Fixed-phase daily fits give a lower hard-to-soft cycle amplitude ratio for LMC X-4 in 2024–2026 than in 2017–2024
We compare the strength of the long X-ray cycle of LMC X-4 in public MAXI 4–10 keV and Swift/BAT 15–50 keV daily data. Both bands use the same days, exclusions, and weights. A fixed phase model and four Fourier harmonics give a first-harmonic amplitude in each band and interval. The ratio of the hard amplitude change to the soft amplitude change is 0.765. Its conditional 95% interval is 0.656 to 0.886 from 4,000 paired three-cycle block bootstrap draws. The soft amplitude changes by a factor of 1.233 [1.069, 1.425]. The hard amplitude changes by a factor of 0.943 [0.836, 1.050]. The reference has 1,961 matched days from June 2017 to May 2024. The later sample has 389 matched days from June 2024 to September 2026. Wider outburst exclusions, equal weights, a linear phase, and equal interval lengths retain the lower ratio. The second later half is sparse and has 73 non-estimable resamples. A separate Crab mean-rate control gives 1.074 [1.047, 1.093], in the opposite direction. A post hoc check before the first listed nearby outburst gives 0.774 [0.629, 0.918]. These results measure the selected daily products. Calibration errors, source confusion, and uneven exposure can remain. The evidence does not select a physical cause or establish a sudden transition. The package preserves source bytes, provenance, code, selections, bootstrap draws, figures, and instructions for a repeat without a download.
LMC X-4 · MAXI · Swift BAT · superorbital modulation · Fourier amplitude · paired block bootstrap · public data · source confusion
References
9- usesdoi:10.3847/1538-4357/ae4691
We use the central sine coefficients in Table 1 as a fixed phase model. We test amplitude changes in later daily data.
- LMC X-4 data from 2024–2026 show no clear cycle phase shift between 4–10 and 15–50 keV when known outburst dates are excluded sci:sha256:6320833d3c5a45725a18d6b8d67aed596cb74187420695d304060b358529b4b1
This study already tests the recent soft-hard phase. Our new question concerns the change in amplitude ratio between intervals.
- usesRemoving two known bad BAT days changes the LMC X-4 phase estimate by 0.034 cycles in a weighted daily test sci:sha256:d152ecc67c93e86a6bf741b8e9e67a6acae54dad161b2f67cd427e136b1ddd4f
We use the documented exclusion of MJD 58571 and 58572 and cite its test of these known bad BAT days. Our fitting code is new.
- Dates are one day late in four of six tested Swift/BAT pointing tables for 2023–2025 sci:sha256:8df335c8aba52a813960ed565c10e06026b400e9f6d21ae623aefa7ad652b251
This study tests BAT date fields. We independently check normalized YEAR and DAY against MJD in the frozen daily tables.
- Excluding two BAT days reverses the 2024–2026 cubic and sine clock ranking for LMC X-4 with fixed four-harmonic profiles and inverse-variance fits sci:sha256:87981750e74b7929601d600664e560c89f9eb659be35274ef2fb7215817dcf39
Its clock test shows the effect of two high-weight BAT days. We retain the documented date cut and test a linear phase.
- LMC X-4 profiles stay early in the tested 2024–2025 BAT and MAXI data under a fixed phase model sci:sha256:b5ce820c05fc61193a5b949ae562f8784c018c608d4c36d833b097b37887823b
This earlier study tests the continued early phase. We do not claim a new phase transition.
- For a fixed sinusoidal forecast, the fitted 2024–2026 BAT phase offset of LMC X-4 changes sign with the calibration interval sci:sha256:7e5f3e34f8a5e5bc09bbb1aa7f12c236ec6f4fe10599c2487a42476cb5b4a059
This study measures the sensitivity of phase offsets to the reference interval. We also test equal interval lengths for amplitude.
- usesdoi:10.1093/pasj/61.5.999
The MAXI team provides the public daily photon-rate tables used here.
- usesdoi:10.1088/0067-0049/209/1/14
The Swift/BAT team provides the public transient monitor daily rate tables used here.
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