Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
arXiv:1707.09222
Abstract
The computation of the thermodynamic properties of nuclear matter is a central task of theoretical nuclear physics. The nuclear equation of state is an essential quantity in nuclear astrophysics and governs the properties of neutron stars and core-collapse supernovæ. The framework of chiral effective field theory provides the basis for the description of nuclear interactions in terms of a systematic low-energy expansion. In this thesis, we apply chiral two- and three-nucleon interactions in perturbative many-body calculations of the thermodynamic equation of state of infinite homogeneous nuclear matter. The conceptual issues that arise concerning the consistent generalization of the standard zero-temperature form of many-body perturbation theory to finite temperatures are investigated in detail. The structure of many-body perturbation theory at higher orders is examined, in particular concerning the role of the so-called anomalous contributions. The first-order nuclear liquid-gas phase transition is analyzed with respect to its dependence on temperature and the neutron-to-proton ratio. Furthermore, the convergence behavior of the expansion of the equation of state in terms of the isospin asymmetry is examined. It is shown that the expansion coefficients beyond the quadratic order diverge in the zero-temperature limit, implying a nonanalytic form of the isospin-asymmetry dependence at low temperatures. This behavior is associated with logarithmic terms in the isospin-asymmetry dependence at zero temperature.
PhD Thesis, Technical University Munich, Supervisors: Norbert Kaiser, Jeremy W. Holt
References in corpus (40)
- Shapiro delay measurement of a two solar mass neutron star
- Chiral effective field theory and nuclear forces
- Comprehensive nucleosynthesis analysis for ejecta of compact binary mergers
- Improved nuclear matter calculations from chiral low-momentum interactions
- Nuclear symmetry energy probed by neutron skin thickness of nuclei
- The Skyrme Interaction in finite nuclei and nuclear matter
- Constraints on neutron star radii based on chiral effective field theory interactions
- Three-body forces: From cold atoms to nuclei
- Testing Approximations of Thermal Effects in Neutron Star Merger Simulations
- Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
- Strongly paired fermions: Cold atoms and neutron matter
- Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
- Incompressibility in finite nuclei and nuclear matter
- Density dependence of the nuclear symmetry energy: a microscopic perspective
- Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
- Revealing the high-density equation of state through binary neutron star mergers
- Phenomenological QCD equation of state for massive neutron stars
- Neutron matter from chiral two- and three-nucleon calculations up to NLO
- Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
- Two-pion exchange three-nucleon potential: O(q^4) chiral expansion
- Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
- Chiral three-nucleon interaction and the carbon-14 dating beta decay
- Momentum space evolution of chiral three-nucleon forces
- The High-Density Symmetry Energy and Direct Urca
- Nuclear Waffles
- From asymmetric nuclear matter to neutron stars: a functional renormalization group study
- Convergence of the Born Series with Low-Momentum Interactions
- Cluster formation in compact stars: relativistic versus Skyrme models
- Nuclear matter properties from local chiral interactions with isobar intermediate states
- Pairing in neutron matter: New uncertainty estimates and three-body forces
- Liquid-gas phase transition in nuclear matter from realistic many-body approaches
- Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
- Neutron matter at finite temperature
- Thermal Properties of Asymmetric Nuclear Matter
- Density-dependent effective baryon-baryon interaction from chiral three-baryon forces
- Charged-current reactions in the supernova neutrino-sphere
- Variational Theory of Hot Nucleon Matter
- Ising analogue to compact-star matter
- Self-consistent Green's functions with three-body forces
- Spin-isospin stability of nuclear matter