Local chiral effective field theory interactions and quantum Monte Carlo applications

Abstract

We present details of the derivation of local chiral effective field theory interactions to next-to-next-to-leading order, and show results for nucleon-nucleon phase shifts and deuteron properties for these potentials. We then perform systematic auxiliary-field diffusion Monte Carlo calculations for neutron matter based on the developed local chiral potentials at different orders. This includes studies of the effects of the spectral-function regularization and of the local regulators. For all orders, we compare the quantum Monte Carlo results with perturbative many-body calculations and find excellent agreement for low cutoffs.

17 pages, 11 figures, published version, LA-UR-14-23894

References in corpus (18)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraints on neutron star radii based on chiral effective field theory interactions
• Three-body forces: From cold atoms to nuclei
• Strongly paired fermions: Cold atoms and neutron matter
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Precision calculation of the pi^- deuteron scattering length and its impact on threshold pi-N scattering
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Cold neutrons trapped in external fields
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Infinite-cutoff renormalization of the chiral nucleon-nucleon interaction at N3LO
• Bremsstrahlung in alpha-Decay Reexamined

Cited by in corpus (32)

• Accurate nuclear radii and binding energies from a chiral interaction
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Confronting gravitational-wave observations with modern nuclear physics constraints
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Chiral EFT based nuclear forces: Achievements and challenges
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Historical perspective and future prospects for nuclear interactions
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Scale dependence of deuteron electrodisintegration
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• The ${}^1$S${}_0$ pairing gap in neutron matter
• Nuclear Reactions from Lattice QCD
• Optical Potentials Derived from Nucleon-Nucleon Chiral Potentials at N4LO
• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Dispersion relations applied to double-folding potentials from chiral EFT
• Spectroscopy of ${}^{50}$Sc and ab initio calculations of $B(M3)$ strengths
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Renormalization of nuclear chiral effective field theory with non-perturbative leading order interactions
• Operator evolution from the similarity renormalization group and the Magnus expansion
• Superfluid neutron matter with a twist
• Estimates and power counting in uniform matter with softened interactions
• Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations
• Local two- and three-nucleon chiral interactions
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• Nucleon-nucleon potentials in phase-space representation