Numerical Calculation of the Ground-State Properties of Nuclear Matter Using theΛ10Approximation

This paper investigates numerically for the case of nuclear matter the consequences of one particular method of terminating the infinite chain of coupled Green's-function equations. Of special interest is a comparison of this ${\Lambda }_{10}$ theory with the ${\Lambda }_{00}$ theory investigated previously. These two approximate theories rely on solution of a $T$-matrix equation and they differ in the selection of the propagator for intermediate states. Using separable, nonlocal potentials the $T$-matrix equations are solved and the bulk properties of the system obtained. Results are presented for the energy and number densities, the effective mass, the nuclear compressibility, and the two-particle correlation function. It is found that the two theories give similar results, with ${\Lambda }_{10}$ predicting several MeV less binding than ${\Lambda }_{00}$ does.