Self-consistent Green's functions with three-body forces

Abstract

The present thesis aims at studying the properties of symmetric nuclear and pure neutron matter from a Green's functions point of view, including two-body and three-body chiral forces. An extended self-consistent Green's function formalism is defined to consistently incorporate three-body forces in the many-body calculations. The effect of three-nucleon interactions is included via the construction of a dressed two-body density dependent force. This is obtained performing an average of the leading order three-body terms in the chiral effective field theory expansion. The dressed force corresponds to the use of an in-medium propagator in the average which takes into account the correlations characterizing the system at each stage of the many-body calculation. The total energy of the system is obtained by means of a modified Galitskii-Migdal-Koltun sumrule to correctly account for the effect of three-body forces. Microscopic as well as macroscopic properties of symmetric nuclear and pure neutron matter are analyzed in detailed.

PhD Thesis, Supervisors: Artur Polls and Arnau Rios, University: Universitat de Barcelona

References in corpus (70)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• An accurate nucleon-nucleon potential with charge-independence breaking
• The equation of state for nucleon matter and neutron star structure
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• The two-nucleon system at next-to-next-to-next-to-leading order
• Constraints on the density dependence of the symmetry energy
• Three-Nucleon Forces from Chiral Effective Field Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Realistic models of pion-exchange three-nucleon interactions
• The Two-Nucleon Potential from Chiral Lagrangians
• Self-consistent Green's function method for nuclei and nuclear matter
• Three-body forces and the limit of oxygen isotopes
• Chiral three-nucleon forces and neutron matter
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Renormalization of One-Pion Exchange and Power Counting
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Neutron matter from chiral effective field theory interactions
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Coupled-cluster calculations of nucleonic matter
• Coupled-cluster theory for three-body Hamiltonians
• Isotopic chains around oxygen from evolved chiral two- and three-nucleon interactions
• Chiral 2pi exchange at order four and peripheral NN scattering
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Low-momentum interaction in few-nucleon systems
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Self-consistent Green's functions formalism with three-body interactions
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Correlations in Hot Asymmetric Nuclear Matter
• Determination of the chiral coupling constants c3 and c4 in new pp and np partial-wave analyses
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• Role of Long-Range Correlations on the Quenching of Spectroscopic Factors
• Four-nucleon force in chiral effective field theory
• Saturation of nuclear matter and short-range correlations
• A Self-Consistent Solution to the Nuclear Many-Body Problem at Finite Temperature
• Depletion of the nuclear Fermi sea
• Nuclear symmetry energy and the role of the tensor force
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
• Saturation from nuclear pion dynamics
• Momentum space evolution of chiral three-nucleon forces
• Asymmetry dependence of proton correlations
• Hot neutron matter from a Self-Consistent Green's Functions approach
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Quasiparticle and quasihole states of nuclei around 56Ni
• The proton-proton weak capture in chiral effective field theory
• Shear viscosity of neutron matter from realistic nucleon-nucleon interactions
• Coupled-cluster studies of infinite nuclear matter
• In medium T-matrix for nuclear matter with three-body forces - binding energy and single particle properties
• Faddeev treatment of long-range correlations and the one-hole spectral function of O16
• Quasiparticles in Neon using the Faddeev Random Phase Approximation
• The Nucleon Spectral Function at Finite Temperature and the Onset of Superfluidity in Nuclear Matter
• Neutron matter at finite temperature
• Comparative study of three-nucleon potentials in nuclear matter
• Nucleon-nucleus optical potential in the particle-hole approach
• Thermodynamic properties of nuclear matter with three-body forces
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• The entropy of a correlated system of nucleons
• Self-consistent Green's functions calculation of the nucleon mean-free path
• Sum rules and short-range correlations in nuclear matter at finite temperature
• Accuracy of the Faddeev Random Phase Approximation for Light Atoms
• Ab initio calculations on nuclear matter properties including the effects of three-nucleons interaction

Cited by in corpus (8)

• Equations of state for supernovae and compact stars
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Pairing in high-density neutron matter including short- and long-range correlations
• Pairing in high-density neutron matter including short- and long-range correlations
• Self-consistent Green's function approaches
• Comparison of nuclear hamiltonians using spectral function sum rules
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Pairing in bulk nuclear matter beyond BCS