Two-mediator dark matter models and cosmic electron excess

The cosmic electron energy spectrum recently observed by the DAMPE experiment exhibits two interesting features, including a break around 0.9 TeV and a sharp resonance near 1.4 TeV. In this analysis, we propose a dark matter explanation to both exotic features seen by DAMPE. In our model, dark matter annihilates in the galaxy via two different channels that lead to both a narrow resonance spectrum near 1.4 TeV and electron excess events over an extended energy range thus generating the break structure around TeV. The two annihilation channels are mediated by two gauge bosons that interact both with dark matter and with the standard model fermions. Dark matter annihilations through the s-channel process mediated by the heavier boson produce monoenergetic electron-positron pairs leading to the resonance excess. The lighter boson has a mass smaller than the dark matter such that they can be on-shell produced in dark matter annihilations in the galaxy; the lighter bosons in the final state subsequently decay to generate the extended excess events due to the smeared electron energy spectrum in this process. We further analyze constraints from various experiments, including HESS, Fermi, AMS, and LHC, to the parameter space of the model where both excess events can be accounted for. In order to interpret the two new features in the DAMPE data, dark matter annihilation cross sections in the current galaxy are typically much larger than the canonical thermal cross section needed for the correct dark matter relic abundance. This discrepancy, however, is remedied by the nonperturbative Sommerfeld enhancement because of the existence of a lighter mediator in the model.Comment: 23 pages, 21 figure

Harish-Chandra modules over the \Q Heisenberg-Virasoro Algebra

In this paper, it is proved that all irreducible Harish-Chandra modules over the \Q Heisenberg-Virasoro algebra are of intermediate series (all weight spaces are 1-dimensional)

Wavefront Prediction Using Artificial Neural Networks for Adaptive Optics

Latency in the control loop of Adaptive Optics (AO) systems can severely limit its performance. Theories describing the temporal evolution of the atmospheric turbulence, such as the frozen flow hypothesis, justify the feasibility of predicting the turbulence (or equivalently its measurements) to compensate for the resultant temporal error in the system. This will mostly benefit AO assisted High Contrast Imaging (HCI) instruments for enhanced contrast, or wide-field AO systems for improved sky coverage. In this thesis, we explore the potential of an Artificial Neural Network (ANN) as a nonlinear tool for open-loop wavefront prediction. The ANN predictor composes mainly Long Short-Term Memory (LSTM) cells, an ANN type specialised in sequence modelling and prediction. We demonstrate the efficiency and robustness of an ANN predictor both with simulated and on-sky 7 × 7 Shack-Hartmann Wavefront Sensor (SHWFS) CANARY data measured at 150 Hz, an AO demonstrator on the 4.2 m William Herschel Telescope (WHT), La Palma. We provide evidence that in addition to accurately predicting the wavefronts, an ANN predictor is also filtering high temporal frequencies such as Wavefront Sensor (WFS) noise. We show that an ANN predictor is adaptive to time-variant turbulence on sub-second level without user tuning. Specifically, we show that an ANN predictor is capable of predicting both frozen flow and non-frozen flow such as dome seeing, and that the ANN prediction can be based on a per-subaperture basis. As a pioneer, this thesis examines in great detail the characteristics of an ANN wavefront predictor and provides implications towards an on-sky implementation

Exploring open-charm decay mode ΛcΛˉc\Lambda_c\bar{\Lambda}_c of charmonium-like state Y(4630)Y(4630)

The newly observed $X, Y, Z$ exotic states are definitely not in the standard $Q\bar Q'$ structures, thus their existence composes a challenge to our understanding on the fundamental principles of hadron physics. Therefore the studies on their decay patterns which are determined by the non-perturbative QCD will definitely shed light on the concerned physics. Generally the four-quark states might be in a molecular state or tetraquark or their mixture. In this work, we adopt the suggestion that $Y(4630)$ is a charmonium-like tetraquark made of a diquark and an anti-diquark. If it is true, its favorable decay mode should be $Y(4630)$ decaying into an open-charm baryon pair, since such a transition occurs via strong interaction and is super-OZI-allowed. In this work, we calculate the decay width of $Y(4630)\to\Lambda_c\bar{\Lambda}_c$ in the framework of the quark pair creation (QPC) model. Our numerical results on the partial width computed in the tetraquark configuration coincide with the Belle data within a certain error tolerance.Comment: 8 pages, 4 figures, 1 table. Accepted by Eur. Phys. J.