The Nuclear Matter Test of Variational Effective Interactions (Published)

This paper presents the nuclear matter test of seven variational effective interactions derived on the basis of lowest order constrained variational approach (LOCV). Three of these effective interactions, derived from the matrix elements of the Reid93 potential and named N3Y-Fetal, N’3Y-Fetal and N^∗3Y-Fetal based on nuclear systems A = 16, 40 and 90 respectively, are primarily studied and compared with the first set of four effective interactions, derived from the matrix elements of the Reid68, consisting of the B3Y-Fetal, B^′3Y-Fetal, B^∗3Y-Fetal and B^†3Y-Fetal effective interactions based on nuclear systems A = 16, 24, 40 and 90 respectively. The results of this study have revealed that the binding energies E_A0 = -8.6, -12.3 and -7.7 MeV of the cold symmetric nuclear matter (SNM) respectively produced by N3Y-Fetal, N^′3Y-Fetal and N^∗3Y-Fetal effective interactions at the saturation density, ρ₀ = 0.17fm⁻³ clearly reflect their mass dependence, but do not satisfy the saturation condition, E_A0= -16.0±1 MeV, meaning they have failed to reproduce the saturation properties of nuclear matter. Comparing these effective interactions with the B3Y-Fetal, B^′3Y-Fetal, B^∗3Y-Fetal and B^†3Y-Fetal effective interactions with the binding energies, E_A0 = -15.2, -14.5, -11.2 and -8.2 MeV respectively for SNM at the saturation density, the findings of this study have established the B3Y-Fetal, out of the seven variational effective interactions presented herein, as the most viable with the highest predictive power, followed by the B’3Y-Fetal effective interaction. Following this, a review of the performance of the B3Y-Fetal effective interaction in nuclear matter and nuclear reactions in its DDM3Yn, BDM3Yn and CDM3Yn density dependences, leading to the presentation of the new B3Y-Fetal-based CDM3Y-K parametrizations and the DDB3Y1-Fetal and BDB3Y1-Fetal curves of equation of state in this work, has so far shown it to be in excellent agreement with the M3Y-Reid and M3Y-Paris effective interactions. These findings indicate the possibility of its successful application in α-nucleus elastic scattering, nuclear fusion, α- and cluster-radioactive decay in future research efforts

Keywords: Interactions, matter, nuclear, test of variational

A Microscopic Study of Nuclear Symmetry Energy with an Effective Interaction Derived from Variational Calculations (Published)

In this paper, a microscopic calculation of nuclear symmetry energy has been carried out with a new M3Y-type effective interaction derived from variational calculations. The new effective interaction, called B3Y-Fetal in this work, has been used in its DDM3Y1, BDM3Y0 and BDM3Y1 density dependent versions within the framework of Hartree-Fock approximation to obtain the values of 30.5, 30.6 and 30.7 MeV respectively for symmetry energy at the nuclear matter saturation density, ρ₀ = 0.17 fm^-3. When compared with an empirical symmetry energy of 31.6 ± 2.7 MeV established based on several analyses of terrestrial Nuclear Physics experiments and astronomical observations, these values of symmetry energy have been found to be in excellent agreement. The curves of symmetry energy obtained with the three density-dependent versions of the B3Y-Fetal effective interaction at different proton-neutron asymmetries in this work have also been found to demonstrate good agreement with previous work done with M3Y-Reid and M3Y- Paris effective interactions

Keywords: microscopic study, nuclear, symmetry energy, variational calculations