Determining a Skyrme-type effective interaction from realistic two-nucleon interaction

Nuclear Matter Incompressibility: From VMC to Skyrme--Landau Parameterization

“…We use a Monte Carlo method which is the same as the one described by Manisa [8] for nuclear matter. But, we have made our calculations only for symmetric nuclear matter.…”

“…The contribution of the N N interactions to the total energy is calculated for interparticle separations up to a cut off distance of L/2. The pair-distribution function heals quickly and a reasonable approximation to include the contributions of the pairs farther apart is to assume that the density of particles is constant outside this interaction sphere, because the N N interaction is very short ranged [8]. We must use fully occupied closed shells of plane waves for both neutrons and protons in order to preserve the isotropy of the system.…”

“…Dutra et al [15] present a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear saturation density at zero temperature and their density dependence, derived by the liquid drop model in experiments with giant resonances and heavy-ion collisions. In our previous study [8], the properties of symmetric and asymmetric nuclear matter, which are the saturation energy, saturation density, incompressibility, pressure and asymmetry energy coefficient are calculated by the new Skyrme parameter set (SKaan-U14). The SKaan-U14 Skyrme parameter set is generated by fitting the energy results per nucleon, which contains 140 energy values obtained from Variational Monte Carlo (VMC) simulations, to the Skyrme energy density functional [16].…”

“…Using the SKaan-U14 Skyrme parameter set [8], we found a new Landau parameter set for nuclear matter in our previous study [21]. In this study, in order to obtain the Landau parameters, we use the following relations: the generalized Skyrme parameters in terms of the Landau parameters, of E/A and k F [18]…”

“…To experimentally determine the nuclear incompressibility is to measure the compressional-mode giant resonances (ISGMR), and the (183) isoscalar giant dipole resonance (ISGDR) [5]. In this study, nuclear matter equation of state [6][7][8][9][10] is determined using the VMC calculations at nuclear matter ground state condition. A new set of Skyrme parameters is determined by fitting the results obtained from VMC calculations to the Skyrme energy density functional by using Vautherin and Brink method [11].…”