Neutron Stars - Physics, Properties and Dynamics
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Neutron stars, being the objects of close attention and research interest of physicists and astronomers, are the sources of strictly periodic pulsed radiation. Every neutron star has its own unique characteristics; in particular, a frequency of pulses, radiation spectrum and intensity, glitches and pauses, and all of this together raises many questions: - what is the mechanism of such a behavior; - what is the origine of such differences; - what is the physics of these phenomena in general and what is the dynamics of the processes in individual manifestations; - what changes can emerge in the properties of matter under the extreme conditions that are specific to neutron stars, etc. The investigation of some of these issues is one of the objectives of this book, which has the form of a collection of studies on the physics of neutron stars. Among them, some researches are devoted to the influence of external fields on the properties of neutron stars, and reactions and transformation of the matter in its envelopes and interior layers. NEUTRON STARS PHYSICS, PROPERTIES AND DYNAMICS......Page 2 NEUTRON STARS PHYSICS, PROPERTIES AND DYNAMICS......Page 4 CONTENTS......Page 6 INTRODUCTION......Page 8 1.Introduction......Page 12 2.TheClassicThomas-FermiModel......Page 14 3.TheGravitationalNon-RelativisticThomas-FermiModel......Page 17 3.1.ApplicationtoNeutronStarsandWhiteDwarfs......Page 19 4.GravitationalSpecialRelativisticThomas-FermiModel......Page 21 4.1.ApplicationtoWhiteDwarfsandNeutronStars......Page 22 5.TheTOVEquilibriumEquationsofNeutronStars......Page 23 6.TheRelativisticThomas-FermiAtom......Page 25 7.NuclearMatterCoresofStellarDimensions......Page 27 7.1.EstimatesofGravitationalEffectsinaNewtonianApproximation......Page 30 7.2.CompressedNuclearMatterCoresofStellarDimensions......Page 31 7.2.1.Compressionalenergyofnuclearmattercoresofstellardimensions......Page 37 8.Self-gravitatingDegenerateGasofNeutrons,ProtonsandElectrons......Page 38 8.1.TheImpossibilityofaSolutionwithLocalChargeNeutrality......Page 39 8.2.TheSolutionwithGlobalChargeNeutrality......Page 41 8.3.NumericalIntegrationoftheEquilibriumEquations......Page 42 9.NewtonianLimit......Page 44 10.IntroducingtheStrongInteractions......Page 46 10.1.TheThermodynamicLawsandtheFieldEquationsintheSphericallySymmetricCase......Page 50 10.2.ConstancyoftheKleinPotentials......Page 52 11.1.1.CoreEquations......Page 55 11.2.Core-crustTransitionLayerEquations......Page 57 11.3.CrustEquations......Page 60 12.NeutronStarStructure......Page 61 13.ObservationalConstraintsontheMass-RadiusRelation......Page 65 14.ComparisonwiththeTraditionalTOVTreatment......Page 66 References......Page 69 1.Introduction......Page 74 2.1.TheInteriorHartleSolution......Page 78 2.2.TheExteriorHartleSolution......Page 80 3.1.SecularAxisymmetricInstability......Page 81 3.2.KeplerianMass-SheddingInstabilityandOrbitalAngularVelocityofTestParticles......Page 82 3.3.GravitationalBindingEnergy......Page 83 4.1.SecularInstabilityBoundary......Page 84 4.2.1.Maximummassandrotationfrequency......Page 87 5.NeutronStarMass-radiusRelation......Page 89 6.MomentofInertia......Page 90 7.DeformationoftheNeutronStar......Page 91 7.1.Eccentricity......Page 92 8.ObservationalConstraints......Page 95 ConcludingRemarks......Page 99 References......Page 100 Abstract......Page 104 1.Introduction......Page 105 2.TheGravitationalFieldofCompactStars......Page 107 2.1.TheErnstRepresentation......Page 108 2.2.PhysicalConditions......Page 109 2.3.ProlateSpheroidalCoordinates......Page 110 3.StaticQuadrupolarMetrics......Page 111 4.StationaryQuadrupolarMetrics......Page 114 5.InteriorQuadrupolarMetrics......Page 118 Acknowledgments......Page 126 References......Page 127 1.Introduction......Page 130 1.1.GeneralCharacteristicsoftheNeutronStarEnvelopes......Page 131 2.PeculiaritiesoftheElectronCaptureReactions......Page 134 3.HighHarmonicGammas,TunnelEffects,andFreeNeutronMatter......Page 137 3.1.GenerationofHigherHarmonicsintheNonlinearMedia......Page 138 3.2.InteractionsoftheCrystalPhononsandtheNuclearPhonons......Page 141 3.3.TunnelingEffects......Page 142 3.4.FormationofFreeNeutronMatterintheNeutronStarEnvelopes......Page 144 4.Conclusion......Page 145 References......Page 146 1.Introduction......Page 150 2.Three-BodyProblemwithSimplifiedTwo-BodyInteractions......Page 153 2.1.Low-MassParticleScatteringontheSubsystemofTwoHeavyParticles......Page 157 2.2.ResonancesintheSimpleModel......Page 158 2.3.CorrectionstoExactAnalyticalSolutions......Page 159 3.1.NeutronResonancesintheThree-BodySystems......Page 161 3.2.NeutronResonancesintheFour-BodySystems......Page 163 3.3.TheNeutronResonancesoftheIronGroupNuclei......Page 166 4.NeutronMatterandResonancesintheNeutronStarEnvelopes......Page 169 4.1.DeterminationoftheEffectiveResonantEnergy......Page 171 5.NeutronExperimentsforDetectionoftheCrystallineStructureOscillations......Page 175 5.1.CalculationsoftheNewNeutronResonances......Page 176 Conclusion......Page 178 References......Page 179 Introduction......Page 184 1.ClusterPolarization......Page 187 1.1.ModelFormulation......Page 188 1.2.1.Two-ClusterSubsystems......Page 192 1.2.2.BoundState......Page 193 1.2.3.7Beand7LiGroundStateProperties......Page 194 1.2.4.ComparingPolarizationMethods......Page 196 1.2.5.Three-ClusterGeometry......Page 197 1.2.6.ResonanceStates......Page 199 1.2.7.TheReaction6Li......Page 201 1.2.8.CaptureReactions......Page 202 1.2.9.Correlations......Page 204 1.2.10.ExperimentandTheory......Page 208 1.3.Conclusion......Page 211 2.1.1.HistoricalDevelopments......Page 212 2.1.2.Eigen-ValueProblemofH(q)......Page 214 2.1.3.ExtendedCompletenessRelation......Page 216 2.2.1/2+StateJustAbovethe8Be+nThresholdin9Be......Page 218 2.2.1.a+a+nModel......Page 219 2.2.2.Photo-DisintegrationCrossSectionatEnergiesJustAbovethe8Be+nThreshold......Page 221 References......Page 225 1.Introduction......Page 238 2.KaonicAtomsandKaonicNuclei......Page 240 3.ExperimentalSearchoftheStrangeDibaryonicandTribaryonicClusters......Page 242 3.1.¯K-NuclearClusterswithTwoBaryons......Page 243 3.2.¯K-NuclearClusterswithThreeBaryons......Page 245 4.¯KNandNNInteractions......Page 247 5.1.TheVariationalMethod......Page 250 5.2.MethodofFaddeevEquations......Page 253 6.MethodofHypersphericalHarmonics......Page 256 7.ResultsandDiscussion......Page 259 7.1._KNNNClusters......Page 265 Conclusion......Page 270 References......Page 271 ABOUT THE EDITORS......Page 284 INDEX......Page 286
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