Resonant Fermi gases with a large effective range
arXiv:nucl-th/0506042 · doi:10.1103/PhysRevLett.95.160401
Abstract
We calculate the equation of state of a Fermi gas with resonant interactions when the effective range is appreciable. Using an effective field theory for large scattering length and large effective range, we show how calculations in this regime become tractable. Our results are model-independent, and as an application, we study the neutron matter equation of state at low densities of astrophysical interest 0.002 fm^{-3} < rho < 0.02 fm^{-3}, for which the interparticle separation is comparable to the effective range. We compare our simple results with those of conventional many-body calculations.
4 pages, 3 figures; NORDITA-2005-39, to appear in Phys. Rev. Lett
References in corpus (2)
Cited by in corpus (125)
- Modern Theory of Nuclear Forces
- Skyrme Interaction and Nuclear Matter Constraints
- Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
- Chiral three-nucleon forces and neutron matter
- 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
- Relativistic effective interaction for nuclei, giant resonances, and neutron stars
- Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
- Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
- Building relativistic mean field models for finite nuclei and neutron stars
- The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
- Neutron matter from chiral effective field theory interactions
- Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
- Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
- Low-density neutron matter
- Strongly paired fermions: Cold atoms and neutron matter
- Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
- Nucleon Effective Masses in Neutron-Rich Matter
- Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
- Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
- Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
- Incompressibility of neutron-rich matter
- Constraining the High-Density Behavior of Nuclear Symmetry Energy with the Tidal Polarizability of Neutron Stars
- Neutron Matter from Low to High Density
- Phase diagram of a cold polarized Fermi gas
- Comparing and contrasting nuclei and cold atomic gases
- Do we understand the incompressibility of neutron-rich matter?
- Impact of the symmetry energy on the outer crust of non-accreting neutron stars
- The fission barriers in Actinides and superheavy nuclei in covariant density functional theory
- Nuclear chiral dynamics and thermodynamics
- The Virial Equation of State of Low-Density Neutron Matter
- Properties of the nuclear medium
- New applications of renormalization group methods in nuclear physics
- Sensitivity of the Moment of Inertia of Neutron Stars to the Equation of State of Neutron-Rich Matter
- Chiral dynamics of few- and many-nucleon systems
- Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
- Neutron skins and neutron stars
- Realization of a Resonant Fermi Gas with a Large Effective Range
- Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
- Realization of a Strongly Interacting Fermi Gas of Dipolar Atoms
- Equation of state of low--density neutron matter and the pairing gap
- Effective-Range Dependence of Resonantly Interacting Fermions
- Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
- Validating relativistic models of nuclear structure against theoretical, experimental, and observational constraints
- Relativistic models of the neutron-star matter equation of state
- Resummation of fermionic in-medium ladder diagrams to all orders
- Constraints on the symmetry energy from observational probes of the neutron star crust
- The Neutrino Response of Low-Density Neutron Matter from the Virial Expansion
- Superfluid Fermi atomic gas as a quantum simulator for the study of neutron-star equation of state
- Static Response of Neutron Matter
- Neutron matter at finite temperature
- Finite-temperature equation of state of polarized fermions at unitarity
- The isospin quartic term in the kinetic energy of neutron-rich nucleonic matter
- Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
- Probing the high-density behavior of symmetry energy with gravitational waves
- Resummation of in-medium ladder diagrams: s-wave effective range and p-wave interaction
- Optical Control of the Scattering Length and Effective Range for Magnetically Tunable Feshbach Resonances in Ultracold Gases
- Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
- Neutron matter at low density and the unitary limit
- Ab initio and phenomenological studies of the static response of neutron matter
- Density functional theory for fermions close to the unitary regime
- The neutron polaron as a constraint on nuclear density functionals
- From resonantly interacting fermions with effective range to neutron matter
- Non-perturbative Extraction of the Effective Mass in Neutron Matter
- Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
- Quantum rearrangement and self-consistent BCS-BEC crossover thermodynamics
- Narrow resonances and short-range interactions
- Ground state energy of unitary fermion gas with the Thomson Problem approach
- To which densities is spin-polarized neutron matter a weakly interacting Fermi gas?
- Three-body resonances in pionless effective field theory
- Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
- Proton-skins in momentum space and neutron-skins in coordinate space in heavy nuclei
- Effective field theory of interactions on the lattice
- Microscopic Study of Superfluidity in Dilute Neutron Matter
- From neutron skins and neutron matter to the neutron star crust
- Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
- Phase separation in low-density neutron matter
- The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity
- Low-momentum ring diagrams of neutron matter at and near the unitary limit
- Quantum Monte Carlo study of dilute neutron matter at finite temperatures
- Unitarity potentials and neutron matter at the unitary limit
- Isospin dependence of nucleon effective masses in neutron-rich matter
- Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
- Theory of strongly paired fermions with arbitrary short-range interactions
- Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
- Role of the effective range in the density-induced BEC-BCS crossover
- Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
- The virial equation of state for unitary fermion thermodynamics with non-Gaussian correlations
- Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation
- Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
- Probing Energy-Dependent Feshbach Resonances by Optical Control
- Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
- From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems
- Satisfying the compressibility sum rule in neutron matter
- -dimensions Dirac fermions BEC-BCS cross-over thermodynamics
- Nuclear breathing mode in neutron-rich Nickel isotopes: sensitivity to the symmetry energy and the role of the continuum
- Spin-polarized low-density neutron matter
- Renormalization group and Fermi liquid theory for many-nucleon systems
- Non-Universal and Universal Aspects of The Large Scattering Length Limit
- Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
- A model study on a pair of trapped particles interacting with an arbitrary effective range
- Intrinsic Correlations Among Characteristics of Neutron-rich Matter Imposed by the Unbound Nature of Pure Neutron Matter
- Bose-Einstein condensation temperature of a gas of weakly dissociated diatomic molecules
- Transport in p-wave interacting Fermi gases
- Can the nuclear symmetry potential at supra-saturation densities be negative?
- Dissipationless BCS Dynamics with Large Branch Imbalance
- Bayesian inference of neutron star crust properties using an ab initio-benchmarked meta-model
- Toward large-scale Hybrid Monte Carlo simulations of the Hubbard model on graphics processing units
- Pure Neutron Matter Constraints and Nuclear Symmetry Energy
- Simulating pasta phases by molecular dynamics and cold atoms --- Formation in supernovae and superfluid neutrons in neutron stars
- Feshbach Resonances and Limiting Thermodynamics of Strongly Correlated Nucleons
- Unitary limit and linear scaling of neutrons in harmonic trap with tuned CD-Bonn and square-well interactions
- Constrained extrapolation problem and order-dependent mappings
- Two-Body Contact Dynamics in a Bose Gas near a Fano-Feshbach Resonance
- Neutrino-Neutron Scattering Opacities in Supernova Matter
- Superfluid properties of dilute neutron matter
- Radio frequency spectrum of fermions near a narrow Feshbach resonance
- Skyrme-based extrapolation for the static response of neutron matter
- Neutron matter at the interface(s): static response and effective mass
- Modern topics in theoretical nuclear physics
- Cold atoms beyond atomic physics
- Nuclei and chiral dynamics
- A study of Feshbach resonances and the unitary limit in a model of strongly correlated nucleons
- Nuclear effective field theory on the lattice
- Local energy density functional for superfluid Fermi gases from effective field theory