucleon pair in a finite box in terms of both the quark mass and the box size L. It is shown that finite-volume corrections can be sizeable at small quark masses.

arXiv comment21 pages, 7 figures

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Cited by in corpus (14)

• Scattering processes and resonances from lattice QCD
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Different pole structures in line shapes of the $X(3872)$
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Aspects of meson-baryon scattering in three- and two-flavor chiral perturbation theory
• Light quark mass dependence in heavy quarkonium physics
• On the axial-vector form factor of the nucleon and chiral symmetry
• Axial-vector form factors of the baryon octet and chiral symmetry
• When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
• Extraction of the resonance parameters at finite times
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• The Beauty of Spin
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization