English

Is the $\sigma$ meson dynamically generated?

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

We study the problem whether the σ\sigma meson is generated `dynamically'. A pedagogical analysis on the toy O(N) linear sigma model is performed and we find that the large NcN_c limit and the mσm_\sigma\to \infty limit does not commute. The sigma meson may not necessarily be described as a dynamically generated resonance. On the contrary, the sigma meson may be more appropriately described by considering it as an explicit degree of freedom in the effective lagrangian.

Cite

@article{arxiv.hep-ph/0611007,
  title  = {Is the $\sigma$ meson dynamically generated?},
  author = {Zhi-hui Guo and L. Y. Xiao and H. Q. Zheng},
  journal= {arXiv preprint arXiv:hep-ph/0611007},
  year   = {2008}
}

Comments

Contribution to ``Quark Confinement and Hadron Spectrum VII'', 2--7 Sept. 2006, Ponta Delgada, Acores, Portugal