Quasi-Periodic Pulsations Detected in Ly $\alpha $ and Nonthermal Emissions During Solar Flares

We report quasi-periodic pulsations (QPPs) with double periods during three solar flares (viz. SOL2011-Feb-15T01:44, SOL2011-Sep-25T04:31, SOL2012-May-17T01:25). The flare QPPs were observed from light curves in Ly$\alpha$, hard X-ray (HXR) and microwave emissions, the Ly$\alpha$ emission recorded by Geostationary Operational Environmental Satellite, HXR Reuven Ramaty High-Energy Solar Spectroscopic Imager Fermi Gamma-ray Burst Monitor, Nobeyama Radio Polarimeters Radioheliograph. By using Markov chain Monte Carlo (MCMC) method, of about two minutes one minute first found emission. Then same a QPP nearly period was also emissions. Considering possible common origin (nonthermal electrons) between HXR/microwave emission, we suggest that two-minute results periodic acceleration nonthermal electrons magnetic reconnections. ratio to be close two, which is consistent theoretical expectation fundamental harmonic modes. However, cannot rule out other driving mechanisms for one-minute emissions due their relatively large deviations.