Chiral corrections to the Roper mass

Abstract

We analyze the quark mass dependence of the Roper mass to one-loop order in relativistic baryon chiral perturbation theory. The loop integrals are evaluated using infrared regularization which preserves chiral symmetry and establishes a chiral counting scheme. The derived chiral expansion of the Roper mass may prove useful for chiral extrapolations of lattice data. For couplings of natural size the quark mass dependence of the Roper mass is similar to the one of the nucleon.

10 pages, 2 figures

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• Pion-delta sigma-term

Cited by in corpus (22)

• Baryon spectroscopy
• Chiral Perturbation Theory and Baryon Properties
• Three particles in a finite volume
• Towards a theory of hadron resonances
• Nucleon-pion-state contribution in lattice calculations of the nucleon charges $g_A,g_T$ and $g_S$
• Electroproduction of the Roper resonance on the proton: the role of the three-quark core and the molecular N-sigma component
• Mass and width of the Roper resonance using complex-mass renormalization
• On the effect of excited states in lattice calculations of the nucleon axial charge
• Magnetic moment of the Roper resonance
• The width of the Roper resonance in baryon chiral perturbation theory
• Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
• Electromagnetic transition form factors of the Roper resonance in effective field theory
• The Role of the Roper in Chiral Perturbation Theory
• The reaction $\pi N\to \omega N$ in a dynamical coupled-channel approach
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• The Hadron Spectrum from Lattice QCD
• The Roper Resonance in a finite volume
• Electromagnetic transition form factors of the Roper resonance in baryon chiral perturbation theory
• Towards a theory of baryon resonances
• Pion axioproduction revisited
• Another walk through the world of chiral dynamics
• Chiral corrections to the $1^{-+}$ exotic meson mass