The two pion decay of the Roper resonance

Abstract

We evaluate the two pion decay of the Roper resonance in a model where explicit re-scattering of the two final pions is accounted for by the use of unitarized chiral perturbation theory. Our model does not include an explicit $\epsilon$ or $\sigma$ scalar-isoscalar meson decay mode, instead it generates it dynamically by means of the pion re-scattering. The two ways, explicit or dynamically generated, of introducing this decay channel have very different amplitudes. Nevertheless, through interference with the other terms of the model we are able to reproduce the same phenomenology as models with explicit consideration of the $\epsilon$ meson.

17 latex pages, 11 eps figures. A few misprints corrected. A few new references. Version accepted for publication in Phys. Rev. C

References in corpus (8)

• ππscattering
• What is the structure of the Roper resonance?
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• $\sigma$ Exchange in the NN Interaction within the Chiral Unitary Approach
• The radiative decay phi - gamma pi pi in a coupled channel model and the structure of f0(980)
• A meson-exchange model of the associated photoproduction of vector mesons and N*(1440) resonances
• Microscopic $NN\to N{N}^{\ast }(1440)$ transition potential: Determination of $\pi N{N}^{\ast }(1440)$ and $\sigma N{N}^{\ast }(1440)$ coupling constants
• Two-pion decay modes of the N*(1440) in n p -> d pi pi

Cited by in corpus (18)

• New results on the Roper resonance and the P_{11} partial wave
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Phenomenological analysis of the double pion production in nucleon-nucleon collisions up to 2.2 GeV
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Study of the p p -> p p pi+ pi- Reaction in the Low-Energy Tail of the Roper Resonance
• Structure of the Roper Resonance from Lattice QCD Constraints
• Time Delay Plots of Unflavoured Baryons
• Electromagnetic Transition Form Factors of Baryon Resonances
• Chiral corrections to the Roper mass
• Neutrino induced threshold production of two pions and N^*(1440) electroweak form factors
• The width of the Roper resonance in baryon chiral perturbation theory
• Roper resonances in chiral quark models
• $2\pi$ production in the Giessen coupled-channel model
• Ground-state baryon masses in the perturbative chiral quark model
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• The pi N -> pi pi N reaction around the N(1440) energy
• Chiral Symmetry and N*(1440) -> N pi pi Decay
• Mechanism of Pion Production in $alpha$p Scattering at 1 GeV/nucleon