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Neutron stars

Jérôme Chenevez, DTU Space NS in different astrophysical contexts Energy source o Wind Nebulae (PWNe) Rotation o Central Compact Objects (CCOs) Thermal (neutrino cooling) o o Anomalous (AXPs) o Soft-Gamma Repeaters (SGRs) Magnetic field decay o X-ray Binaries (XrBs) Crab as a calibration source

Crab in JEM-X…

…despite still on-going activity The and nebula D≈ 6500 ly

33 ms pulsar

≈11 ly A remnant? (PWN)

A recent SN remnant

2,5’ ↔ ≈5 l.y. Rotation-powered pulsar at 30 Hz Plerion (no radio shell) 38 5 Lbol = 1.8×10 erg/s ≈10 L The basic configuration of a PWN (plerion)

Pulsar

Pulsar wind

Terminal shock

Pulsar wind nebula Interface with the Interstellar Medium

• Most (90%) of the spin-down power of a pulsar is released via a relativistic wind.

● The magnetized pulsar wind leaves the pulsar with almost the speed of c.

● A termination shock forms at the radius where the wind ram-pressure balances the pressure of the environments, and over there the particles are randomized and probably accelerated and begin to emit synchrotron photons (radio to gamma).

● The PWN is a magnetized particle bubble surrounded by the ISM. ( Rees & Gunn 1974) A stellar dynamo

N

S

12 15 B~10 (– 10 ) Gauss BEarth≈0,5 Gauss Emission models

Pair-particles produced from high E γ, accelerated in B-field eventually radiate synchrotron Rotation-powered pulsar Origin of the (radio) emission

Moving B: - = × ⇒𝝏𝝏𝑩𝑩e- current 𝝏𝝏𝒕𝒕 𝛁𝛁 𝑬𝑬

EM radiation Emission mechanism

Power-law spectrum, X-ray photon index ≈ 2 (PWNe), ±1 (pulsars) (Measurable quantities)

-

(Dipole limit)

(Table 9.1) -

. 2 B = 3.2 ×1019√( ) ⇒ Magnetic dipole 𝑑𝑑𝑑𝑑 𝐵𝐵 ⇒ 𝑃𝑃 𝑃𝑃 𝑃𝑃̇ ≡ ∝ diagram 𝑑𝑑𝑑𝑑 𝑃𝑃 𝑃𝑃 − 𝑃𝑃̇ pulsar diagram

𝑷𝑷 − 𝑷𝑷̇ MAGNETARS Only 29 known (≈1%) so far Anomalous X-ray Pulsars Soft Gamma-ray Repeaters

14 High Pdot ⇔ high B >10 G Mantle – crust interactions

• Risetime ~seconds

Effect of mantle superfluid vortices in the crust Mantle – crust interactions … and 2012 Anti-!

Archibald R., Kaspi V. et al. 2013

Differential rotation due to strong magnetic field?

MAGNETARS / Soft Gamma-ray Repeaters MAGNETARS / Soft Gamma-ray Repeaters

Magnetar bursts (∼1014 gauss)

Magnetic reconnection Giant flare E ~1045 ergs MAGNETARS / Soft Gamma-ray Repeaters

Sun coronal loop (≈5 gauss)

Magnetic reconnection Giant flare E ~1045 ergs (Expected) observable phenomena

No light bending β=0.25 Light bending as around black holes NICER Interior Composition ExploreR

Launch June 2017

ISS Probing ultra-dense matter through soft X-ray timing spectroscopy

Objective Measurements Structure — Uncover the nature of Neutron star radii to ±5%, matter in the interiors of neutron stars masses, & Cooling timescales Dynamics — Reveal physics of dynamic Stability of pulsars as clocks. phenomena associated with neutron star Properties of outbursts, oscillations, variability on many timescales and precession Energetics — Determine how energy is Intrinsic radiation patterns, spectra, extracted from neutron stars. and luminosities

31 Characterizing dynamic behavior due to spin, accretion, and starquakes

Objective Measurements Structure — Uncover the nature of matter Neutron star radii to ±5%, Clock stability, starquakes, in the interiors of neutron stars masses, & Cooling timescales thermonuclear explosions, Dynamics — Reveal physics of dynamic Stability of pulsars as clocks. and bulk quantum phenomena associated with neutron star Properties of outbursts, oscillations, phenomena (cooling) variability on many timescales and precession Energetics — Determine how energy is Intrinsic radiation patterns, spectra, extracted from neutron stars. and luminosities

32 Establishing sites & mechanisms of radiation in neutron star magnetospheres

Objective Measurements The most powerful Structure — Uncover nature of matter in Neutron star radii to ±5%, magnetospheres known the interiors of neutron stars masses, & Cooling timescales Dynamics — Reveal physics of dynamic Stability of pulsars as clocks. anywhere, only now phenomena associated with neutron star Properties of outbursts, oscillations, beginning to be variability on many timescales and precession understood… Energetics — Determine how energy is Intrinsic radiation patterns, spectra, extracted from neutron stars and luminosities 33 Riley et al. 2019 Miller et al. 2019

Lightcurve modeling constrains the compactness (M/R) and viewing geometry of a through the depth of modulation and harmonic content of emission from rotating hot-spots, thanks to gravitational light-bending

34 The end! THE END ?

Suggested literature: “Dragon’s egg” by Robert Forward Article references (III) 1. Instrumentation (JEM-X): Lund et al. 2003, A&A 411, 231

2. Supernovae (CasA ν*): Grefenstette et al. 2014, Nature 506, 339

3. Cataclysmic Variables: Mukai 2003, Adv. Space Res. 32, 2067