2026-06-28T20:23:27Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/517332023-08-27T19:08:48Zcom_20.500.14352_14col_20.500.14352_15

Regge analysis of pion-pion (and pion-kaon) scattering for energy s^(1/2)> 1.4 GeV Peláez Sagredo, José Ramón Ynduráin, F. J. We perform a detailed Regge analysis of NN, πN, KN, π π, and πK scattering. From it, we find expressions that represent the pp 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 s^(1/2) ˃1.4 GeV and for momentum transfers |t|^( ½) ≤0.4 GeV. These Regge formulas are perfectly compatible with the low energy [s^(1/2)~1.4 GeV] scattering amplitudes deduced from π π phase shift analyses as well as with higher energy [s^(1/2)≥1.4 GeV] experimental π π 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 π π scattering amplitude, which bear little resemblance to reality in the region 1.4<s^(1/2)<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 s^(1/2) ˃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 E_(kin)≈.1 GeV to multi-TeV energies. 2023-06-20T11:07:13Z 2023-06-20T11:07:13Z 2023-06-20T11:07:13Z 2004-06 journal article https://hdl.handle.net/20.500.14352/51733 0556-2821 10.1103/PhysRevD.69.114001 eng BFM2000-1326 BFM2002-01003 HPRN-CT-2002-00311. open access American Physical Society