Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids

Abstract

Even though the "free" neutrons in the inner crust of a neutron star are superfluid, they are still strongly coupled to nuclei due to non-dissipative entrainment effects. These effects have been systematically studied in all regions of the inner crust in the framework of the band theory of solids. Using concepts from solid-state physics, it is shown that the density of conduction neutrons, i.e. neutrons that are effectively "free", can be much smaller than the density of unbound neutrons (by an order of magnitude in some layers) due to Bragg scattering. These results suggest that a revision of the interpretation of various observable neutron-star phenomena may be necessary.

arXiv comment17 pages, 4 figures ; accepted for publication in Physical Review C

References in corpus (19)

• The equation of state for nucleon matter and neutron star structure
• Physics of Neutron Star Crusts
• Chiral three-nucleon forces and neutron matter
• Low-density neutron matter
• Resonant Fermi gases with a large effective range
• Band structure effects for dripped neutrons in neutron star crust
• Semi-classical equation of state and specific heats for neutron-star inner crust with proton shell corrections
• On the validity of the Wigner-Seitz approximation in neutron star crust
• Effective mass of free neutrons in neutron star crust
• Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: simple microscopic models
• Entrainment coefficient and effective mass for conduction neutrons in neutron star crust: II Macroscopic treatment
• Role of the boundary conditions in the Wigner-Seitz approximation applied to the neutron star inner crust
• Effect of entrainment on stress and pulsar glitches in neutron star crust
• Superfluid dynamics in neutron star crusts
• Unified description of neutron superfluidity in the neutron-star crust with analogy to anisotropic multi-band BCS superconductors
• A low energy theory for superfluid and solid matter and its application to the neutron star crust
• Axial quasi-normal modes of neutron stars: Accounting for the superfluid in the crust
• Effect of BCS pairing on entrainment in neutron superfluid current in neutron star crust
• Equation of state and effective mass of the unitary Fermi gas in a 1D periodic potential

Cited by in corpus (151)

• Unifying the observational diversity of isolated neutron stars via magneto-thermal evolution models
• Models of Pulsar Glitches
• Analytical representations of unified equations of state for neutron-star matter
• Pulsar glitches: The crust is not enough
• Crustal Entrainment and Pulsar Glitches
• Superfluidity in nuclear systems and neutron stars
• Using Neutron Star Observations to Determine Crust Thicknesses, Moments of Inertia, and Tidal Deformabilities
• Pulsar Glitches: The Crust may be Enough
• The glitch activity of neutron stars
• Superfluidity and Superconductivity in Neutron Stars
• Pinning down the superfluid and measuring masses using pulsar glitches
• Effect of superfluidity on neutron star crustal oscillations
• Mesoscopic pinning forces in neutron star crusts
• Superfluidity and Superconductivity in Neutron Stars
• Relativistic fluid dynamics: physics for many different scales
• Neutron Stars in the Laboratory
• Superfluid Density of Neutrons in the Inner Crust of Neutron Stars: New Life for Pulsar Glitch Models
• Low-energy collective excitations in the neutron star inner crust
• Searches for topological defect dark matter via non-gravitational signatures
• Possible Constraints on the Density Dependence of the Nuclear Symmetry Energy from Quasiperiodic Oscillations in Soft Gamma Repeaters
• Quiescent thermal emission from neutron stars in LMXBs
• Nuclear "pasta" structures in low-density nuclear matter and neutron star crust
• Quasi-periodic oscillations in superfluid magnetars
• Dynamics of the inner crust of neutron stars: hydrodynamics, elasticity and collective modes
• Imprints of superfluidity on magneto-elastic QPOs of SGRs
• Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
• Spectrum of shear modes in the neutron-star crust: Estimating the nuclear-physics uncertainties
• Superfluid hydrodynamics in the inner crust of neutron stars
• Stratification, superfluidity and magnetar QPOs
• Constraints on the nuclear equation of state and the neutron star structure from crustal torsional oscillations
• Possible identifications of newly observed magnetar quasi-periodic oscillations as crustal shear modes
• Giant Pulsar Glitches and the Inertia of Neutron-Star Crusts
• Observation of vortices in a dipolar supersolid
• Superfluid fraction in an interacting spatially modulated Bose-Einstein condensate
• Late time cooling of neutron star transients and the physics of the inner crust
• Probing nuclear bubble structure via neutron star asteroseismology
• Constraints on pulsar masses from the maximum observed glitch
• Astrophysical implications of double-layer torsional oscillations in a neutron star crust as a lasagna sandwich
• Entrainment in Superfluid Neutron Star Crusts: Hydrodynamic Description and Microscopic Origin
• Static Response of Neutron Matter
• Unified neutron star EOSs and neutron star structures in RMF models
• Global numerical simulations of the rise of vortex-mediated pulsar glitches in full general relativity
• Predicting the moment of inertia of pulsar J0737-3039A from Bayesian modeling of the nuclear equation of state
• Anti-glitches in the Ultraluminous Accreting Pulsar NGC 300 ULX-1 Observed with NICER
• Microscopic Vortex Velocity in the Inner Crust and Outer Core of Neutron Stars
• Return of the Big Glitcher: NICER timing and glitches of PSR J0537-6910
• Towards a metallurgy of neutron star crusts
• Vortex pinning in the superfluid core of neutron stars and the rise of pulsar glitches
• Observational constraints on neutron star crust-core coupling during glitches
• Postglitch exponential relaxation of radio pulsars and magnetars in terms of vortex creep across flux tubes
• Constraining properties of high-density matter in neutron stars with magneto-elastic oscillations
• Nuclear fourth-order symmetry energy and its effects on neutron star properties in the relativistic Hartree-Fock theory
• A superfluid perspective on neutron star dynamics
• Core and crust contributions in pulsar glitches: constraints from the slow rise of the largest glitch observed in the Crab pulsar
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• Ab initio and phenomenological studies of the static response of neutron matter
• Constraining the Origin of Magnetar Flares
• A universal formula for the relativistic correction to the mutual friction coupling time-scale in neutron stars
• Effect of strong magnetic fields on the crust-core transition and inner crust of neutron stars
• Coherent magneto-elastic oscillations in superfluid magnetars
• Efficacy of crustal superfluid neutrons in pulsar glitch models
• Dense Matter in Neutron Stars with eXTP
• Neutron star dynamics under time dependent external torques
• The dynamics of neutron star crusts: Lagrangian perturbation theory for a relativistic superfluid-elastic system
• Effects of general relativity on glitch amplitudes and pulsar mass upper bounds
• The Largest Crab Glitch and the Vortex Creep Model
• Core and crust contributions in overshooting glitches: the Vela pulsar 2016 glitch
• Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
• Insights into the physics of neutron star interiors from pulsar glitches
• The role of mass, equation of state and superfluid reservoir in large pulsar glitches
• Self-consistent band calculation of slab phase in neutron-star crust
• Neutron star mass-radius constraints using the high-frequency QPOs of GRB 200415A
• Pasta properties of the neutron star within effective relativistic mean-field model
• Turbulent, pinned superfluids in neutron stars and pulsar glitch recoveries
• Crust-core transition of a neutron star: effects of the symmetry energy and temperature under strong magnetic fields
• The effect of non-linear mutual friction on pulsar glitch sizes and rise times
• Quasi-periodic oscillations in superfluid, relativistic magnetars with nuclear pasta phases
• Numerical models for stationary superfluid neutron stars in general relativity with realistic equations of state
• A new statistical method for the structure of the inner crust of neutron stars
• Parameter estimation of a two-component neutron star model with spin wandering
• Anti-glitches within the standard scenario of pulsar glitches
• Glitch Behavior of Pulsars and Contribution from Neutron Star Crust
• Nucleus--nucleus interactions in the inner crust of neutron stars
• Pulse profiles and timing of PSR J1757$-$2421
• Rapid parameter estimation of a two-component neutron star model with spin wandering using a Kalman filter
• Hydrodynamic simulations of pulsar glitch recovery
• Pulsar glitches in a strangeon star model. II. The activity
• Magnetar QPOs and neutron star crust elasticity
• Bayesian estimate of the superfluid moments of inertia from the 2016 glitch in the Vela pulsar
• Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
• Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations
• Pinned vortex hopping in a neutron star crust
• Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. I. Low-temperature limit
• Empirical formula of crustal torsional oscillations
• Effects of the equation of state on the core-crust interface of slowly rotating neutron stars
• Long-wavelength phonons in the crystalline and pasta phases of neutron-star crusts
• Three evolutionary paths for magnetar oscillations
• The effect of superfluid hydrodynamics on pulsar glitch sizes and waiting times
• Hydrodynamical instabilities in superfluid neutron stars with background flows between the components
• Quantised vortices and mutual friction in relativistic superfluids
• Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
• Symmetry energy, unstable nuclei, and neutron star crusts
• Effects of pairing gap and band gap on superfluid density in the inner crust of neutron stars
• Proton pairing in neutron stars from chiral effective field theory
• Magnetised neutron star crust within effective relativistic mean-field model
• The proto-neutron star inner crust in the liquid phase
• Screening corrections to the Coulomb crystal elastic moduli
• Moment of inertia of neutron star crust in alternative and modified theories of gravity
• Continuous gravitational wave emission from neutron stars with pinned superfluids in the core
• Equation of state of superfluid neutron matter with low-momentum interactions
• Revisiting the post-glitch relaxation of the 2000 Vela glitch with the neutron star equation of states in the Brueckner and relativistic Brueckner theories
• Statistical estimates of the pulsar glitch activity
• Accreting neutron stars: composition of the upper layers of the inner crust
• Satisfying the compressibility sum rule in neutron matter
• Crust-core interface and bulk neutron star properties
• Synchronization in rotating supersolids
• Superfluid density in linear response theory : pulsar glitches from the inner crust of neutron stars
• Superfluid fraction in the slab phase of the inner crust of neutron stars
• Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
• Measuring the vortex-nucleus pinning force from pulsar glitch rates
• Probing neutron star interiors with pulsar glitches
• High priority targets for transient gravitational waves from glitching pulsars
• Magnetized neutron stars with superconducting cores: Effect of entrainment
• Collective Modes in the Superfluid Inner Crust of Neutron Stars
• Anomalous dispersion of shear waves in dipolar supersolids
• Gapless neutron superfluidity in the crust of the accreting neutron stars KS 1731-260 and MXB 1659-29
• Superfluid fraction in the rod phase of the inner crust of neutron stars
• Pinning down the superfluid and nuclear equation of state and measuring neutron star mass using pulsar glitches
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Properties of the Object HESS J1731-347 as a Twin Compact Star
• Superfluid density reduction and spin-imbalanced pairing in a fermionic superfluid due to dynamical boson exchange
• On the pulsar spin frequency derivatives and the glitch activity
• Pulsar rotation with superfluid entrainment
• Skyrme-based extrapolation for the static response of neutron matter
• Neutron matter at the interface(s): static response and effective mass
• Constraint on the internal structure of a neutron star from Vela pulsar glitches
• Imprints of high-density nuclear symmetry energy on the crustal fraction of neutron star moment of inertia
• The Jodrell Bank Glitch Catalogue: 106 new rotational glitches in 70 pulsars
• Landau parameters and entrainment matrix of cold stellar matter: effect of the symmetry energy and strong magnetic fields
• Estimation of neutron star mass and radius of FRB 20240114A by identification of crustal oscillations
• Emergence of the geometric contribution to the superfluid density in the inner crust of neutron stars
• Roton instabilities in the superfluid outer core of neutron stars
• How "free" are free neutrons in neutron-star crusts and what does it imply for pulsar glitches ?
• Neutron Star Dynamics under Time Dependent External Torques
• Fermi Operator Expansion for the Hartree-Fock-Bogoliubov Theory
• A multifluid perspective on multimessenger modelling
• Local Quantum Cooling for Large Fermi Systems with Pairing
• Measuring the crust-superfluid coupling time-scale for 105 UTMOST pulsars with a Kalman filter
• Impurity-controlled vortex mobility and pair-breaking in fermionic superfluid rings
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field
• On the challenges of Angular Momentum Transfer Mechanism of Pulsar Glitches