a Variational Theory of Nuclear Matter.
Abstract
The variational theory is developed, starting with the choice of wave function. A generalized Jastrow product of twobody correlation functions containing central, spin, isospin, tensor, and spinorbit operators is used. The correlation function is generated by a series of twobody Schroedinger equations with boundary conditions which require the wave function to heal at a distance d. Diagram rules are given and a general diagrammatic cluster expansion is derived. Large classes of diagrams contributing to an expectation value can be summed by means of integral equations. The development of single chain, hypernetted chain, and Fermi hypernetted chain (FHNC) equations for central correlations is reviewed. The chain summation methods are extended to sum single operator chains (SOC) for the noncentral operators. The energy expectation value for potentials with six operators are evaluated using the FHNC/SOC functions, with an exact treatment of the commutators involved. The energy is found to have a minimum with respect to variations in all parameters.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1978
 Bibcode:
 1978PhDT........54W
 Keywords:

 Physics: Nuclear;
 Calculus Of Variations;
 Nucleon Potential;
 Variational Principles;
 Astrophysics;
 Many Body Problem;
 Nuclear Physics;
 Nuclear and HighEnergy Physics