Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
arxiv(2023)
摘要
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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