# Low-Energy Deuteron-Alpha Elastic Scattering in Cluster Effective Field Theory

## TL;DR

This paper employs cluster effective field theory to analyze low-energy deuteron-alpha elastic scattering, determining phase shifts and cross sections, and validating the EFT approach against experimental data.

## Contribution

It introduces a two-body cluster EFT framework for low-energy $d-$ scattering, providing leading and next-to-leading order phase shift calculations and experimental validation.

## Key findings

- EFT accurately reproduces experimental phase shifts.
- The approach is consistent across multiple partial waves.
- EFT effectively describes low-energy $d-$ scattering.

## Abstract

In this paper, we study the low-energy $d-\alpha$ elastic scattering within the two-body cluster effective field theory (EFT) framework. The importance of the $d(\alpha,\alpha) d$ scattering in the $^6 \textrm{Li} $ production reaction leads us to study this system in an effective way. In the beginning, the scattering amplitudes of each channel are written in a cluster EFT with two-body formalism. Using the effective range expansion analysis for the elastic scattering phase shift of $S$, $P$ and $D$ partial waves, the unknown EFT low-energy coupling constants are determined and the leading and next-to-leading orders EFT results for the phase shift in each channel are presented. To verify the accuracy of the results, we compare experimental phase shift and differential cross section data with obtained results. The accuracy of the EFT results and consistency with the experimental data indicate that the EFT is an effective approach for describing low-energy systems.