A Unified Maxwell–Bloch Framework for Multi-periodic 6.7 GHz Methanol Flaring in G9.62+0.20E

We analyze a decade of 6.7 GHz methanol monitoring data in G9.62+0.20E, confirming the known periodicities of p1 = 241.3 ± 2.3 d and p2 = 52.5 ± 0.3 d, and identifying three new cycles at p3 = 127.0 ± 1.6 d, p4 = 163.9 ± 2.9 d, and p5 = 204.1 ± 1.5 d. The 241.3-d and 204.1-d periods occur in multiple velocity channels, while the others are confined to single components. Despite their diverse morphologies and timescales, all flares can be reproduced within a unified Maxwell–Bloch framework operating in the fast-transient superradiance regime, driven by narrow periodic pump excitations. Model fits yield consistent environmental parameters across periodicities (temperatures, collisional timescales), pointing to broadly uniform physical conditions in the masing region. The discovery of new periodicities and their unified Maxwell-Bloch modelling provide a consistent picture of multi-periodic flaring in G9.62+0.20E and support superradiance as a general framework for flaring in maser-hosting regions.