Single transverse spin asymmetry of forward neutrons

TL;DR

This paper calculates the single transverse spin asymmetry in forward neutron production in proton-proton collisions, finding that interference effects involving Regge exchanges explain experimental observations.

Contribution

It introduces a novel approach using Regge cut exchanges to accurately predict the observed asymmetry without free parameters.

Findings

The calculated asymmetry matches PHENIX data well.

Absorptive corrections alone are insufficient to explain the asymmetry.

Interference of pion and $a_1$-Reggeon exchanges is the dominant effect.

Abstract

We calculate the single transverse spin asymmetry $A_N(t)$, for inclusive neutron production in $pp$ collisions at forward rapidities relative to the polarized proton in the energy range of RHIC. Absorptive corrections to the pion pole generate a relative phase between the spin-flip and non-flip amplitudes, leading to a transverse spin asymmetry which is found to be far too small to explain the magnitude of $A_N$ observed in the PHENIX experiment. A larger contribution, which does not vanish at high energies, comes from the interference of pion and $a_1$-Reggeon exchanges. The unnatural parity of $a_1$ guarantees a substantial phase shift, although the magnitude is strongly suppressed by the smallness of diffractive $\pi p\to a_1 p$ cross section. We replace the Regge $a_1$ pole by the Regge cut corresponding to the $\pi\rho$ exchange in the $1^+S$ state. The production of such a state, which we treat as an effective pole $a$, forms a narrow peak in the $3\pi$ invariant mass distribution in diffractive $\pi p$ interactions . The cross section is large, so one can assume that this state saturates the spectral function of the axial current and we can determine its coupling to nucleons via the PCAC Goldberger-Treiman relation and the second Weinberg sum rule. The numerical results of the parameter-free calculation of $A_N$ are in excellent agreement with the PHENIX data.