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Exact solution of the Brueckner-Bethe-Goldstone equation with three-body forces in nuclear matter

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arxiv 2107.12228 v1 pith:K7CWXTR3 submitted 2021-07-26 nucl-th

classification nucl-th
keywords approximationexactangle-averageequationmomentumtotalcomparedforces
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An exact treatment of the operators Q/e(\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.

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