Neutron Stars 1
Equation of State and Structure
By:Â P. Haensel, A.Y. Potekhin, D.G. Yakovlev
Hardcover | 3 November 2006
At a Glance
644 Pages
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List of Figures | p. xiii |
List of Tables | p. xix |
Introduction | p. xxi |
Overview | p. 1 |
Neutron stars | p. 1 |
History: from prediction to discovery | p. 2 |
Internal structure and processes - Theoretical outlook | p. 11 |
Structure | p. 11 |
The main mystery: The equation of state in neutron star cores | p. 14 |
Neutron star models | p. 16 |
Superfluidity | p. 17 |
Neutrino processes | p. 19 |
Thermodynamics and kinetics | p. 21 |
Cooling of neutron stars | p. 25 |
Magnetic fields | p. 26 |
Seismology | p. 28 |
Observations versus theory | p. 28 |
Telescopes | p. 28 |
Birth in supernova explosions. Supernova connection | p. 31 |
Evolutionary scenarios: Three driving forces | p. 34 |
Pulsars | p. 34 |
Isolated neutron stars | p. 41 |
Neutron stars in binary systems - X-ray binaries | p. 44 |
Neutron stars in the Galaxy | p. 49 |
Neutron stars as "superstars" in physics and astrophysics | p. 50 |
About the rest of this book | p. 51 |
Equilibrium Plasma Properties. Outer Envelopes | p. 53 |
Plasma parameters | p. 55 |
Overall parameters | p. 55 |
Electrons | p. 56 |
Ions | p. 60 |
Free energy and thermodynamic quantities | p. 63 |
Fully ionized dense plasma. The basic decomposition | p. 65 |
Fully ionized plasma without electron correlations | p. 66 |
Ideal electron gas. Fermi-Dirac integrals | p. 67 |
Coulomb liquid of ions | p. 72 |
Coulomb crystal | p. 77 |
Melting | p. 88 |
The pressure of degenerate electrons with electrostatic corrections | p. 90 |
Intermediate-density regime. Electron response | p. 91 |
Interpolation | p. 91 |
Thomas-Fermi-like theories | p. 92 |
Electron exchange and correlation effects | p. 93 |
Electron polarization in ion liquid | p. 96 |
Electron polarization in ion solid | p. 99 |
The heat capacity | p. 103 |
Multi-ionic mixtures | p. 106 |
Low densities. Partial ionization | p. 107 |
Ionization equilibria in the "chemical picture" | p. 107 |
An example: Partially ionized hydrogen plasma | p. 111 |
Structure and EOS of Neutron Star Crusts | p. 115 |
The formation of the crust in a newly born neutron star | p. 116 |
Ground state of the outer crust | p. 118 |
Ground state of the inner crust at p [GreaterTilde] 10[superscript 14] g cm[superscript -3] | p. 125 |
Hartree-Fock calculations | p. 126 |
Extended Thomas-Fermi (ETF) calculations | p. 130 |
Compressible liquid drop model (CLDM) | p. 133 |
Ground state of the bottom layers of the crust | p. 140 |
The bulk approximation | p. 140 |
Unusual nuclear shapes | p. 142 |
Quantum corrections to the CLDM energy | p. 147 |
Reaching the crust-core interface from the core side | p. 148 |
The equation of state of the neutron star crust | p. 150 |
Elastic properties of neutron star crust | p. 153 |
From bcc lattice to isotropic solid | p. 156 |
Exotic nuclei | p. 159 |
Deviations from an idealized ground state model | p. 161 |
Crust formation in a newly-born neutron star | p. 162 |
Accreted crust | p. 164 |
Envelopes with Strong Magnetic Fields | p. 167 |
Fully ionized plasmas | p. 168 |
Free electron in a magnetic field | p. 168 |
Thermodynamic functions of the ideal electron gas | p. 170 |
Magnetic oscillations | p. 175 |
The effects of the magnetic field on plasma ions | p. 176 |
Weakly non-ideal Coulomb plasma | p. 178 |
Strongly coupled Coulomb plasma | p. 180 |
Bound species in strong magnetic fields | p. 184 |
Atoms | p. 184 |
Molecules and chains | p. 188 |
Effects of motion | p. 190 |
Magnetic condensation | p. 192 |
Models of strongly magnetized outer envelopes of neutron stars | p. 193 |
Strongly magnetized iron envelopes | p. 194 |
Strongly magnetized hydrogen atmosphere | p. 196 |
Neutron Star Cores: Nucleons and Hyperons | p. 207 |
Introduction | p. 207 |
Before the discovery of pulsars: 1932-1967 | p. 208 |
After the discovery of pulsars: 1968-2005 | p. 213 |
Nucleons | p. 213 |
Nucleons and hyperons | p. 215 |
The properties of nuclear matter | p. 217 |
The Hamiltonian | p. 221 |
Phenomenological nucleon-nucleon interaction | p. 221 |
Three-body interaction | p. 223 |
Relativistic corrections and three-body interaction | p. 225 |
Meson-exchange nucleon-nucleon interaction | p. 226 |
Three-and more-nucleon interactions | p. 230 |
The hyperon interactions | p. 231 |
Solving the many-body problem - an overview | p. 233 |
Energy of nucleon matter | p. 235 |
Brueckner-Bethe-Goldstone (BEG) theory | p. 235 |
Green's Function Theory | p. 240 |
Variational method | p. 243 |
Relativistic mean-field model | p. 246 |
Effective energy density functionals | p. 253 |
Energy of hyperon-nucleon matter | p. 254 |
Brueckner-Bethe-Goldstone theory | p. 254 |
Relativistic mean-field model | p. 256 |
The equation of state of the outer core | p. 257 |
Calculating the equation of state | p. 257 |
The nuclear symmetry energy and the proton fraction | p. 259 |
Equation of state and composition | p. 260 |
Inner core: minimal model - nucleons and leptons | p. 263 |
Equation of state of the [Mu] matter | p. 263 |
Proton fraction and direct Urca threshold | p. 265 |
Adiabatic index | p. 266 |
Hyperons in the inner core | p. 267 |
Hyperonic composition | p. 268 |
Hyperon softening of equation of state | p. 273 |
Superluminal and ultrabaric equations of state | p. 275 |
Effect of baryon superfluidity on equation of state | p. 279 |
Effect of strong magnetic field on equation of state | p. 279 |
Neutron Star Structure | p. 281 |
Equations of hydrostatic equilibrium | p. 281 |
Baryon number, mass and chemical potential. Binding energy of neutron stars | p. 284 |
Proper mass and gravitational energy | p. 287 |
Constructing neutron star models | p. 287 |
Introductory remarks | p. 287 |
Equation of state | p. 289 |
Masses and stability of neutron stars | p. 290 |
Stellar oscillations and stability | p. 290 |
Stability criteria based on the mass-radius diagram | p. 293 |
Neutron stars and white dwarfs | p. 294 |
A variety of neutron star models | p. 296 |
Maximum masses of neutron stars | p. 297 |
The nature of the maximum mass of neutron stars | p. 298 |
The upper bound on the maximum mass | p. 301 |
Low-mass neutron stars and the minimum mass | p. 302 |
Radii and surface redshifts | p. 303 |
Circumferential radii | p. 304 |
Radii of low-mass neutron stars | p. 306 |
Gravitational redshifts | p. 308 |
The upper bound on gravitational redshift and the lower bound on neutron star radius | p. 308 |
The upper bound on surface gravity | p. 309 |
Apparent radii | p. 311 |
Binding energy | p. 313 |
Approximate formulae | p. 315 |
Neutron star models with M [TildeTilde] M[subscript min] | p. 317 |
Basic internal structure of neutron stars | p. 318 |
Universal structure of the outer envelope | p. 319 |
The structure of magnetic envelopes | p. 322 |
Moment of inertia for slow rigid rotation | p. 323 |
Dragging of local inertial reference frames and moment of inertia | p. 323 |
Moment of inertia versus M | p. 324 |
Crustal moment of inertia | p. 326 |
Moment of inertia versus M and R | p. 326 |
Approximate formula for I[subscript max] | p. 328 |
Elastic shear strain, non-axial deformations, and gravitational radiation | p. 328 |
Elastic strain and neutron stars with M [TildeTilde] M[subscript min] | p. 330 |
Non-axial deformation of solitary pulsars and gravitational waves | p. 330 |
Rotating neutron stars | p. 333 |
Space-time metric and the equations of stationary motion | p. 334 |
Stationary configurations of rotating neutron stars | p. 335 |
Spinning low-mass neutron stars | p. 341 |
Maximum mass and minimum rotation period | p. 343 |
Rapid differential rotation and maximum mass | p. 343 |
Approximate formulae for P[subscript min] | p. 345 |
The causal upper bound on the mass of spinning neutron stars | p. 345 |
The lower bound on rotation period | p. 346 |
From the upper bound on z[subscript surf] to the lower bound on the rigid-rotation period | p. 346 |
Rapid rotation and gravitational-radiation instabilities | p. 347 |
Neutron Stars with Exotic Cores | p. 351 |
Introduction | p. 351 |
Exotic phases - an overview | p. 351 |
Meson condensates | p. 352 |
Deconfinement of quarks | p. 352 |
Mixed-phase state | p. 353 |
Crystallization | p. 353 |
Exotic self-bound states of superdense matter | p. 354 |
Pion condensation | p. 354 |
Kaon condensation | p. 361 |
Quark matter | p. 364 |
Mixed-phase state | p. 373 |
Solid cores of neutron stars | p. 378 |
Physical origins and models | p. 378 |
Elastic shear moduli | p. 381 |
Nucleation of exotic high-density phase | p. 381 |
Pion condensation | p. 385 |
Kaon condensation | p. 386 |
Quark deconfinement | p. 388 |
The nucleation of a mixed normal-exotic phase | p. 390 |
Phase transitions and neutron star structure | p. 391 |
Linear response to a phase transition in the neutron star center | p. 391 |
Moderate softening without any density jump | p. 393 |
Strong softening without any density jump: The third family of compact stars | p. 394 |
Moderate softening with density jump | p. 395 |
Strong softening with density jump: The third family of compact stars | p. 396 |
The proof of the inequality M*(A)< M(A) | p. 397 |
Nonequilibrium first-order phase transition and its consequences | p. 398 |
Large-amplitude corequake and collapse | p. 399 |
Changes in stellar parameters due to a corequake | p. 401 |
Estimates of [Delta]R, [Delta]I, and [Delta]E in corequakes | p. 402 |
Mixed-phase core and neutron star corequakes | p. 403 |
Strange Matter and Strange Stars | p. 407 |
Introduction | p. 407 |
Units | p. 407 |
The strange matter hypothesis | p. 408 |
Strange matter - history | p. 409 |
The simplest "toy" MIT Bag Model | p. 411 |
The Bag Model with massive strange quarks and QCD interactions | p. 413 |
Other models of strange quark matter | p. 415 |
The equation of state of strange matter | p. 416 |
The linear approximation of the EOS | p. 416 |
The adiabatic index of strange matter | p. 417 |
The effect of quark superconductivity on the EOS | p. 417 |
Even stranger matter | p. 419 |
Strange stars - history | p. 421 |
Bare strange stars | p. 423 |
The nonexistence of quark stars with heavy quarks | p. 426 |
Scaling properties | p. 428 |
The surface of a bare strange star with electrons | p. 430 |
The surface of a bare strange star without electrons | p. 432 |
Strange stars with the crust | p. 433 |
The minimum radius of strange stars with the crust | p. 434 |
Apparent radii of strange stars | p. 435 |
The surface gravity of strange stars | p. 437 |
The conversion of neutron stars into strange stars | p. 438 |
Even stranger stars of abnormal matter and Q-stars | p. 439 |
Rotating strange quark stars | p. 440 |
Uniformly rotating strange stars | p. 441 |
The crust of rotating strange stars | p. 446 |
Maximum mass and maximum spin frequency of strange stars | p. 450 |
Instabilities in rotating strange stars | p. 451 |
Theory Versus Observations | p. 455 |
Masses of neutron stars in binary systems | p. 456 |
X-ray binaries | p. 456 |
Double neutron star binaries | p. 467 |
Pulsar - white dwarf binaries | p. 481 |
Pulsars in binaries with non-degenerate stars | p. 487 |
Summary of neutron star mass measurements | p. 488 |
From November 2005 to August 2006 and beyond | p. 489 |
Gravitational surface redshift | p. 490 |
Neutron star radii | p. 491 |
Thermal emission of isolated neutron stars | p. 492 |
X-ray emission from accreting neutron stars in binaries | p. 496 |
Final remarks on radius measurements | p. 498 |
Millisecond and submillisecond pulsars | p. 499 |
The Crab Nebula and the moment of inertia of the Crab pulsar | p. 501 |
The energy balance of the Crab pulsar and its nebula | p. 502 |
Observational evaluations of the Crab Nebula parameters | p. 503 |
Bound on the moment of inertia | p. 504 |
Neutrinos from Supernova 1987A and binding energy of neutron stars | p. 506 |
Pulsar glitches and crustal moment of inertia | p. 508 |
Pros and cons of the existence of strange stars | p. 511 |
Con: Macroglitches of radio pulsars | p. 511 |
Con: Strangelets in galaxies | p. 513 |
Pro: Too small radii for some neutron stars | p. 514 |
Pro: Submillisecond pulsars | p. 515 |
Appendices | p. 517 |
Tables of EOSs in Neutron Star Crust | p. 517 |
Analytical Models of Nuclear Density Profiles | p. 521 |
Steplike profile model | p. 521 |
Smooth Composition Model | p. 522 |
Spherical nuclei in the inner crust | p. 523 |
Spherical nuclei in the outer crust | p. 524 |
Exotic nuclei | p. 524 |
Analytical Representations of Unified EOSs | p. 527 |
Representation convenient for non-rotating stars | p. 528 |
Representation convenient for rotating stars | p. 530 |
Adiabatic index | p. 532 |
Semi-Analytical EOSs in Neutron Star Cores | p. 533 |
Scaling of Stellar Models for Linear EOSs | p. 537 |
The causal limit EOS with a = 1 | p. 537 |
The case of a< 1 | p. 541 |
Bibliography | p. 543 |
List of Symbols | p. 597 |
List of Abbreviations | p. 605 |
Subject Index | p. 607 |
Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780387335438
ISBN-10: 0387335439
Series: Astrophysics and Space Science Library
Published: 3rd November 2006
Format: Hardcover
Language: English
Number of Pages: 644
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6 x 3.51
Weight (kg): 1.07
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