Factorization Breaking of $A^T_d$ for polarized deuteron targets in a relativistic framework

TL;DR

This paper investigates the conditions under which the tensor asymmetry $A^T_d$ factorizes in polarized deuteron targets within a relativistic model, highlighting the impact of final state interactions and wave function components.

Contribution

It demonstrates that factorization of $A^T_d$ only occurs under specific approximations and shows significant factorization breaking when final state interactions are considered.

Findings

Factorization holds only in plane wave impulse approximation without p-waves.

Final state interactions cause strong factorization breaking.

No systematic link between d-wave content and reduced asymmetry.

Abstract

We discuss the possible factorization of the tensor asymmetry $A^T_d$ measured for polarized deuteron targets within a relativistic framework. We define a reduced asymmetry and find that factorization holds only in plane wave impulse approximation and if p-waves are neglected. Our numerical results show a strong factorization breaking once final state interactions are included. We also compare the d-wave content of the wave functions with the size of the factored, reduced asymmetry and find that there is no systematic relationship of this quantity to the d-wave probability of the various wave functions.