arXiv subjects

P. Haensel

Publications and source records attributed to P. Haensel.

At least 55 records · Page 3Linked to original sources

arXiv2009

Keplerian frequency of uniformly rotating neutron stars and quark stars

We calculate Keplerian (mass shedding) configurations of rigidly rotating neutron stars and quark stars with crusts. We check the validity of empirical formula for Keplerian frequency, f_K, proposed by Lattimer & Prakash, f_K(M)=C (M/M_sun)^1/2 (R/10km)^-3/2, where M is the (gravitational) mass of Keplerian configuration, R is the (circumferential) radius of the non-rotating configuration of the same gravitational mass, and C = 1.04 kHz. Numerical calculations are performed using precise 2-D codes based on the multi-domain spectral methods. We use a representative set of equations of state (EOSs) of neutron stars and quark stars. We show that the empirical formula for f_K(M) holds within a few percent for neutron stars with realistic EOSs, provided 0.5 M_sun < M < 0.9 M_max,stat, where M_max,stat is the maximum allowable mass of non-rotating neutron stars for an EOS, and C=C_NS=1.08 kHz. Similar precision is obtained for quark stars with 0.5 M_sun < M < 0.9 M_max,stat. For maximal crust masses we obtain C_QS = 1.15 kHz, and the value of C_QS is not very sensitive to the crust mass. All our C's are significantly larger than the analytic value from the relativistic Roche model, C_Roche = 1.00 kHz. For 0.5 M_sun < M < 0.9 M_max,stat, the equatorial radius of Keplerian configuration of mass M, R_K(M), is, to a very good approximation, proportional to the radius of the non-rotating star of the same mass, R_K(M) = aR(M), with a_NS \approx a_QS \approx 1.44. The value of a_QS is very weakly dependent on the mass of the crust of the quark star. Both a's are smaller than the analytic value a_Roche = 1.5 from the relativistic Roche model.

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arXiv2008

Physics of Neutron Star Crusts

The physics of neutron star crusts is vast, involving many different research fields, from nuclear and condensed matter physics to general relativity. This review summarizes the progress, which has been achieved over the last few years, in modeling neutron star crusts, both at the microscopic and macroscopic levels. The confrontation of these theoretical models with observations is also briefly discussed.

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arXiv2008

Deformation and crustal rigidity of rotating neutron stars

We calculate parameters A and B of the Baym-Pines model of the hydro-elastic equilibrium of rotating neutron stars. Parameter A determines the energy increase of a non-rotating star due to a quadrupolar deformation of its shape. Parameter B determines residual quadrupolar deformation due to the crustal shear strain, in a neutron star that spun-down to a non-rotating state. The calculations of A are based on precise numerical 2-D calculations for rotating neutron stars with realistic equations of state (EOSs) of dense matter. An approximate, but quite precise, formula for B is used, which allows us to separate the contribution of the crust from the dependence on the stellar mass M and radius R. The elastic shear strain distribution within the crust is modeled following Cutler et al. (2003). A(M) and B(M) are calculated for 0.2Msun < M < 0.9M_max for seven EOSs of neutron star core, combined with several crust models. A standard formula based on the incompressible fluid model is shown to severely underestimate the value of A. For M<0.7Msun A(M) is nearly EOS independent and are given (within a few percent) by a universal formula A=3.87(M/Msun)^7/3 [10^53 erg]. We derive the scaling of B with respect to R and M, valid also for a thick crust. We show that B for accreted crust strongly depends on pycnonuclear fusions at rho>10^12 g/cm^3.

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arXiv2008

Fast rotation of neutron stars and equation of state of dense matter

Fast rotation of compact stars (at submillisecond period) and, in particular, their stability, are sensitive to the equation of state (EOS) of dense matter. Recent observations of XTE J1739-285 suggest that it contains a neutron star rotating at 1122 Hz (Kaaret et al. 2007). At such rotational frequency the effects of rotation on star's structure are significant. We study the interplay of fast rotation, EOS and gravitational mass of a submillisecond pulsar. We discuss the EOS dependence of spin-up to a submillisecond period, via mass accretion from a disk in a low-mass X-ray binary.

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arXiv2008

Thermal conductivity of ions in a neutron star envelope

We analyze the thermal conductivity of ions (equivalent to the conductivity of phonons in crystalline matter) in a neutron star envelope. We calculate the ion/phonon thermal conductivity in a crystal of atomic nuclei using variational formalism and performing momentum-space integration by Monte Carlo method. We take into account phonon-phonon and phonon-electron scattering mechanisms and show that phonon-electron scattering dominates at not too low densities. We extract the ion thermal conductivity in ion liquid or gas from literature. Numerical values of the ion/phonon conductivity are approximated by analytical expressions, valid for T>10^5 K and 10^5 g cm^-3 < ρ< 10^14 g cm^-3. Typical magnetic fields B~10^12 G in neutron star envelopes do not affect this conductivity although they strongly reduce the electron thermal conductivity across the magnetic field. The ion thermal conductivity remains much smaller than the electron conductivity along the magnetic field. However, in the outer neutron star envelope it can be larger than the electron conductivity across the field, that is important for heat transport across magnetic field lines in cooling neutron stars. The ion conductivity can greatly reduce the anisotropy of heat conduction in outer envelopes of magnetized neutron stars.

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arXiv2007

EOS of dense matter and fast rotation of neutron stars

Recent observations of XTE J1739-285 suggest that it contains a neutron star rotating at 1122 Hz. Such rotational frequency would be the first for which the effects of rotation are significant. We study the consequences of very fast rotating neutron stars for the potentially observable quantities as stellar mass and pulsar period.

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arXiv2007

The energy release--stellar angular momentum independence in rotating compact stars undergoing first-order phase transitions

We present the general relativistic calculation of the energy release associated with a first order phase transition (PT) at the center of a rotating neutron star (NS). The energy release, E_rel, is equal to the difference in mass-energies between the initial (normal) phase configuration and the final configuration containing a superdense matter core, assuming constant total baryon number and the angular momentum. The calculations are performed with the use of precise pseudo-spectral 2-D numerical code; the polytropic equations of state (EOS) as well as realistic EOSs (Skyrme interactions, Mean Field Theory kaon condensate) are used. The results are obtained for a broad range of metastability of initial configuration and size of the new superdense phase core in the final configuration. For a fixed ``overpressure'', dP, defined as the relative excess of central pressure of a collapsing metastable star over the pressure of the equilibrium first-order PT, the energy release up to numerical accuracy does not depend on the stellar angular momentum and coincides with that for nonrotating stars with the same dP. When the equatorial radius of the superdense phase core is much smaller than the equatorial radius of the star, analytical expressions for the E_rel can be obtained: E_rel is proportional to dP^2.5 for small dP. At higher dP, the results of 1-D calculations of E_rel(dP) for non-rotating stars reproduce with very high precision exact 2-D results for fast-rotating stars. The energy release-angular momentum independence for a given overpressure holds also for the so-called ``strong'' PTs (that destabilise the star against the axi-symmetric perturbations), as well as for PTs with ``jumping'' over the energy barrier.

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arXiv2007

Models of crustal heating in accreting neutron stars

Heating associated with non-equilibrium nuclear reactions in accreting neutron-star crusts is reconsidered, taking into account suppression of neutrino losses demonstrated recently by Gupta et al. Two initial compositions of the nuclear burning ashes, A=56 and A=106, are considered. Dependence of the integrated crustal heating on uncertainties plaguing pycnonuclear reaction models is studied. One-component plasma approximation is used, with compressible liquid-drop model of Mackie and Baym to describe nuclei. Evolution of a crust shell is followed from 10^8 g/cm^3 to 10^(13.6) g/cm^3 The integrated heating in the outer crust agrees nicely with results of self-considtent multicomponent plasma simulations of Gupta et al.; their results fall between our curves obtained for A=56 and A=106. Total crustal heat per one accreted nucleon ranges between 1.5 MeV to 1.9 MeV for A=106 and A=56, respectively. The value of total crustal heat per nucleon depends weakly on the presence of pycnonuclear reactions at densities 10^(12)-10^(13) g/cm^3. Remarkable insensitivity of the total crustal heat on the details of the distribution of nuclear processes in accreted crust is explained.

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arXiv2007

Neutron star cooling after deep crustal heating in the X-ray transient KS 1731-260

We simulate the cooling of the neutron star in the X-ray transient KS 1731-260 after the source returned to quiescence in 2001 from a long (>~ 12.5 yr) outburst state. We show that the cooling can be explained assuming that the crust underwent deep heating during the outburst stage. In our best theoretical scenario the neutron star has no enhanced neutrino emission in the core, and its crust is thin, superfluid, and has the normal thermal conductivity. The thermal afterburst crust-core relaxation in the star may be not over.

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arXiv2007

Strong first-order phase transition in a rotating neutron star core and the associated energy release

We calculate the energy release associated with a strong first-order phase transition, from normal phase N to an "exotic" superdense phase S, in a rotating neutron star. Such a phase transition, accompanied by a density jump rho_N --> rho_S, is characterized by rho_S/rho_N > 3/2(1+P_0/rho_N c^2), where P_0 is the pressure, at which phase transition occurs. Configurations with small S-phase cores are then unstable and collapse into stars with large S-phase cores. The energy release is equal to the difference in mass-energies between the initial (normal) configuration and the final configuration containing an S-phase core, total stellar baryon mass and angular momentum being kept constant. The calculations of the energy release are based on precise numerical 2-D calculations. Polytropic equations of state (EOSs) as well as realistic EOS with strong first-order phase transition due to kaon condensation are used. For polytropic EOSs, a large parameter space is studied. For a fixed "overpressure", dP, defined as the relative excess of central pressure of collapsing metastable star over the pressure of equilibrium first-order phase transition, the energy release E_rel does not depend on the stellar angular momentum. It coincides with that for nonrotating stars with the same dP. Therefore, results of 1-D calculations of E_rel(dP) for non-rotating stars can be used to predict, with very high precision, the outcome of much harder to perform 2-D calculations for rotating stars with the same dP. This result holds also for dP_min < dP < 0, corresponding to phase transitions with climbing over the energy barrier separating metastable N-phase configurations from those with an S-phase core. Such phase transitions could be realized in the cores of newly born, hot, pulsating neutron stars.

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arXiv2007

Two branches of neutron stars - reconciling a 2M_sun pulsar and SN1987A

The analysis of SN1987A led Brown and Bethe (1995) to conclusion, that the maximum mass of cold neutron stars is low, M_max ~ 1.5M_sun. Such a low M_max, due to a kaon condensation in the stellar core, implies collapse of a too massive deleptonized protoneutron star into a black hole. This would naturally explain the lack of a neutron star in the SN1987A remnant. On the other hand, recent evaluation of mass of PSR J0751+1807 gives M_max > 2M_sun. This contradicts the original Bethe-Brown model, but can be reconciled within scenarios proposed in the present Letter. We consider two types of dense matter models with high-density softening, due to a transition from a non-strange N-phase of matter to a strangeness carrying phase S: kaon condensation and deconfinement of quarks. Two scenarios of neutron star formation in stellar core collapse are considered. In the first scenario, realized in sufficiently hot and dense supernova cores, nucleation of an S-phase is sufficiently rapid so as to form an S-phase core, and implying M_max = M^S_max =~ 1.5M_sun. In the second scenario, nucleation of the S-phase at neutron star birth is too slow to materialize, and the star becomes cold without forming an S-phase core. Then, stellar mass can increase via accretion, until central density ρ_crit is reached, and the S phase forms. This N branch of neutron stars ends at M=M_crit. We select several models of N-phase satifying the necessary condition M^N_max > 2M_sun and combine them with models of kaon condensation and quark deconfinement. For kaon condensation, we get M_crit =~ M^S_max =~ 1.5M_sun, which is ruled out by PSR J0751+1807. On the contrary, for the EOSs with quark deconfinement we get M_crit =~ M^N_max > 2M_sun, which reconciles SN1987A and PSR J0751+1807.

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arXiv2007

Rotation at 1122 Hz and the neutron star structure

Recent observations of XTE J1739-285 suggest that it contains a neutron star rotating at 1122 Hz. Such rotation imposes bounds on the structure of neutron star in XTE J1739-285. These bounds may be used to constrain poorly known equation of state of dense matter. One-parameter families of stationary configurations rotating rigidly at 1122 Hz are constructed, using a precise 2-D code solving Einstein equations. Hydrostatic equilibrium solutions are tested for stability with respect to axi-symmetric perturbations. A set of ten diverse EOSs of neutron stars is considered. Hypothetical strange stars are also studied. For each EOS, the family of possible neutron star models is limited by the mass shedding limit, corresponding to maximum allowed equatorial radius, R_max, and by the instability with respect to the axi-symmetric perturbations, reached at the minimum allowed equatorial radius, R_min. We get R_min \simeq 10-13km, and R_max \simeq 16-18km, with allowed mass 1.4-2.3 M_\odot. Allowed stars with hyperonic or exotic-phase core are supramassive and have a very narrow mass range. Quark star with accreted crust might be allowed, provided such a model is able to reproduce X-ray bursts from XTE J1739-285.

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arXiv2007

Long Gamma Ray Bursts from Quark Stars

If strange quark matter (SQM) is the true ground state of hadronic matter, then conversion of neutron stars (NS) into quark stars (QS) could release some 10^{53} erg. We describe a scenario of burning of a NS into a hot, differentially rotating QS. Emission of released non-baryonic energy through the QS surface is discussed. The role of magnetobuoyancy of SQM is mentioned. The outflow of gamma e+ e- lasting for up to ~1000 s could be at the origin of long GRBs. Advantages of hot, differentially rotating QS as an inner engine of long GRBs are reviewed.

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arXiv2006

Nucleon superfluidity versus thermal states of isolated and transiently accreting neutron stars

The properties of superdense matter in neutron star (NS) cores control NS thermal states by affecting the efficiency of neutrino emission from NS interiors. To probe these properties we confront the theory of thermal evolution of NSs with observations of their thermal radiation. Our observational basis includes cooling isolated NSs (INSs) and NSs in quiescent states of soft X-ray transients (SXTs). We find that the data on SXTs support the conclusions obtained from the analysis of INSs: strong proton superfluidity with T_{cp,max} >= 10^9 K should be present, while mild neutron superfluidity with T_{cn,max} =(2*10^8 -- 2*10^9) K is ruled out in the outer NS core. Here T_{cn,max} and T_{cp,max} are the maximum values of the density dependent critical temperatures of neutrons and protons. The data on SXTs suggest also that: (i) cooling of massive NSs is enhanced by neutrino emission more powerful than the emission due to Cooper pairing of neutrons; (ii) mild neutron superfluidity, if available, might be present only in inner cores of massive NSs. In the latter case SXTs would exhibit dichotomy, i.e. very similar SXTs may evolve to very different thermal states.

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arXiv2006

Equation of state of neutron star cores and spin down of isolated pulsars

We study possible impact of a softening of the equation of state by a phase transition, or appearance of hyperons, on the spin evolution of of isolated pulsars. Numerical simulations are performed using exact 2-D simulations in general relativity. The equation of state of dense matter at supranuclear densities is poorly known. Therefore, the accent is put on the general correlations between evolution and equation of state, and mathematical strictness. General conjectures referring to the structure of the one-parameter families of stationary configurations are formulated. The interplay of the back bending phenomenon and stability with respect to axisymmetric perturbations is described. Changes of pulsar parameters in a corequake following instability are discussed, for a broad choice of phase transitions predicted by different theories of dense matter. The energy release in a corequake, at a given initial pressure, is shown to be independent of the angular momentum of collapsing configuration. This result holds for various types of phases transition, with and without metastability. We critically review observations of pulsars that could be relevant for the detection of the signatures of the phase transition in neutron star cores.

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arXiv2006

Energy release associated with a first-order phase transition in a rotating neutron star core

We calculate energy release associated with a first order phase transition at the center of a rotating neutron star. The results are based on precise numerical 2-D calculations, in which both the polytropic equations of state (EOS) as well as realistic EOS of the normal phase are used. Presented results are obtained for a broad range of metastability of initial configuration and size of the new superdense phase core in the final configuration. For small radii of the superdense phase core analytical expressions for the energy release are obtained. For a fixed "overpressure" dP (the relative excess of central pressure of collapsing metastable star over the pressure of equilibrium first-order phase transition) the energy release remarkably does not depend on the stellar angular momentum and coincides with that for nonrotating stars with the same dP. The energy release is proportional to dP^2.5 for small dPs, when sufficiently precise brute force 2-D numerical calculations are out of question. For higher dPs, results of 1-D calculations of energy release for non-rotating stars are shown to reproduce, with very high precision, the exact 2-D results for rotating stars.

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arXiv2006

Phase transitions in rotating neutron stars cores: back bending, stability, corequakes and pulsar timing

The back-bending phenomenon for compact stars is studied by means of analytical equations of state, for both constant-pressure phase transitions and the transitions through the mixed-phase region. We restrict ourselves to the case of normal rotating configurations, with baryon mass below the maximum allowable baryon mass for non-rotating stars. We use high-precision 2-D multi-domain spectral code LORENE to search the parameter space for possible instability regions, and possible changes in the stability character of rotating stars with phase transitions in their cores. Conditions on the density jump in constant-pressure phase transitions, leading to the existence of the unstable segments in the evolutionary sequences of spinning down isolated normal neutron stars, are derived. Conjectures concerning the existence of two disjoint families of non-rotating and rotating stationary configurations of neutron stars are formulated. Particular case of EOSs leading to marginal instability of static and rotating configurations is also studied: marginal instability point in non-rotating configurations continues to exist in all evolutionary spin-down tracks. The fate of rotating stars entering the region of instability is discussed. The change in radius, energy release, and spin-up associated with the corequake in rotating neutron star, triggered by the instability, are calculated. The energy release is found to be very weakly dependent on the angular momentum of collapsing star.

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arXiv2005

Non-equilibrium beta processes in superfluid neutron star cores

The influence of nucleons superfluidity on the beta relaxation time of degenerate neutron star cores, composed of neutrons, protons and electrons, is investigated. We numerically calculate the implied reduction factors for both direct and modified Urca reactions, with isotropic pairing of protons or anisotropic pairing of neutrons. We find that due to the non-zero value of the temperature and/or to the vanishing of anisotropic gaps in some directions of the phase-space, superfluidity does not always completely inhibit beta relaxation, allowing for some reactions if the superfluid gap amplitude is not too large in respect to both the typical thermal energy and the chemical potential mismatch. We even observe that if the ratio between the critical temperature and the actual temperature is very small, a suprathermal regime is reached for which superfluidity is almost irrelevant. On the contrary, if the gap is large enough, the composition of the nuclear matter can stay frozen for very long durations, unless the departure from beta equilibrium is at least as important as the gap amplitude. These results are crucial for precise estimation of the superfluidity effect on the cooling/slowing-down of pulsars and we provide online subroutines to be implemented in codes for simulating such evolutions.

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