# Taking into Account the Centre-of-Mass Correlations in the Cross Sections for Elastic Scattering of Intermediate Energy Protons on the Exotic Nuclei $^6$He and $^8$He

## TL;DR

This paper investigates how nucleon centre-of-mass correlations affect the calculated elastic scattering cross sections of protons on exotic halo nuclei $^6$He and $^8$He at intermediate energies, revealing that previous approximations overestimate cross sections at high momentum transfer.

## Contribution

It introduces a more accurate method for accounting for centre-of-mass correlations in calculating scattering cross sections for exotic nuclei.

## Key findings

- Centre-of-mass correlations significantly influence cross section calculations.
- Previous approximate methods overestimate cross sections at high momentum transfer.
- Refined calculations provide more accurate predictions for proton scattering on halo nuclei.

## Abstract

We calculate the differential cross sections for proton elastic scattering on the exotic halo nuclei $^6$He and $^8$He at energies around $\sim$0.7 GeV at the momentum transfers squared up to 0.30 (GeV/$c$)$^2$ and investigate the influence of the nucleon centre-of-mass correlations on the calculated cross sections. In particular, we show that the approximate account of the centre-of-mass correlations used previously considerably overestimates the cross sections at high values of the momentum transfer.