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

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.
Comment: Comments: 12 pages, 2 figures. Submitted to Physics of Atomic Nuclei