D. M. Sedrakian

Superdense QCD matter and compact stars

Dedication. Contributing Authors. Foreword. Acknowledgments. Part I Compact Stars: Dynamic stability of compact stars G.S. Bishovaryi-Kogan. Introduction. Early development of the theory of compact stars: 1931-1965. Criteria of hydrodynamic stability. Energetic method. Search of quark stars. Summary. Acknowledgments. References. Constraints on Superdense Matter from X-ray Binaries M. Coleman Miller. Introduction and Overview. Overview of Neutron Star X-ray Binaries. Radial Velocity Measurements. Spectral Line Profiles. Light Curve Profiles. Orbital Frequencies. Summary. Acknowledgments. References. Postglitch Relaxations of Angular Velocity of Pulsars David M. Sedrakian, M.V. Hayrapetyan. Introduction. Relaxation solutions. Discussion. References. Isolated neutron stars: An astrophysical perspective Sergei Popov and Roberto Turolla. Introduction. Whats new. Discussion. Conclusion: What do we - astrophysicists - want from QCD theorists? Acknowledgments. References. Part II Superdense QCD Matter: Clusters and Condensates in the Nuclear Matter Equation of State Gerd Ropke et al. Introduction. Ideal Mixture of Different Components. Relativistic mean field theory. Medium modifications of two-particle correlations. Medium modification of higher clusters. Comparison with the concept of excluded volume. Isospin singlet (pn) and triplet (nn, pp) pairing in nuclear matter. Alpha cluster condensation in threshold states of self-conjugate 4n nuclei. Conclusions. References. Nuclear equation of state and the structure of neutron stars A.E.L. Dieperink et al. Introduction. Equation of state and symmetry energy . How well do we know the symmetry energy? Empirical information on the SE. Constraints on EoS from neutron stars. Acknowledgments. References. Neutron Star Structure with Hyperons and Quarks M. Baldo et al. Brueckner theory. Three-body forces. EOS of nuclear matter from different TBF. Neutron star structure. Hyperons innuclear matter. Quark matter. Conclusions. References. The QCD equation of state and quark star properties A. Peshier et al. Introduction. Resummation and quasiparticle models. Implications for quark stars. References. Effective Lagrangians for QCD, Duality and Exact Results Francesco Sannino. Effective Lagrangians for QCD. Color Flavor Locked Phase. Duality made transparent in QCD. 2 SC General Features and Effective Lagrangian. Non Perturbative Exact Results: Anomaly Matching Conditions. Acknowledgments. References. Color superconductivity and high density effective theory Deog Ki Hong. Introduction. High Density Effective Theory. More on matching. Color superconductivity in dense QCD. Quark matter under stress. Positivity of HDET. References. Color superconducting quark matter and the interior of neutron stars Micaela Oertel, Michael Buballa. Introduction. The scalar color antitriplet condensate. Spin-1 condensate for a two-flavor system. Neutral quark matter. Compact stars with a color superconducting quark matter core. Acknowledgments. References. Superconductivity with deformed Fermi surfaces and compact stars Armen Sedrakian. Introduction. Homogeneous superconducting state. Superconducting phases with broken space symmetries. Flavor asymmetric quark condensates. Concluding remarks. References. Neutral Dense Quark Matter Mei Huang, Igor Shovkovy. Introduction. Local charge neutrality: homogeneous phase. Global charge neutrality: mixed phase. Conclusion. References. Possibility of color magnetic superconductivity Toshitaka Tatsumi et al. Introduction. What is ferromagnetism in quark matter? Color magnetic superconductivity. Chiral symmetry and magnetism. Summary and Concluding remarks. Acknowledgments. References. Magnetic Fields of Compact Stars with Superconducting Quark Cores David M. Sedrakian et al. Introduction. Free Energy. Ginzburg-Landau equations. Vortex Structure. Solution of Ginzburg-Landau Equations. The Magn

Vortex structure of neutron stars with CFL quark cores

The Ginzburg-Landau equations are derived for the magnetic and gluomagnetic gauge fields of nonabelian semi-superfluid vortex filaments in color superconducting cores of neutron stars containing a diquark CFL condensate. The interaction of the diquark CFL condensate with the magnetic and gluomagnetic gauge fields is taken into account. The asymptotic values of the energies of these filaments are determined from the quantization conditions. It is shown that a lattice of semi-superfluid vortex filaments with a minimal quantum of circulation develops in the quark superconducting core during rotation of the star. The magnetic field in the core of this vortex is on the order of 1018 G. A cluster of proton vortices, which develops in the hadron phase surrounding every superfluid neutron vortex owing to an entrainment effect, creates new semi-superfluid vortex filaments with a minimal quantum of circulation in the quark superconducting core.

Magnetic Field of a Neutron Star With Color Superconducting Quark Matter Core

The behaviour of the magnetic field of a neutron star with a superconducting quark matter core is investigated in the framework of the Ginzburg-Landau theory. We take into account the simultaneous coupling of the diquark condensate field to the usual magnetic and to the gluomagnetic gauge fields. We solve the Ginzburg-Landau equations by properly taking into account the boundary conditions, in particular, the gluon confinement condition. We found the distribution of the magnetic field in both the quark and hadronic phases of the neutron star and show that the magnetic field penetrates into the quark core in the form of quark vortices due to the presence of Meissner currents.

Meissner Effect for “Color” Superconducting Quark Matter

The behavior of the magnetic field inside the superconducting quark matter core of a neutron star is investigated in the framework of the Ginzburg-Landau theory. We take into account the simultaneous coupling of the diquark condensate field to the usual magnetic and to the gluomagnetic gauge fields. We solve the problem for three different physical situations: a semi-infinite region with a planar boundary, a spherical region, and a cylindrical region. We show that Meissner currents near the quark core boundary effectively screen the external static magnetic field.

Type I superconductivity of protons in neutron stars

The magnetic structure of neutron vortices in the superfluid cores of neutron stars is determined assuming that the proton condensate forms a type I superconductor. It is shown that the entrainment currents induced by the neutron vortex circulation cause the proton superconductor to break into successive domains of normal and superconducting regions. The Gibbs free-energy is found in the case in which the normal domains form cylindrical tubes coaxial with the neutron vortex. The minimum of the energy functional corresponds to a tube radius

Magnetic field of strange stars with rotating superfluid core

asim 0.1-0.5 ~b

MAGNETIC FIELDS OF COMPACT STARS WITH SUPERCONDUCTING QUARK CORES

, where

Magnetic field of pulsars with superconducting quark core

b

Type-I superconductivity of protons and magnetic fields of pulsars

is the outer radius of the neutron vortex. The magnetic field within the tube is of the order of

Superfluid Core Rotation in Pulsars. I. Vortex Cluster Dynamics

5 times 10^{14}