The role of mass, equation of state and superfluid reservoir in large pulsar glitches

Observations of pulsar glitches may provide insights on the internal physics of neutron stars and recent studies show how it is in principle possible to constrain pulsar masses with timing observations. The reliability of these estimates depend on the current uncertainties about the structure of neutron stars and on our ability to model the dynamics of the superfluid neutrons in the internal layers. We assume a simplified model for the rotational dynamics of a neutron star and estimate an upper bound to the mass of 25 pulsars from their largest glitch and average activity: the aim is to understand to which extent the mass constraints are sensitive to the choice of the unknown structural properties of neutron stars, like the extension of the superfluid region and the equation of state. Reasonable values, within the range measured for neutron star masses, are obtained only if the superfluid domain extends for at least a small region inside the outer core, which is compatible with calculations of the neutron S-wave pairing gap. Moreover, the mass constraints stabilise when the superfluid domain extends to densities over nuclear saturation, irrespective of the equation of state tested.Comment: 11 pages, 6 figure

A universal formula for the relativistic correction to the mutual friction coupling time-scale in neutron stars

Vortex-mediated mutual friction governs the coupling between the superfluid and normal components in neutron star interiors. By, for example, comparing precise timing observations of pulsar glitches with theoretical predictions it is possible to constrain the physics in the interior of the star, but to do so an accurate model of the mutual friction coupling in general relativity is needed. We derive such a model directly from Carter's multifluid formalism, and study the vortex structure and coupling time-scale between the components in a relativistic star. We calculate how general relativity modifies the shape and the density of the quantized vortices and show that, in the quasi-Schwarzschild coordinates, they can be approximated as straight lines for realistic neutron star configurations. Finally, we present a simple universal formula (given as a function of the stellar compactness alone) for the relativistic correction to the glitch rise-time, which is valid under the assumption that the superfluid reservoir is in a thin shell in the crust or in the outer core. This universal relation can be easily employed to correct, a posteriori, any Newtonian estimate for the coupling time-scale, without any additional computational expense.Comment: 20 pages, 7 figure

Insights into the physics of neutron star interiors from pulsar glitches

The presence of superfluid phases in the interior of a neutron star affects its dynamics, as neutrons can flow relative to the non-superfluid (normal) components of the star with little or no viscosity. A probe of superfluidity comes from pulsar glitches, sudden jumps in the observed rotational period of radio pulsars. Most models of glitches build on the idea that a superfluid component of the star is decoupled from the spin-down of the normal component, and its sudden recoupling leads to a glitch. This transition in the strength of the hydrodynamic coupling is explained in terms of quantum vortices (long-lived vortices that are naturally present in the neutron superfluid at the microscopic scale). After introducing some basic ideas, we derive (as a pedagogical exercise) the formal scheme shared by many glitch studies. Then, we apply these notions to present some recent advances and discuss how observations can help us to indirectly probe the internal physics of neutron stars.Comment: 30 pages, 7 figures. Chapter 7 of the volume "Astrophysics in the XXI Century with Compact Stars", Eds. C.A.Z. Vasconcellos and F. Weber, World Scientific (2022), submitted in August 202

A Bayesian estimate of the superfluid moments of inertia from the 2016 glitch in the Vela pulsar

The observation of the first pulse-to-pulse glitch in the Vela pulsar opens a new window on theoretical speculations about the internal dynamics of neutron stars, as it allows to test models for the description of the first moments in a glitch. We improve the analytical study of the minimal three-component model for pulsar glitches, by solving it with generic initial conditions for the two initial lags of the superfluid components. The purpose is to use this solution to fit the data of the 2016 Vela glitch - by employing a Bayesian approach - and to obtain a probability distribution for the physical parameters of the model and for observational parameters like the glitch rise time and the relaxation timescale. A physically reasonable, non-informative prior has been set on the different parameters of the model, so that the posterior distribution can be compared with state-of-the-art information obtained from microphysical calculations. By considering a model with a tightened prior on the moment of inertia fractions and by comparing it with the original model by means of Bayesian model selection, we study the possibility of a crust-limited superfluid reservoir. The posterior distribution for the moment of inertia fractions of the superfluid components, the coupling parameters and the initial velocity lags between the components has been obtained. Analysis of the inferred posterior also confirms the presence of an overshoot in that glitch, and sets an upper limit of 6 seconds on the glitch rise timescale. The comparison between the two models with different priors on the moment of inertia fractions seems to indicate the necessity of a core participation in the glitch phenomenon, regardless of the uncertain strength of the entrainment coupling.Comment: 12 pages, 5 figures. Comments welcom

Statistical estimates of the pulsar glitch activity

A common way to calculate the glitch activity of a pulsar is an ordinary linear regression of the observed cumulative glitch history. This method however is likely to underestimate the errors on the activity, as it implicitly assumes a (long-term) linear dependence between glitch sizes and waiting times, as well as equal variance, i.e., homoscedasticity, in the fit residuals, both assumptions that are not well justified from pulsar data. In this paper, we review the extrapolation of the glitch activity parameter and explore two alternatives: the relaxation of the homoscedasticity hypothesis in the linear fit and the use of the bootstrap technique. We find a larger uncertainty in the activity with respect to that obtained by ordinary linear regression, especially for those objects in which it can be significantly affected by a single glitch. We discuss how this affects the theoretical upper bound on the moment of inertia associated with the region of a neutron star containing the superfluid reservoir of angular momentum released in a stationary sequence of glitches. We find that this upper bound is less tight if one considers the uncertainty on the activity estimated with the bootstrap method and allows for models in which the superfluid reservoir is entirely in the crust.Comment: 18 pages, 4 figures, contribution to special issue "Superfluidity and Superconductivity in Neutron Stars", see https://doi.org/10.3390/universe701000

Intoxicação experimental por amônia em bovinos que receberam uréia extrusada ou granulada: achados clínicos

Doze garrotes Girolando, nunca alimentados com uréia, foram distribuídos em dois grupos de seis animais cada. Ambos os grupos receberam intraruminalmente dose única (0,5 g/kg PV) de uréia extrusada (G1) ou granulada (G2), para induzir quadro de intoxicação por amônia. O quadro clínico exibido pelos garrotes foi acompanhado durante 240 minutos. Além da constatação dos sinais clínicos clássicos ligados a essa intoxicação, o presente trabalho descreve a presença de três novos sinais: desidratação, hipotermia e vasos episclerais ingurgitados. Convulsão, considerada sinal definitivo, ocorreu em cinco de seis animais de cada grupo. Um garrote (G1) exibiu apenas fasciculações, enquanto outro (G2) desenvolveu quadro clínico típico, porém sem convulsão, e recuperou-se espontaneamente sem tratamento. Os surgimentos de tremores musculares, decúbito esternal e episódios convulsivos ocorreram em momentos similares em ambos os grupos, mas quando analisados conjuntamente verificou-se que foram mais tardios no G1 (p < 0,04). O 1º sinal clínico observado foi a fasciculação, seguida por apatia, hiperestesia, apoio em obstáculos, tremores musculares, atonia ruminal, incoordenação motora, decúbito esternal e lateral, desidratação leve ou severa, e convulsão. Maiores freqüências cardíacas foram detectadas na convulsão. Após a convulsão, quatro garrotes de cada grupo apresentaram hipotermia leve. Um garrote do G2 entrou em estado comatoso e sucumbiu subitamente antes que fosse iniciado o tratamento. Apesar da uréia extrusada adiar o surgimento do quadro clínico, os sinais evidenciados foram tão severos quanto os causados por uréia granulada. Ambas formas de uréia, oferecidas em altas doses são perigosas a bovinos que nunca foram alimentados com uréia.Twelve yearling Girolando, rumen-fistulated steers never fed with urea before, were distributed randomly in 2 groups of 6 animals each. Both groups were administered intraruminally a single dose (0.5 g/kg BW) of extruded (G1) or prilled (G2) urea to induce ammonia poisoning. The clinical picture was followed for the next 240 min. Besides the classic signs the present study found 3 new additional sign: dehydration, hypothermia and ingurgitated episcleral veins. Convulsion, considered the definite sign, was seen in 5 out of 6 animals from both groups. One steer (G1) had only fasciculation, while another (G2) developed typical clinical signs, but not convulsion, and recovered spontaneously without treatment. The appearance of clinical signs such as muscle tremors, sternal recumbency and convulsive episode occurred at similar times in both groups, but when analyzed altogether they took place later in G1 (p < 0.04). The 1st sign to show up was fasciculation, followed by apathy, hyperaesthesia, pushing against obstacles, muscle tremor, rumen stasis, incoordination, sternal and then lateral recumbency, mild or severe dehydration, and convulsion. Higher heart rate was detected at the convulsive episodes. After the convulsions, 4 animals from each group had mild hypothermia. One steer from G2 fell down in coma and died suddenly before the beginning of the treatment. Although the extruded urea postponed the clinical picture, the signs were as severe as exhibited by cattle administered prilled urea. Both forms of urea offered at high dose can be harmful to cattle never fed urea

Fresnel diffraction in an interferometer: application to MATISSE

While doing optical study in an instrument similar to the interferometers dedicated to the Very Large Telescope (VLT), we have to take care of the pupil and focus conjugations. Modules with artificial sources are designed to simulate the stellar beams, in terms of collimation and pupil location. They constitute alignment and calibration tools. In this paper, we present such a module in which the pupil mask is not located in a collimated beam thus introducing Fresnel diffraction. We study the instrumental contrast taking into account the spatial coherence of the source, and the pupil diffraction. The considered example is MATISSE, but this study can apply to any other instrument concerned with Fresnel diffraction.Comment: 8 pages- to appear in Proceedings of SPIE Astronomical Telescopes and Instrumentation 201

Laboratorial evaluation of hypertonic and isotonic saline solution and furosemide use for the ammonia poisoning treatment in cattle

Para testar a eficiência de vários tratamentos de intoxicação por amônia em bovinos, foram utilizados 25 garrotes que receberam cloreto de amônio por infusão intravenosa (iv) até o surgimento de quadro convulsivo. Em seguida, os animais foram alocados em um dos cinco grupos experimentais e tratados da seguinte forma: 1) controle: infusão (iv) de 300mL de solução salina isotônica (SSI), no decorrer de 4h; 2) infusão (iv) de 30mL kg-1 PV de SSI no decorrer de 4h e administração de 4L de água intraruminal por meio de sonda esofágica (ASE); 3) mesmo tratamento do grupo 2 e dose única (iv) de furosemida (2mg kg-1 PV) (F); 4) injeção (iv) de 5mL kg-1 PV de solução salina hipertônica (SSH) 7,2% nos primeiros 30min, seguida de 20mL kg-1 PV de SSI e 4L de ASE; 5) mesmo tratamento do grupo 4 e dose única de F. No decorrer de 4h após a convulsão, foram determinados os teores plasmáticos de amônia e glicose, ureia, creatinina, potássio e sódio séricos, volume e gravidade específica da urina, e excreção urinária de amônio e ureia. No momento da convulsão, os teores de amônia plasmáticos foram muito altos e idênticos em todos os tratamentos, mas no 120°min, nos grupos tratados com associação de SSH+SSI+ASE (grupos 4 e 5), houve diminuição desse metabólito. O uso de furosemida (grupos 3 e 5) não aumentou a excreção total de urina. A terapia com associação de SSH+SSI+ASE aumentou ainda o volume urinário e a excreção percentual urinária de ureia e amônia durante o período crítico da 1a hora de tratamento, mas o uso de SSI+ASE (grupos 2 e 3) teve resultados intermediários. A eficiência do tratamento com SSH+SSI+ASE ou SSI+ASE foi superior ao grupo controle. Embora com efeito menor que o observado com SSH+SSI+ASE, a SSI+ASE promoveu melhora no quadro clínico geral e, ao término do experimento, promoveu também uma adequada desintoxicação da amônia.To test the efficiency of some treatments for ammonia poisoning in cattle, 25 steers were used. Ammonium chloride solution was infused intravenously (iv) in each steer until the onset of convulsive episode. Thereafter, the animals were distributed in one of the five different groups, as follows: 1) control: infusion (iv) of 300mL isotonic saline solution (ISS) throughout the following 4h; 2) infusion (iv) of ISS 30mL kg-1 BW throughout the following 4h and administration of 4L water (W) through stomach tube; 3) the same as group 2, plus a single dose (iv) 2g furosemide kg-1 BW (F); 4) injection of 5mL kg-1 BW hypertonic saline solution (HSS) (7.2%) (iv) throughout the first 30min, followed by 20mL kg-1 BW of ISS and 4L W.; 5) the same as group 4 and a single dose of F. For the next 4h after the convulsion, plasma concentration of ammonia and glucose, serum urea, creatinine, sodium and potassium, urine total volume and specific gravity, and urinary excretion of ammonium and urea were followed. At the convulsion, the ammonia blood levels were high and similar among the groups, but at the 120th min the animals treated with HSS+ISS+W (groups 4 and 5) had lower values than the control. Furosemide (groups 3 and 5) did not prevent an increase in the total excretion of urine. The therapy with HSS+ISS+W still increased the urinary volume and the total urinary excretion of urea and ammonium during the critical 1st h of treatment, while the use of ISS+W had intermediate results. The efficiency of the treatment with HSS+ISS+W or ISS+W was better than the control group. Although with lower efficiency as seen in the treatment with HSS+ISS+W, the ISS+W caused an improvement in the clinical picture and at the end of the experiment generated an adequate ammonia detoxificatio