### Abstract

The question of the scale of the ππ total cross section is considered. We first give a simple intuitive argument for expecting cross sections in the massless chiral world to be finite. Assuming the universality of P-f Regge couplings, we give a simple dispersion theoretic evaluation of the asymptotic ππ total cross section, σ^{ππ}. We deduce an algebraic expression for σ^{ππ} and find that its scale is determined by 1/m_{ρ{variant}}^{2} or, equivalently, 1/f{hook}_{π}^{2} - just as Pagels conjectured. This relation has a smooth, finite limit as m_{π} tends to zero. Numerically, we obtain σ^{ππ} = 17 ± 4 mb for physical mass pions and 14 ± 3 mb for massless pions.

Original language | English (US) |
---|---|

Pages (from-to) | 305-316 |

Number of pages | 12 |

Journal | Nuclear Physics, Section B |

Volume | 57 |

Issue number | 1 |

DOIs | |

State | Published - Jun 18 1973 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section B*,

*57*(1), 305-316. https://doi.org/10.1016/0550-3213(73)90345-3