A Stringy (Holographic) Pomeron with Extrinsic Curvature

TL;DR

This paper models the soft pomeron in QCD using a holographic scalar string with extrinsic curvature, showing how curvature influences scattering amplitudes and diffractive peaks.

Contribution

It introduces a holographic string model with extrinsic curvature to describe the soft pomeron, highlighting the impact of curvature on scattering characteristics.

Findings

Extrinsic curvature affects the dipole-dipole scattering amplitude.

Diffractive peak features are sensitive to string curvature.

Model provides insights into elastic $pp$ scattering.

Abstract

We model the soft pomeron in QCD using a scalar Polyakov string with extrinsic curvature in the bottom-up approach of holographic QCD. The overall dipole-dipole scattering amplitude in the soft pomeron kinematics is shown to be sensitive to the extrinsic curvature of the string for finite momentum transfer. The characteristics of the diffractive peak in the differential elastic $pp$ scattering are affected by a small extrinsic curvature of the string.