English

Crouching Sigma, Hidden Scalar in $\gamma\gamma\to\pi^0\pi^0$

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

There has long been speculation about the nature of the σ\sigma-resonance. For three decades Jaffe has argued for a tetraquark composition, while others have claimed it is largely a glueball. A key pointer to its nature is its coupling to two photons. Consequently, there have been recent proposals to observe this important scalar hiding in γγπ0π0\gamma\gamma\to\pi^0\pi^0. We show here that the σ\sigma is already crouching in this cross-section exactly as measured twenty years ago. What is new is that precise knowledge of the position of the σ\sigma-pole, provided by the analysis of the Roy equations, now allows its two photon coupling to be accurately fixed. Its two photon width is found to be (4.1±0.3)(4.1 \pm 0.3) keV, a value far too large for a gluonic, or even a tetraquark, state.

Keywords

Cite

@article{arxiv.hep-ph/0604212,
  title  = {Crouching Sigma, Hidden Scalar in $\gamma\gamma\to\pi^0\pi^0$},
  author = {M. R. Pennington},
  journal= {arXiv preprint arXiv:hep-ph/0604212},
  year   = {2007}
}

Comments

10 pages, 4 figures