Three-body force contribution in nuclear matter via perturbation and proper Brueckner calculations

Abstract

In a previous paper (~), the energy contribution of the simplest three-body force in nuclear matter was studied via a proper Brueckner theory calculation. Versions I I and I I I of the three-body force of Lois~Atr, NOGAMI and Ross (2) (LNR) were found to contribute respectively 0.8 and 0.7 MeV/A to the binding of the infinite system at normal density, in contrast with BLATT and McK~LLAR'S recent value of 6 MeV/A (3), which is in error due to an incorrect calculation of the effective two-body force 1/3 der ivedfrom the three-body force W(BM'spr ivatecommunicat ion) . Furthermore, a sLNR, they used the perturbation theory with an effective mass m* 1 which we show here to over-estimate the contribution main ly in the 3S~ partial wave. We report on a partial wave per part ial wave comparison between results of perturbation theory and results of the proper Brueckner calculation with the Reid soft core the potential V 2 plus the effective force V 3. In this way we avoid treating V 3 as a perturbation and a meaningful comparison between the two methods is therefore possible. From Mc KELLAR and RAZA~A~AN (4), the contribution to the binding energy of nuclear matter due to the three-body force W only is given by