Exact solution of the Brueckner-Bethe-Goldstone equation with three-body forces in nuclear matter
Xinle Shang, J. M. Dong, W. Zuo, Peng Yin, U. Lombardo
Abstract
An exact treatment of the operators $Q/e(\ensuremath{\omega})$ and the total momentum is adopted to solve the nuclear matter Bruecker-Bethe-Goldstone equation with two- and three-body forces. The single-particle potential, equation of state, and nucleon effective mass are calculated from the exact $G$ matrix. The results are compared with those obtained under the angle-average approximation and the angle-average approximation with total momentum approximation. It is found that the angle-average procedure, whereas preventing huge calculations of coupled channels, nevertheless provides a fairly accurate approximation. On the contrary, the total momentum approximation turns out to be quite inaccurate compared to its exact counterpart.