Summation Formulae for Quintic q-Series

Chu, Wenchang

doi:10.3390/math10132210

Cited by 2 publications

(1 citation statement)

References 29 publications

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“…As previously mentioned, the earliest LVK GW alerts of BNS mergers will have poor positional localisations, however, most of the models discussed in Section 2 strongly motivate the need for MWA to be on target during, if not before the merger. An exciting addition to the O4 public alerts is the Early-Warning Alerts from pipelines capable of detecting GWs from the inspiral before the merger of a binary with at least one NS component: GstLAL (Cannon et al 2012; Sachdev et al 2020), MBTAOnline (Adams et al 2016), PyCBC Live (Nitz et al 2018; Dal Canton et al 2021), and SPIIR (Chu et al 2022). However, such alerts will not contain any positional information 2 .…”

Section: A Population Study For the Radio Counterparts To Gw Sourcesmentioning

confidence: 99%

MWA rapid follow-up of gravitational wave transients: Prospects for detecting prompt radio counterparts

Tian,

Anderson,

Cooper

et al. 2023

Publ. Astron. Soc. Aust.

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We present and evaluate the prospects for detecting coherent radio counterparts to gravitational wave (GW) events using Murchison Widefield Array (MWA) triggered observations. The MWA rapid-response system, combined with its buffering mode ( $\sim$ 4 min negative latency), enables us to catch any radio signals produced from seconds prior to hours after a binary neutron star (BNS) merger. The large field of view of the MWA ( $\sim$ $1\,000\,\textrm{deg}^2$ at 120 MHz) and its location under the high sensitivity sky region of the LIGO-Virgo-KAGRA (LVK) detector network, forecast a high chance of being on-target for a GW event. We consider three observing configurations for the MWA to follow up GW BNS merger events, including a single dipole per tile, the full array, and four sub-arrays. We then perform a population synthesis of BNS systems to predict the radio detectable fraction of GW events using these configurations. We find that the configuration with four sub-arrays is the best compromise between sky coverage and sensitivity as it is capable of placing meaningful constraints on the radio emission from 12.6% of GW BNS detections. Based on the timescales of four BNS merger coherent radio emission models, we propose an observing strategy that involves triggering the buffering mode to target coherent signals emitted prior to, during or shortly following the merger, which is then followed by continued recording for up to three hours to target later time post-merger emission. We expect MWA to trigger on $\sim$ $5-22$ BNS merger events during the LVK O4 observing run, which could potentially result in two detections of predicted coherent emission.

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