Open Access
Issue
A&A
Volume 702, October 2025
Article Number A60
Number of page(s) 6
Section Stellar structure and evolution
DOI https://doi.org/10.1051/0004-6361/202555331
Published online 07 October 2025

© The Authors 2025

Licence Creative CommonsOpen Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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1. Introduction

Pulsars are highly magnetized and rapidly rotating neutron stars that emit regular pulses of radiation at their spin rate. While the majority of known pulsars have been observed only at radio frequencies, the number of pulsars detected at γ-ray energies has risen significantly in recent years. NASA’s Fermi Large Area Telescope (LAT; Atwood et al. 2009) set off a revolution in pulsar science. Since its launch, in June 2008, Fermi-LAT has detected almost 300 γ-ray pulsars1, approximately half of which are millisecond pulsars. The Third Fermi-LAT Catalog of Gamma-ray Pulsars (3PC; Smith et al. 2023) presents confirmed γ-ray pulsations from 294 pulsars, with an additional 45 pulsars coincident with LAT γ-ray sources that will likely yield pulsations once phase-connected rotation ephemerides become available.

Some pulsars are known to undergo small sudden increases in their rotation rates, or glitches, followed by a gradual return to their pre-glitch rotation rates. Although much more commonly observed in young and energetic pulsars, such as Vela and the Crab, where they were first detected decades ago (Baym et al. 1969; Boynton et al. 1969), there have been reports of glitches being detected in some millisecond pulsars (Cognard & Backer 2004; McKee et al. 2016). A number of models have been proposed to explain glitches, including starquakes affecting the surface of the neutron star (Ruderman 1969) and the decoupling of the internal superfluid from the crust (Anderson & Itoh 1975), among many others (Haskell & Melatos 2015; Antonopoulou et al. 2022).

Variability in the emission features of certain radio pulsars, that is, pulse shape and intensity, has been found to be correlated with the rotational behavior of such pulsars. The rotation observed in these pulsars is often affected by changes in spin-down rates, with some pulsars abruptly switching between states during these episodes (Lyne et al. 2010). Although observed in the radio, one of the radio pulsars experiencing this switching behavior, PSR J0742-2822, has a LAT γ-ray counterpart. The precise mechanism responsible for the correlated variability observed during such state-switching episodes remains elusive. In other cases, a correlation between the frequency derivative of a pulsar and changes in the pulse profile shape has been uncovered, using a Gaussian process regression to model noisy observations (Brook et al. 2016; Lower et al. 2025). Finally, in at least one instance, a potential connection between glitches and changes in the magnetospheric emission has been uncovered (Weltevrede et al. 2011).

In the γ-ray regime, mode changes have been detected in the LAT γ-ray pulsar J2021+4026 (Allafort et al. 2013; Ng et al. 2016; Takata et al. 2020). PSR J2021+4026 (hereafter J2021) is a young, radio-quiet γ-ray pulsar (P ∼ 256 ms) located within the shell of the Gamma Cygni (G 78.2+2.1) supernova remnant. The pulsar was discovered with Fermi-LAT using blind periodicity searches (Abdo et al. 2009) and is associated with the bright unidentified source EG J2020+4017 observed by the Energetic Gamma Ray Experiment Telescope (EGRET). A likely X-ray counterpart was inferred using Chandra data (Weisskopf et al. 2011) and X-ray pulsations were subsequently detected with XMM-Newton (Lin et al. 2013). J2021 undergoes repeated and quasiperiodic mode changes that affect its period derivative at intervals of 3–4 years. Although similar events have been observed in other pulsars, J2021 is unique in displaying rapid γ-ray flux variability that is simultaneous with its changing spin-down rate. The first state change (jump) was observed in October 2011 (Allafort et al. 2013), when the flux (Fγ ∼ 7.9 × 10−10 erg cm−2 s−1) dropped by 18% and the spin-down rate (̇P ∼ 5.4 × 10−14 s s−1) increased by 5.6% on a timescale of < 7 days; followed by a slow recovery, over a period of about 100 days.

Out of the 294 γ-ray pulsars listed in 3PC, 54 have experienced at least one glitch, with a total of 128 glitches detected in the γ-ray band. Meanwhile, the Australia Telescope National Facility (ATNF) Pulsar Catalogue (Manchester et al. 2005)2 lists 3268 pulsars with emission in the radio band, of which 194 are known to have glitched, for a total of 572 glitches (58 from radio-quiet pulsars). This count does not include the 121 spin-powered pulsars with pulsed emission only at infrared or higher frequencies, 17 of which are glitching pulsars with 58 total glitches. Only 29 glitches appear in both the 3PC and ATNF catalogs. Moreover, 8 events from 3PC are actually spin-down glitches, meaning that they have Δν/ν < 0 at the glitch epoch.

We performed a maximum likelihood spectral analysis of the data encompassing a collection of potential glitches identified by LAT. Our aim is to search for possible variations in the γ-ray flux and spectral parameters of these pulsars that are associated with simultaneous changes in their pulsar spin-down rates. The manuscript is outlined as follows. In Sect. 2 we select a sample of glitches in LAT pulsars. In Sect. 3 we report on the LAT spectral analysis and present the results. We discuss the results in Sect. 4, which is followed by conclusions in Sect. 5.

2. Glitch sample selection criteria

Among the timing models associated with 3PC3, there are 128 instances of GLEP, a parameter that indicates the epoch of a putative glitch. Although we took this number as a proxy for the number of glitches in the γ-ray pulsar population in 3PC, we caution that these do not necessarily represent all the glitches in 3PC pulsars over the time period in question, nor do all of these instances necessarily correspond to true glitches.

To describe the pulsar rotation, the spin frequency is usually expressed by a Taylor series expansion:

ν ( t ) = ν 0 + ν 0 ( t t 0 ) + 1 2 ν ¨ 0 ( t t 0 ) 2 + , $$ \begin{aligned} \nu (t)=\nu _0+{\nu }_0(t-t_0)+\dfrac{1}{2}\ddot{\nu }_0(t-t_0)^2+\dots , \end{aligned} $$(1)

where ν0 = ν(t0) is the spin frequency at a reference time (epoch), t0, while ̇ν0 = ̇ν(t0) and ν ¨ 0 = ν ¨ ( t 0 ) $ {\ddot{\nu}}_0={\ddot{\nu}}(t_0) $ are its time derivatives at the same reference epoch. The observed parameters ν, ̇ν and ν ¨ $ \ddot{\nu} $ are related to the emission processes causing pulsars to spin down. The value of ν ¨ $ {\ddot{\nu}} $ is usually too small to be measured, except for very young pulsars (Lorimer & Kramer 2005). Terms of higher order are typically attributed to the effect of pulsar rotational (or timing) noise (Cordes & Helfand 1980; Shannon et al. 2016). Thus, in the most general case, while undergoing the slow spin-down process, the rotational frequency is given by:

ν sd ( t ) ν 0 + i ν i t i i ! , $$ \begin{aligned} \nu _{\mathrm{sd} }(t)\equiv \nu _0 + \sum _i\dfrac{\nu _i\,t^i}{i!}, \end{aligned} $$(2)

where we arbitrarily set the glitch epoch at t = 0 and sd stands for spin-down. The post-glitch frequency is written as the sum of the pre-glitch frequency plus the permanent change at the time of the glitch and decay terms:

ν ( t ) = { ν sd ( t ) t 0 ν sd ( t ) + Δ ν p + Δ ν ˙ p t + 1 2 Δ ν ¨ p t 2 + Δ ν d e t τ d t > 0 , $$ \begin{aligned} \nu (t)= {\left\{ \begin{array}{ll} \nu _{\mathrm{sd} }(t)&t\le 0\\ \nu _{\mathrm{sd} }(t) + \Delta \nu _\mathrm{p} + \Delta \dot{\nu }_\mathrm{p} \,t+ \dfrac{1}{2}\Delta \ddot{\nu }_p\,t^2 + \Delta \nu _\mathrm{d} \,e^{-\tfrac{t}{\tau _\mathrm{d} }}&t>0, \end{array}\right.} \end{aligned} $$(3)

where ν is the pulse frequency, ν0 is its value at the glitch epoch extrapolated from pre-glitch data, Δνp and Δ ν ˙ p $ \Delta\dot{\nu}_p $ are the permanent changes in ν and ν ˙ $ \dot{\nu} $ at the time of the glitch, Δνd is the decaying part of the frequency increment at the time of the glitch, and τd is the decay timescale. For t < 0, Δνp, Δ ν ˙ p $ \Delta\dot{\nu}_p $ and Δνd are all zero. Note that in general the observed jumps can include contributions from terms with different decay timescales.

We selected a subset of glitches that we considered particularly promising for this analysis (see Figure 1). As a sampling criterion, we defined the fractional change in spin frequency as

Δ ν ν = ν ( 0 + ) ν ( 0 ) ν ( 0 ) = Δ ν p + Δ ν d ν 0 $$ \begin{aligned} \dfrac{\Delta \nu }{\nu } = \dfrac{\nu (0_+)-\nu (0_-)}{\nu (0_-)} = \dfrac{\Delta \nu _p+\Delta \nu _d}{\nu _0} \end{aligned} $$(4)

and the fractional change in spin-down rate as

Δ ν ˙ ν ˙ = ν ˙ ( 0 + ) ν ˙ ( 0 ) ν ˙ ( 0 ) = Δ ν ˙ p Δ ν d τ d ν ˙ 0 , $$ \begin{aligned} \dfrac{\Delta \dot{\nu }}{\dot{\nu }} = \dfrac{\dot{\nu }(0_+)-\dot{\nu }(0_-)}{\dot{\nu }(0_-)} = \dfrac{\Delta \dot{\nu }_p-\dfrac{\Delta \nu _d}{\tau _d}}{\dot{\nu }_0}, \end{aligned} $$(5)

where ν ˙ 0 = ν ˙ ( t = 0 ) $ \dot{\nu}_0 = \dot{\nu} (t = 0) $. We computed these quantities for each glitching pulsar in 3PC based on their best-fit values. We made the assumption that gamma-ray variability is related to the global change in the spin-down rate, that is, to Δ ν ˙ / ν ˙ $ \Delta\dot{\nu} / \dot{\nu} $. Our reference is J2021, which shows a permanent change in the spin-down rate Δ ν ˙ p / ν ˙ 0 5.8 % $ \Delta \dot{\nu}_p / \dot{\nu}_0 \sim 5.8\% $ (Fiori et al. 2024). Therefore, we selected all glitches reported in 3PC with a total Δ̇νν > 5.8% occurring within the time span of the LAT mission. In particular, we excluded the glitches of PSR J1801-2451 at MJD 49469, 52273, and 54470, and one glitch of PSR J2111+4606 at MJD 54750.

thumbnail Fig. 1.

Distribution of |Δ̇νν| with respect to the 0.1–100 GeV energy flux, according to the 4FGL catalog (Abdollahi et al. 2020). The green line indicates the value for J2021. Green dots indicate glitches with a larger jump than J2021; the orange dot corresponds to PSR J0742-2822, the only glitch with a nonzero jump in spin-down.

Although discarded by our selection criteria, we also included two glitches from PSR J0742-2822, the only switching radio pulsar with a Fermi-LAT counterpart (Lyne et al. 2010). In Fig. 1 we report the values of Δ̇νν versus the integrated energy flux in the 0.1–100 GeV range.

Table 1 shows our sample of selected glitches. For each glitch, we chose two time intervals, in order to test for changes in the observed spectral energy distribution (SED). The two time intervals are defined as follows: the pre-glitch time interval starts at the epoch of a previous glitch, when it exists, or on October 28, 2008 (MJD 54767)4, and ends at the glitch epoch; the post-glitch time interval starts at the glitch epoch and ends at the epoch of a subsequent glitch, when it exists, or at the end date of the timing model validity window. This results in typical time windows spanning between months and years.

Table 1.

Glitches selected for the variability analysis.

The reason for choosing large time windows is linked to the implicitly low count rate of Fermi-LAT data. The typical rate of photons observed from a LAT pulsar is up to tens of counts per day over the energy range 100 MeV – 300 GeV (Abdollahi et al. 2022). This implies that the statistical significance of the measure of the flux, and thus of any flux change, improves with the observing time. For the same reason, it is not possible to achieve precise flux measures with observing windows comparable to the timescale of glitches. Therefore, we could not localize the epoch of any rapid flux change precisely by means of spectral analysis alone. Consequently, we had to rely on the knowledge of glitch epochs provided by independent timing methods. The analysis of J2021 carried out by Fiori et al. (2024) also used time windows of up to ∼3.5 years.

3. Search for γ-ray variability

To search for spectral variations in our sample of γ-ray pulsars, we performed a maximum likelihood fit to LAT data of Pass 8 SOURCE class photons (Atwood et al. 2013; Bruel et al. 2018). We included the necessary corrections due to energy dispersion, thus enhancing the accuracy at energies below 1 GeV. We also included likelihood weights, which take into account the systematic errors in the diffuse background into account. Likelihood weights were calculated for each event type, a method known as summed likelihood. Our approach is equivalent to the one adopted by Fiori et al. (2024) for the analysis of the mode changes of J2021. We carried out our analysis using the standard Fermitools5 (formerly ScienceTools), version 1.2.23, released on February 2, 2020.

3.1. Data selection

Fermi-LAT data are publicly available via the Fermi Science Support Center (FSSC)6, which enables events to be selected within a defined radius around a chosen position in the sky and within a given time and energy range. We selected SOURCE class photons (evclass = 128) in the energy range 100 MeV to 300 GeV at incident zenith angles < 90°. The corresponding name of the instrument response functions (IRFs) we used is P8R3_SOURCE_V2. Due to the exponential shape of the pulsar SED, we expected a cutoff at ≈1 GeV, with very few counts expected at very high energies.

Because of the large point spread function (PSF) at low energies (about 3.5° at 100 MeV), the flux of the analysis target is spread over a wide field and is affected by photons from neighboring sources. Thus, we had to define a region of interest (ROI) that is larger than the PSF in order to model all neighboring sources in addition to the source of interest. We chose a square ROI of size 15° ×15°. We applied a binning to photon energies and incidence directions to run a binned likelihood analysis. In the pre-glitch window of the PSR J1341-6220 glitch at MJD 55042 and in both windows the PSR J0742-2822 glitch at MJD 55020, we adopted a bin size of 0.2°. In all other windows, we used pixels of size 0.1°. Typically, the FSSC recommends using 8–10 logarithmically spaced energy bins per decade7. Since Fermi-LAT point sources, and especially γ-ray pulsars, are generally very bright up to 10 GeV, we chose ten energy bins per decade, enabling us to better track the fast variations in the PSF and effective area at low energies. This choice resulted in a total of 35 logarithmically spaced bins in the energy range from 0.1–300 GeV.

Since IRFs are functions of the angle between the direction of the source and the LAT normal, the predicted number of counts depends on the amount of time spent at a given inclination angle during the observation. We note that calculating the array of livetimes at all points of the sky is computationally expensive and results in very large files. Because the exposure varies slowly over the whole sky, we chose a pixel size larger than the angular binning of the data, which should not significantly affect our results. However, the angular resolution should accurately scan all inclination angles up to 90°. Thus, we used 1° pixels and Δcos θ = 0.025.

3.2. Flux and spectral monitoring

Our Fermi-LAT analysis was carried out using the pyLikelihood8 package, a Python implementation of Fermitools. The best fits were obtained using the NEWMINUIT (James & Roos 1975) optimizer. To improve the accuracy of the output from the likelihood analysis, we used a summed likelihood method, which consisted of preparing different sets of data and including them in the analysis as separate components. Each component was treated independently, according to their respective IRFs. In this way, lower quality data will have a lower impact on the ultimate outcome of the fit. In our analysis, we used four components, one for each PSF event type. Whenever the statistical precision on the Galactic diffuse emission was better than the systematic variations in fluxes in the ROI, we chose to neglect the faintest features in the ROI. Thus, we implemented our likelihood weights with the purpose of obtaining test statistic (TS) values that are not overestimated. This is done by properly handling the systematics on the diffuse emission model (Abdollahi et al. 2020). Weighted likelihood was first introduced by Wang & Zidek (2005). The overall effect is an increase in the uncertainties, since the precision is now limited by the systematics. The target systematic error, ϵ, is typically about 3%.

For each target, we built a model of the ROI starting from the LAT 14-year Source Catalog, 4FGL-DR4 (Ballet et al. 2023). Due to the large LAT PSF, in order to account for the flux contribution from sources outside the ROI, we included all 4FGL sources within 20° of the pulsar. We modeled the γ-ray spectrum of our pulsars using the PLSuperExpCutoff49 (PLEC4) function, which is a power law with an exponential cutoff,

dN dE = N 0 ( E E 0 ) d / b Γ S exp { d b 2 [ 1 ( E E 0 ) b ] } $$ \begin{aligned} \dfrac{dN}{dE}=N_0\biggl (\dfrac{E}{E_0}\biggl )^{d/b-\Gamma _\mathrm{S} }\exp \biggl \{\dfrac{d}{b^2}\biggl [1-\biggl (\dfrac{E}{E_0}\biggl )^b\biggr ]\biggr \} \end{aligned} $$(6)

where the normalization N0 is directly the flux density at the reference energy E0, and the shape parameters are the spectral slope, ΓS = dlog(dN/dE)/dlog E, and the spectral curvature, d = d2log(dN/dE)/d(log E)2, at E0. The case in which the exponential index b is zero corresponds to a particular case of the model LogParabola. This parameterization, devised for the LAT 12-year Source Catalog, 4FGL-DR3 (Abdollahi et al. 2022), is more stable and reduces the correlation between parameters, compared to the models used in previous catalogs. We included the background models10 for the Galactic diffuse emission and isotropic diffuse emission for each event type.

For each glitch in Table 1, we set the free parameters based on the following criteria. Since we needed to model the brightest sources in the ROI, the normalizations of the main extended sources in the field and the bright pulsars in the ROI were kept free. The Fermi-LAT PSF is about 3.5° at 100 MeV; thus, sources within this distance of our target may contribute low energy counts. In order to model them, we freed the normalization of all sources within 3.5° of the center of the ROI. We also had to account for variable sources, whose fluxes can vary significantly from the average value reported in the catalog. In 4FGL, sources with a variability index TSvar > 18.48 are considered variable over one-year timescales with 99% confidence (Abdollahi et al. 2020). Thus, we freed the normalizations of all sources with TSvar above this value. However, the efficiency and the speed of the optimization algorithm critically depend on the number of free parameters. To avoid adding too many degrees of freedom to our fit, we fixed all sources with TS < 25, which corresponds to a detection significance lower than 4σ (Abdollahi et al. 2020). We multiply multiplied the Galactic diffuse emission by a power law so that the SED could adjust to absorb part of the large-scale residuals. The normalization and index of the power law were kept free. The isotropic emission was kept fixed. The parameters d and b were fixed. With these criteria, the amount of free parameters is typically between 20 and 30.

The analysis of some of the selected pulsars required some tuning due to the intrinsic complexity of their regions. In particular, the region around Vela showed significant negative residuals, an indication that the model for this source (Abdo et al. 2010a,b; Abdollahi et al. 2020) poorly represents the γ-ray emission. We do not find evidence of flux variability in any of the selected targets. We computed the 95% confidence level upper limits on the flux variation, both absolute and relative to the pre-glitch flux. The results are shown in Table 2.

Table 2.

Results of the variability analysis.

4. Discussion

We conducted the first search for variability in γ-ray emission associated with pulsar glitches characterized by the highest spin-down rates. Our approach aimed to uncover novel insights into the relationship between glitch dynamics and electromagnetic emission in the γ-ray spectrum. This pursuit was motivated by the observation that the first variable pulsar detected in the γ-ray spectrum exhibited a notable change in its spin-down rate. Although this change was not strictly categorized as a glitch, glitches typically entail significant shifts in spin-down rates, making them targets for exploring such variations. We have presented an analysis of seven glitches in six Fermi-LAT pulsars. We estimated the upper limits on flux variations by calculating the absolute difference between the pre-glitch and post-glitch fluxes. The 0.95 quantile of this distribution of absolute differences was taken as the 95% upper limit on the flux variation. Our analysis yielded 95% upper limits on the absolute flux variations associated with these glitches.

We discuss two peculiar pulsars among our chosen targets. PSR J0835-4510, better known as the Vela Pulsar, is the brightest γ-ray pulsar (Kerr 2022), one of the brightest radio pulsars, and is also detected in the optical and X-ray band. It is located nearby, at a distance of 287 pc. It has a spin-down power of 6.9 × 1036 erg s−1 and a surface magnetic field of 3.38 × 1012 G. The Vela pulsar is associated with the Vela supernova remnant (≥10 kyr old; Sushch & Hnatyk 2014) and has been extensively monitored since its discovery in 1968 (Large et al. 1968). The Vela pulsar shows the lowest relative upper limit, suggesting that, if any flux variation occurred, it would be a good candidate for a detection. This is consistent with Vela being one of the brightest and most closely studied γ-ray pulsars.

The second peculiar target is PSR J0742-2822, which is known to exhibit quasiperiodic changes in its observed pulse profile and spin-down rate (Dang et al. 2021). It is a radio-loud pulsar with rotational frequency of 6 Hz, a spin-down rate of −0.06 × 10−11 Hz s−1, a characteristic age of 158.81 kyr, a spin-down power of 1.4 × 1035 erg s−1, and a surface magnetic field of 1.69 × 1012 G. We considered two glitches from this pulsar. Keith et al. (2013) found no correlation between the observed pulse shape and the spin-down rate for at least 200 days prior to one of these glitches (the one at epoch 55020 MJD), following which the correlation became strong. These observations indicate that changes in emission state can be caused by the interaction between the interior of the neutron star and the magnetosphere of the pulsar.

5. Conclusions

Since its launch in 2008, Fermi-LAT has detected almost 300 γ-ray pulsars, including dozens of young glitching pulsars. Our analysis focused on seven events: five glitches with Δ̇νν > 5.8% (equivalent to or greater than the spin-down rate jump observed in J2021) and two glitches from the switching pulsar PSR J0742-2822. In our phase-averaged analysis, we find a consistency in flux and spectral parameters both before and after each selected glitch. Consequently, J2021 remains unique among the γ-ray pulsar population, as no other significant variability was observed during any of the glitching episodes investigated in this study.

We computed relative upper limits on the flux variations spanning between 0.5% and 40%. The upper limit of the PSR J1341-6220 glitch at MJD 55042 is compatible with the absolute energy flux. These limits constrain the magnitude of any possible γ-ray flux variations associated with glitches in these high spin-down-rate pulsars. The wide range of upper limits reflects the varying sensitivities of our analysis to different pulsars, which is influenced by factors such as the pulsar’s brightness, the goodness of the spectral model, and the time span of observations. The lowest relative upper limit was found for the glitch of the Vela pulsar, indicating that this source is the most promising target for a dedicated search for variability. We stress that our work has thus far focused on a small subset of glitches. Moreover, no model is currently able to accurately predict the γ-ray pulsar state changes observed in J2021. A systematic search for γ-ray emission variations associated with glitches in pulsars would be promising and could ultimately lead to a deeper understanding of the physics of pulsar magnetospheres.


4

For the analysis of SOURCE class photons at energies > 30 GeV, it is recommended to exclude data prior to MJD 54767, as stated in the analysis caveats with LAT Pass 8 data (https://fermi.gsfc.nasa.gov/ssc/data/analysis/LAT_caveats.html).

Acknowledgments

The Fermi LAT Collaboration acknowledges generous ongoing support from a number of agencies and institutes that have supported both the development and the operation of the LAT as well as scientific data analysis. These include the National Aeronautics and Space Administration and the Department of Energy in the United States, the Commissariat à l’Energie Atomique and the Centre National de la Recherche Scientifique/Institut National de Physique Nucléaire et de Physique des Particules in France, the Agenzia Spaziale Italiana and the Istituto Nazionale di Fisica Nucleare in Italy, the Ministry of Education, Culture, Sports, Science and Technology (MEXT), High Energy Accelerator Research Organization (KEK) and Japan Aerospace Exploration Agency (JAXA) in Japan, and the K. A. Wallenberg Foundation, the Swedish Research Council and the Swedish National Space Board in Sweden. Additional support for science analysis during the operations phase is gratefully acknowledged from the Istituto Nazionale di Astrofisica in Italy and the Centre National d’Études Spatiales in France. This work performed in part under DOE Contract DE-AC02-76SF00515. This work was partially supported by Fermi GI grant 80NSSC23K1665. This work is partially supported by the US National Science Foundation under Grant No. 2413060. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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All Tables

Table 1.

Glitches selected for the variability analysis.

Table 2.

Results of the variability analysis.

All Figures

thumbnail Fig. 1.

Distribution of |Δ̇νν| with respect to the 0.1–100 GeV energy flux, according to the 4FGL catalog (Abdollahi et al. 2020). The green line indicates the value for J2021. Green dots indicate glitches with a larger jump than J2021; the orange dot corresponds to PSR J0742-2822, the only glitch with a nonzero jump in spin-down.

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