Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions

Abstract

We present the first ab initio lattice calculations of spin and density correlations in hot neutron matter using high-fidelity interactions at next-to-next-to-next-to-leading order (N3LO) in chiral effective field theory. These correlations have a large impact on neutrino heating and shock revival in core-collapse supernovae and are encapsulated in functions called structure factors. Unfortunately, calculations of structure factors using high-fidelity chiral interactions were well out of reach using existing computational methods. In this work, we solve the problem using a computational approach called the rank-one operator (RO) method. The RO method is a general technique with broad applications to simulations of fermionic many-body systems. It solves the problem of exponential scaling of computational effort when using perturbation theory for higher-body operators and higher-order corrections. Using the RO method, we compute the vector and axial static structure factors for hot neutron matter as a function of temperature and density. The ab initio lattice results are in good agreement with virial expansion calculations at low densities but are more reliable at higher densities. Random phase approximation codes used to estimate neutrino opacity in core-collapse supernovae simulations can now be calibrated with ab initio lattice calculations.

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Cited by in corpus (10)

• Ab initio study of the beryllium isotopes ${}^7$Be to ${}^{12}$Be
• Lattice Effective Field Theory Simulations of Nuclei
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Ab initio study of the radii of oxygen isotopes
• Investigating nuclear beta decay using lattice quantum Monte Carlo approach
• Machine Learning Unveils the Power Law of Finite-Volume Energy Shifts
• Searching for the Tetraneutron Resonance on the Lattice
• Quantum State Preparation with Resolution Refinement