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We compute continuum and infinite volume limit extrapolations of the structure factors of neutron matter at finite temperature and density. Using a lattice formulation of leading-order pionless effective field theory, we compute the…

Nuclear Theory · Physics 2021-04-07 Andrei Alexandru , Paulo Bedaque , Evan Berkowitz , Neill C. Warrington

We compute the static density and spin structure factors in the long wavelength limit for pure neutron matter at subsaturation densities relevant to core-collapse supernovae within the Brueckner-Hartree-Fock (BHF) approach. The BHF results…

Nuclear Theory · Physics 2024-07-30 Gang Guo , Gabriel Martínez-Pinedo , Meng-Ru Wu

The unitary Fermi gas provides a unique window into both cold atom experiments and neutron star properties. There are major challenges in determining the physical properties within a neutron star, both experimentally and theoretically.…

Nuclear Theory · Physics 2023-11-21 Max Weiner

We calculate the differential scattering rate for thermal neutrinos in a hot and dilute gas of interacting neutrons using linear response theory. The dynamical structure factors for density and spin fluctuations of the strongly interacting…

Nuclear Theory · Physics 2018-08-08 Paulo F. Bedaque , Sanjay Reddy , Srimoyee Sen , Neill C. Warrington

We study the properties of a one-dimensional (1D) granular gas consisting of $N$ hard rods on a line of length $L$ (with periodic boundary conditions). The particles collide inelastically and are fluidized by a heat bath at temperature…

Statistical Mechanics · Physics 2009-11-10 Fabio Cecconi , Fabiana Diotallevi , Umberto Marini Bettolo Marconi , Andrea Puglisi

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating…

Soft Condensed Matter · Physics 2015-06-03 A. Puglisi , A. Gnoli , G. Gradenigo , A. Sarracino , D. Villamaina

We study cold dilute neutron matter on the lattice using an effective field theory. We work in the unitary limit in which the scattering length is much larger than the interparticle spacing. In this paper we focus on the equation of state…

Nuclear Theory · Physics 2009-11-11 Dean Lee , Thomas Schaefer

We numerically calculate the dynamic structure factor of the simplest two dimensional $Z_2$ lattice gauge theory. This provides an important benchmark for future experiments which will explore the dynamics of such models. As would be…

Strongly Correlated Electrons · Physics 2024-08-27 Fırat Yılmaz , Erich J Mueller

Precision measurements of antineutrino elastic scattering on hydrogen from future neutrino experiments offer a unique opportunity to access the low-energy structure of protons and neutrons. We discuss the determination of the nucleon…

High Energy Physics - Phenomenology · Physics 2024-03-05 Roberto Petti , Richard J. Hill , Oleksandr Tomalak

Superfluid dilute neutron matter and ultracold gas, close to the unitary regime, exhibit several similarities. Therefore, to a certain extent, fermionic ultracold gases may serve as emulators of dilute neutron matter, which forms the inner…

We consider the operator product expansions for unitarity fermions. We compute the dynamic structure factor S(q,w) at large frequency and wavenumber away from the one-particle peak. The overall normalization of S(q,w) is determined by Tan's…

Quantum Gases · Physics 2014-11-20 Dam T. Son , Ethan G. Thompson

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…

Core collapse supernova simulations can be sensitive to neutrino interactions near the neutrinosphere. This is the surface of last scattering. We model the neutrinosphere region as a warm unitary gas of neutrons. A unitary gas is a low…

High Energy Astrophysical Phenomena · Physics 2017-11-15 Zidu Lin , C. J. Horowitz

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An…

High Energy Physics - Lattice · Physics 2009-09-29 Matthew Wingate

We have constructed an approximate microscopic model for the neutron dynamic structure factor of solid methane in phase II. We expect our model to apply for neutron energies below 1\textit{eV} at pressures near 1 bar and temperatures below…

Atomic Physics · Physics 2008-08-21 Yunchang Shin , W. Mike Snow , Chen-yu Liu , Christopher M. Lavelle , David V. Baxter

We study the evolution of the energy gap in a unitary Fermi gas as a function of temperature. To this end we approximate the Fermi gas by the Hubbard lattice Hamiltonian and solve using the dynamical mean-field approximation. We have found…

Statistical Mechanics · Physics 2009-11-13 Nir Barnea

A quantity known as the contact plays a fundamental role in quantum many-body systems with short-range interactions. The determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has…

Quantum Gases · Physics 2020-07-29 S. Jensen , C. N. Gilbreth , Y. Alhassid

The form factors of the nucleon provide key information on nucleon properties. When confronted with precisely measured observables from experiments, they serve as benchmark quantities for lattice calculations. On the other hand lattice…

High Energy Physics - Lattice · Physics 2021-12-03 Dalibor Djukanovic

Universality of strongly interacting fermions is a topic of great interest in diverse fields. Here we investigate theoretically the universal dynamic density response of resonantly interacting ultracold Fermi atoms in the limit of either…

Quantum Gases · Physics 2013-09-03 Hui Hu , Xia-Ji Liu

Unitary Fermi gases, where the scattering length is large compared to the interparticle spacing, can have universal properties, which are independent of the details of the interparticle interactions when the range of the scattering…

Other Condensed Matter · Physics 2011-07-19 J. E. Thomas , J. Kinast , A. Turlapov
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