Finite particle number description of neutron matter using the unitary correlation operator and high-momentum pair methods

Abstract

By using bare Argonne V4' (AV4'), V6' (AV6'), and V8' (AV8') nucleon-nucleon (NN) interactions respectively, the nuclear equations of state (EOSs) for neutron matter are calculated with the unitary correlation operator and high-momentum pair methods. The neutron matter is described under a finite particle number approach with magic number $N=66$ under a periodic boundary condition. The central short-range correlation coming from the short-range repulsion in the NN interaction is treated by the unitary correlation operator method (UCOM) and the tensor correlation and spin-orbit effects are described by the two-particle two-hole (2p2h) excitations of nucleon pairs, in which the two nucleons with a large relative momentum are regarded as a high-momentum pair (HM). With the 2p2h configurations increasing, the total energy per particle of neutron matter is well converged under this UCOM+HM framework. By comparing the results calculated with AV4', AV6', and AV8' NN interactions, the effects of the short-range correlation, the tensor correlation, and the spin-orbit coupling on the density dependence of the total energy per particle of neutron matter are demonstrated. Moreover, the contribution of each Hamiltonian component to the total energy per particle is discussed. The EOSs of neutron matter calculated within the present UCOM+HM framework agree with the calculations of six different microscopic many-body theories, especially in agreement with the auxiliary field diffusion Monte Carlo calculations.

arXiv comment13 pages, 6 figures, 3 tables

References in corpus (57)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Quantum Monte Carlo methods for nuclear physics
• Neutron-Rich Nuclei in Heaven and Earth
• Quantum Monte Carlo Calculations of Light Nuclei
• Surface diffuseness correction in global mass formula
• Self-consistent Green's function method for nuclei and nuclear matter
• Determination of the stiffness of the nuclear symmetry energy from isospin diffusion
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Chiral three-nucleon forces and neutron matter
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• A Constrained Path Monte Carlo Method for Fermion Ground States
• Twist-averaged Boundary Conditions in Continuum Quantum Monte Carlo
• Quantum Monte Carlo method using phase-free random walks with Slater determinants
• Evolution of Nuclear Spectra with Nuclear Forces
• Nuclear Matter and its Role in Supernovae, Neutron Stars and Compact Object Binary Mergers
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Symmetry Energy I: Semi-Infinite Matter
• Density dependence of the symmetry energy and the nuclear equation of state: A Dynamical and Statistical model perspective
• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Monte Carlo Analysis of a New Interatomic Potential for He
• A unitary correlation operator method
• Coupled-cluster calculations of nucleonic matter
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Tensor correlations in the Unitary Correlation Operator Method
• Quantum Monte Carlo Calculations of Neutron Matter
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• Progress in Monte Carlo calculations of Fermi systems: normal liquid 3He
• Cold neutrons trapped in external fields
• Depletion of the nuclear Fermi sea
• Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo
• Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
• Neutron Drops and Skyrme Energy-Density Functionals
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Hot neutron matter from a Self-Consistent Green's Functions approach
• Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He
• Coupled-cluster studies of infinite nuclear matter
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Role of the tensor interaction in He isotopes with a tensor-optimized shell model
• Tensor-optimized antisymmetrized molecular dynamics in nuclear physics
• Tensor-optimized antisymmetrized molecular dynamics as a successive variational method in nuclear many-body system
• An improved single particle potential for transport model simulations of nuclear reactions induced by rare isotope beams
• Successive variational method of the tensor-optimized antisymmetrized molecular dynamics for central interaction in finite nuclei
• Power series expansion method in tensor-optimized antisymmetrized molecular dynamics beyond the Jastrow correlation method
• Improved version of simplified method for including tensor effect in cluster models
• Shell and alpha cluster structures in 8Be with tensor-optimized shell model
• Diagrammatic calculation of thermodynamical quantities in nuclear matter
• Hybridization of tensor-optimized and high-momentum antisymmetrized molecular dynamics for light nuclei with bare interaction
• Short-range correlation in high-momentum antisymmetrized molecular dynamics
• Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics
• The tensor-optimized high-momentum antisymmetrized molecular dynamics with bare interaction and its application in ${}^4$He nucleus
• Variational calculation of nuclear matter in finite particle number approach using unitary correlation operator and high-momentum pair methods
• Tensor optimized Fermi sphere method for nuclear matter -- power series correlated wave function and a cluster expansion

Cited by in corpus (3)

• Nucleon momentum distribution of ${}^{56}\text{Fe}$ from the axially deformed relativistic mean-field model with nucleon--nucleon correlations
• New many-body method using cluster expansion diagrams with tensor-optimized antisymmetrized molecular dynamics
• Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force