Regge analysis of pion-pion (and pion-kaon) scattering for energy s1/2>1.4 GeV
Abstract
We perform a detailed Regge analysis of NN, πN, KN, ππ, and πK scattering. From it, we find expressions that represent the ππ scattering amplitudes with an accuracy of a few percent for exchange of isospin zero and ∼15% for exchange of isospin 1, and this for energies s1/2>1.4 GeV and for momentum transfers |t|1/2≲0.4 GeV. These Regge formulas are perfectly compatible with the low energy (s1/2∼1.4 GeV) scattering amplitudes deduced from ππ phase shift analyses as well as with higher energy (s1/2≳1.4 GeV) experimental ππ cross sections. They are also compatible with NN, KN, and πN experimental cross sections using factorization, a property that we check with precision. This contrasts with results from current phase shift analyses of the ππ scattering amplitude, which bear little resemblance to reality in the region 1.4<s1/2<2 GeV, as they are not well defined and increasingly violate a number of physical requirements when the energy grows. πK scattering is also considered, and we present a Regge analysis for these processes valid for energies s1/2>1.7 GeV. As a by-product of our analysis, we obtain also a fit of NN, πN, and KN cross sections valid from c.m. kinetic energy Ekin≃1 GeV to multi-TeV energies.
- Publication:
-
Physical Review D
- Pub Date:
- June 2004
- DOI:
- 10.1103/PhysRevD.69.114001
- arXiv:
- arXiv:hep-ph/0312187
- Bibcode:
- 2004PhRvD..69k4001P
- Keywords:
-
- 12.40.Nn;
- 11.55.Jy;
- 13.75.Lb;
- Regge theory duality absorptive/optical models;
- Regge formalism;
- Meson-meson interactions;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- New section added, extending the pion-nucleon and nucleon nucleon Regge description to Multi TeV energies. Conclusions on pion-pion scattering unchanged