English

The two pion decay of the Roper resonance

Nuclear Theory 2016-09-08 v2

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 ϵ\epsilon or σ\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 ϵ\epsilon meson.

Keywords

Cite

@article{arxiv.nucl-th/0209009,
  title  = {The two pion decay of the Roper resonance},
  author = {E. Hernández and E. Oset and M. J. Vicente Vacas},
  journal= {arXiv preprint arXiv:nucl-th/0209009},
  year   = {2016}
}

Comments

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