• DOI:10.1103/PhysRevD.93.078501
• Corpus ID: 119229480

Comment on “More on Heisenberg’s model for high energy nucleon-nucleon scattering”

@article{Block2016CommentO,
  title={Comment on “More on Heisenberg’s model for high energy nucleon-nucleon scattering”},
  author={Martin M. Block and Loyal Durand and Phuoc Ha and Francis Halzen},
  journal={Physical Review D},
  year={2016},
  volume={93},
  pages={078501}
}

• M. Block, L. Durand, +1 author F. Halzen
• Published 6 April 2016
• Mathematics
• Physical Review D

We comment on the treatment of asymptotic black-disk scattering in a recent paper of Nastase and Sonnenschein [Phys. Rev. D 92, 105028 (2015)] on scattering in an updated version of the Heisenberg model which gives $pp$ and $\overline{p}p$ cross sections which increase at very high energies as ${\mathrm{ln}}^{2}s$. We show that the total cross section they define does not correspond to that measured in experiments, with the result that their limit for the ratio ${\ensuremath{\sigma}}_{\text{elas}}/{\ensuremath{\sigma}}_{\text{tot}}$ is too small by a factor 2. The correct ratio for black-disk scattering, ${\ensuremath{\sigma}}_{\text{elas}}/{\ensuremath{\sigma}}_{\text{tot}}\ensuremath{\rightarrow}1/2$ for $s\ensuremath{\rightarrow}\ensuremath{\infty}$, is strongly supported by experiment.