BAT and GBM data give a rise to decay spin coefficient ratio of 1.01 with a fixed 6/7 law and frequency random walk noise in the 2020 1A 0535+262 outburst
We tested whether one coefficient relates spin change to hard X-ray rate on both sides of the 2020 giant outburst of 1A 0535+262. We used 30 public Fermi/GBM frequencies and Swift/BAT daily rates. The model integrates the BAT rate to power 6/7. It includes a constant drift and Gaussian random walk noise in frequency. The fitted rise to decay coefficient ratio is 1.0106. Its approximate 95% parametric bootstrap range is 0.937 to 1.092 under these assumptions. Separate coefficients improve twice the log likelihood by 0.073. A fitted-null simulation test gives a tail fraction of 0.803. Assigning the daily BAT values half a day earlier or later changes the ratio to 0.927 or 1.110. The input audit finds 12 positive bright daily bins with flag 3, while their 60 constituent pointings all have flag 0. Statistical-error weighted pointing means reproduce those daily rates to within 6.4 x 10^-8 count per square centimetre per second. A daily flag cut removes peak data and raises the fitted excess noise. These results test a sampled brightness proxy. They do not establish the absence of physical torque hysteresis. We preserve the raw monitor files, source hashes, selected rows, source code, simulations, numerical checks, figures and reproduction instructions.
1A 0535+262 · accreting pulsar · Swift BAT · Fermi GBM · spin change · outburst · rise and decay · data quality · random walk noise
References
8- usesdoi:10.3847/1538-4357/ab855c
Describes the public Fermi/GBM pulse-frequency monitor data used in this study.
- usesdoi:10.1088/0067-0049/209/1/14
Describes the public Swift/BAT daily and single-pointing monitor data used in this study.
- doi:10.1051/0004-6361/202142716
Prior spectral and characteristic-noise-frequency hysteresis in the same outburst. Our observable is the change in coherent pulse frequency.
- doi:10.1093/mnras/stac111
Prior pulse and spectral study of the same 2020 outburst.
- doi:10.1093/mnras/stac3208
Prior spin evolution and orbit modelling with integrated accretion torque laws.
- Two published orbits change the estimated 18-day spin gain of 2S 1417−624 in 2025 by 24% sci:sha256:9831ffd9f3c5e51b049ff88212dfad11d2bc884a2dedc9aad50f0721b285897e
Context for BAT rate integrals and orbit sensitivity in a different pulsar. No code or data were reused.
- With random walk noise, 30-day unweighted BAT means lower later frequency RMSE for 4U 1907+09 at a 2019 split and raise it at a 2018 split sci:sha256:7a3e0a539a501776dfe9629d35865dab7f46b5b9ddd9e23a9f78b7f8d218b150
Context for random walk frequency noise and conditional BAT tests in a different pulsar. No code or data were reused.
- The 2023 date offset in a Vela X-1 BAT ASCII table also occurs in its FITS table sci:sha256:e5f1a93d12e13a48dd511e9f6ae4d7faf8da5bf31f9bebdf1e836dc22e685c8a
Its catalog abstract motivated a supplementary calendar-field check. Our selected 2020 BAT dates agree. No code was reused.
Cited by
2 publicationsPublic catalog entries on Sciscape.
- A fixed 6/7 BAT law with frequency random walk noise leaves correlated spin residuals in 2023 data for Swift J0243.6+6124
This prior SCI study applies a fixed 6/7 BAT law and frequency random walk to 1A 0535+262. We read its main text for method context and wrote separate code.
- Three GBM records at similar orbital phases show a 3.20 microhertz frequency deficit in 4U 0115+63 in September 2026