The nucleonic matter LOCV calculations in a periodic box versus the FHNC method

A nuclear matter calculation with the tensor-optimized Fermi sphere method with central interaction

“…The equation of state (EOS) for nuclear matter at high density is closely related to the structure of neutron star [1], and at lower density it connects to the α-particle condensation in symmetric nuclear matter [2], together with the α cluster states in finite nuclear system [3]. The typical ab initio methods for nuclear matter calculations are the Brueckner-Hartree-Fock (BHF) [4][5][6], the Brueckner-Bethe-Goldstone (BBG) [5][6][7], the Fermi hypernetted chain/single-operator chain (FHNC/SOC) [8][9][10][11], the selfconsistent Green's function (SCGF) [12][13][14], the auxiliary field diffusion Monte Carlo (AFDMC) [15][16][17], the coupled-cluster (CC) [18][19][20], the lowest-order constrained variational (LOCV) [21][22][23], and so on. The comparative study of the EOS's obtained by BHF, BBG, FHNC/SOC, SCGF, and AFDMC, using the Argonne two-nucleon potentials (AV4', AV6', AV8' and AV18) [24], has disclosed [6] that the EOS for symmetric nuclear matter depends significantly on the ab initio methods, in particular, at the higher density region.…”

Equation of state of asymmetric nuclear matter using re-projected nucleon–nucleon potentials

“…We have also investigated the dependence of nuclear symmetry energy on density and spin polarization with the LOCV method using the AV18 potential [41]. Recently, Tafrihi and Modarres have compared the LOCV, the extended LOCV and FHNC approaches for nuclear matter problems [42][43][44]. They showed that the LOCV computations reasonably agree with those of FHNC, because the formalism of FHNC is developed with the LOCV correlation functions.…”

“…The normalization constraint plays an important role in the minimization of the many-body terms Therefore LOCV and the FHNC approaches give results close to each other when the normalization constraint is imposed in its correct form [44]. The LOCV correlation functions, which satisfy the normalization constraint, have several advantages over the FHNC [42][43][44]. The LOCV correlation functions could be more optimal than those of FHNC since the LOCV correlation functions are statedependent, while the FHNC correlation functions are state-independent [42][43][44].…”

“…The LOCV correlation functions, which satisfy the normalization constraint, have several advantages over the FHNC [42][43][44]. The LOCV correlation functions could be more optimal than those of FHNC since the LOCV correlation functions are statedependent, while the FHNC correlation functions are state-independent [42][43][44]. The correlation functions of FHNC cannot be obtained directly by the minimization of the many-body energy [44,45], while the LOCV correlation functions are obtained by functional minimization of the energy.…”