Bound States and Low-Energy Neutron Scattering

Phys. Rev. 101, 311 – Published 1 January 1956
R. D. Lawson


Solutions are given for the S states of the potential V(r)=-V0[1+eα(r-a)]. These are used to calculate the position of the giant S-wave neutron resonances at low (zero) energy and the bound states of the potential. If one chooses V0=39.8 Mev, α=2×1013 cm-1 and a=1.35A13×10-13 cm, the potential binds the right number of particles. S-wave maxima in the elastic scattering cross sections then occur at A=13, 64, and 183. The experimental curves show a rise in the total scattering cross section in the region A60 and 180 for small neutron energies.


  • Received 20 September 1955
  • Published in the issue dated January 1956

© 1956 The American Physical Society

Authors & Affiliations

R. D. Lawson

  • Department of Physics, University of California, Berkeley, California

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