Surface Properties of Ground-State Nuclear Matter

Phys. Rev. 130, 1891 – Published 1 June 1963
John C. Reynolds

Abstract

A general method is derived for extending the many-body formalism of Martin and Schwinger to macroscopic inhomogeneous systems. This method is applied to the Puff-Martin approximation for nuclear matter and used to compute the properties of a plane nuclear surface. An iterative self-consistency computation is used, and a generalized effective-mass approximation is imposed to simplify the wave equation. The particle interaction is taken to be a separable Yamaguchi potential with an S-state hard shell. The results show a smoothly varying density and self-energy, with a surface thickness of 2.33 F. A calculation of the surface energy term in the Weizsäcker semiempirical mass formula gives 18.79 MeV.

DOI: http://dx.doi.org/10.1103/PhysRev.130.1891

  • Received 4 January 1963
  • Published in the issue dated June 1963

© 1963 The American Physical Society

Authors & Affiliations

John C. Reynolds*

  • Applied Mathematics Division, Argonne National Laboratory, Argonne, Illinois

  • *Ph.D. thesis submitted to Harvard University, May 1961, a National Science Foundation Predoctoral Fellow.

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