Equation of state of asymmetric nuclear matter: a VMC study

Abstract

Abstract:A Variational Monte Carlo (VMC) method is employed to investigate the properties of symmetric and asymmetric nuclear matter. The realistic Urbana V 14 twonucleon interaction potential of Lagaris and Pandharipande was used to describe the microscopic interactions. Also, many body interactions are included as a density dependent term in the potential. Total kinetic and potential energies per particle are calculated for asymmetric nuclear matter by VMC method at various densities and isospin asymmetry parameters. The results are compared with data found in literature, and it was observed that the results obtained in this study reasonably agree with the results found in the literature. Also, the symmetry energy and incompressibility factor of the nuclear matter were obtained.

A New Expression for Radial Distribution Function of Nuclear Matter

“…If the fourth order and higher order terms in  are ignored, then the total energy per particle of asymmetric nuclear matter can be written as: is called as the symmetry energy. A detailed explanation and information for the properties of the symmetric and asymmetric nuclear matter can be found in our previous publications [18,19].…”

“…The VMC simulation methodology has been reported before in [18,19,22] and the details can be found in those references.…”

Properties of Symmetric Uclear Matter with Skyrme Iteractios

“…In our previous studies, we have obtained ground state properties of symmetric nuclear matter (SNM) [1] and some thermodynamics properties of asymmetric nuclear matter (ASNM) [31]. In this paper, we obtained the new Skyrme parameter set for symmetric nuclear matter by fitting the obtained results from Variational Monte Carlo (VMC) calculations to the Skyrme energy density functional.…”

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

“…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].…”