Deuteron spin structure functions in the resonance and DIS regions

TL;DR

This paper develops a comprehensive formalism relating nuclear and nucleon spin structure functions across all Q^2 regions, specifically applying it to the deuteron to understand nuclear corrections in neutron structure studies.

Contribution

It introduces relations between nuclear and nucleon g_1 and g_2 functions valid at all Q^2, including resonance and DIS regions, with a focus on the deuteron.

Findings

Nuclear corrections vary significantly between exact kinematics and large Q^2 approximations.

The formalism accurately describes spin structure functions in both resonance and DIS regions.

Application to the deuteron highlights the importance of precise nuclear correction calculations.

Abstract

We derive relations between spin-dependent nuclear and nucleon g_1 and g_2 structure functions within the nuclear impulse approximation, which are valid at all Q^2, and in both the resonance and deep inelastic regions. We apply the formalism to the specific case of the deuteron, which is often used as a source of neutron structure information, and compare the size of the nuclear corrections calculated using exact kinematics and using approximations applicable at large Q^2.