Lowest order constrained variational method applied to liquid $^\mathsf{3}$He

The effect of density dependent Av18 effective interaction on the ground state properties of heavy closed shell nuclei

“…But the inclusion of the three-body force and the isobar degrees of freedom ( -Reid68) [10,28,29,45,46] have improved the behavior of Coester line to the right direction [10,45,46]. For the convergence of LOCV [39,40] formalism and comparison of our result on nuclear matter with other many-body techniques, see Tables I and II of our works in [49][50][51].…”

“…The VMC and CMC formalisms are very involved and their accuracies are not as good as the Green function Monte Carlo techniques [13][14][15][16][17][18][19][20][21][22][23]. Recently, the 16 O and 40 Ca nuclei have been also studied by the CCM and the NCSM [24][25][26][27] with different interactions. However, here again, it is not possible to estimate the accuracy of these methods.…”

“…But still, a reliable many-body technique and a true NN potential are needed to predict the results close the empirical nuclear matter properties. In several of our previous works it has been shown that the application of lowest order constrained variational method (LOCV) [28][29][30][31][32][33][34][35][36][37][38][39][40], to the different realistic phenomenological NN potentials [1][2][3][4][5][6][7][8][9][10][11][12], gives substantially too much binding and large saturation density than the empirical one. During the last three decades, situation has been the same for other techniques [10,[41][42][43][44][45][46][47][48] and potentials [1][2][3][4][5][6][7][8][9][10][11][12].…”

“…The result was encouraging, both with respect to the available experimental data and the different model dependent theoretical predictions [52][53][54]. In Tables 1 and 2, the abstract comparisons have been demonstrated between our approach and the other approximation methods such as: the correlated basis function (CBF-FHNC) [57][58][59][60][61][62][63], the Brueckner local density approximation (BLDA) [55], the coupled cluster (CCM) [27,64], Brueckner-Hartree-Fock (BHF) [65,66], the fermions molecular dynamics (FMD) [67] and the random phase approxi- Table 1 The comparison of ground state binding energies per nucleon (MeV) and RMS radii (fm) of 4 He, 12 C, 16 O and 40 Ca nuclei with different models and experimental data. The NN potential (latest year of calculation) has been specified as the upper (lower) index to the abbreviation of corresponding many-body techniques.…”

The one-body momentum distribution of nuclear matter at finite temperature

“…It means that this method is fully self-consistent. (ii) It considers constraint in the form of normalization condition [17,18] to keep the higher cluster terms as small as possible. As we pointed above, the convergence problem has been tested by calculating the three-body cluster terms with both the state-averaged and state dependent correlation functions [16].…”