New anomalous trajectory in Regge theory

TL;DR

The paper introduces a new Regge trajectory with specific properties that explains high-energy hadron scattering and meson photoproduction, linking it to the axial anomaly and the f_1(1285) meson.

Contribution

It proposes a novel Regge trajectory with quantum numbers and properties that extend the Regge theory framework, connecting it to axial anomaly phenomena.

Findings

A new Regge trajectory with _1(0) \u2248 1 and slope '_f_1(0) _1' 0 explains scattering features.

The trajectory's odd signature contributes to spin-dependent cross sections at high energy.

Links established between the trajectory's properties, axial anomaly, and the f_1(1285) meson.

Abstract

We show that a new Regge trajectory with \alpha_{f_1} (0) \approx 1 and slope \alpha_{f_1}'(0) \approx 0 explains the features of hadron-hadron scattering and photoproduction of the rho and phi mesons at large energy and momentum transfer. This trajectory with quantum numbers P = C = +1 and odd signature can be considered as a natural partner of the Pomeron which has even signature. The odd signature of the new exchange leads to contributions to the spin-dependent cross sections, which do not vanish at large energy. The links between the anomalous properties of this trajectory, the axial anomaly and the flavor singlet axial vector f_1 (1285) meson are discussed.