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 -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.
- Received 4 January 1963
- Published in the issue dated June 1963
© 1963 The American Physical Society