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Register a new userIllusory Flow in Radiation from Accelerating Charge
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In this paper we analyze the classical electromagnetic radiation of an accelerating point charge moving on a straight line trajectory. Depending on the duration of accelerations, rapidity distributions of photons emerge, resembling the ones obtained in the framework of hydrodynamical models by Landau or Bjorken. Detectable differences between our approach and spectra obtained from hydrodynamical models occur at high transverse momenta and are due to interference.
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Abraham Lorentz (AL) formula of Radiation Reaction and its relativistic generalization, Abraham Lorentz Dirac (ALD) formula, are valid only for periodic (accelerated) motion of a charged particle, where the particle returns back to its original state. Thus, they both represent time averaged solutions for radiation reaction force. In this paper, another expression has been derived for radiation reaction following a new approach, starting from Larmor formula, considering instantaneous change (rather than periodic change) in velocity, which is a more realistic situation. Further, it has been also shown that the new expression for Radiation Reaction is free of pathological solutions; which were unpleasant parts of AL as well as ALD equations; and remained unresolved for about 100 years.
We compute the suppression and elliptic flow of bottomonium using real-time solutions to the Schr{o}dinger equation with a realistic in-medium complex-valued potential. To model the initial production, we assume that, in the limit of heavy quark masses, the wave-function can be described by a lattice-smeared (Gaussian) Dirac delta wave-function. The resulting final-state quantum-mechanical overlaps provide the survival probability of all bottomonium eigenstates. Our results are in good agreement with available data for $R_{AA}$ as a function of $N_{rm part}$ and $p_T$ collected at $sqrt{s_{rm NN}} =$ 5.02 TeV. In the case of $v_2$ for the various states, we find that the path-length dependence of $Upsilon(1s)$ suppression results in quite small $v_2$ for $Upsilon(1s)$. Our prediction for the integrated elliptic flow for $Upsilon(1s)$ in the $10{-}90$% centrality class is $v_2[Upsilon(1s)] = 0.0026 pm 0.0007$. We additionally find that, due to their increased suppression, excited bottomonium states have a larger elliptic flow and we make predictions for $v_2[Upsilon(2s)]$ and $v_2[Upsilon(3s)]$ as a function of centrality and transverse momentum. Similar to prior studies, we find that it is possible for bottomonium states to have negative $v_2$ at low transverse momentum.
The acceleration of the expansion of the universe has been argued for by several research groups. If the universe is accelerating and if the universe or some part of the universe has a charge, then there may be electromagnetic radiation produced from the acceleration of the universe since accelerating charges produce electromagnetic radiation. This letter does a thought experiment to ask about the possible characteristics of the radiation from an accelerating universe. A value for the power, or rate of energy flow, of the universes acceleration is calculated in this letter. A value of the power of the electromagnetic radiation emitted by the universes acceleration is calculated to be P = 5.99 x 10 -82 Joule/sec or 5.99 x 10 -82 Watts. This value for the power assumes only the charge of an electron as the value for the charge; larger charges would produce much larger rates of energy flow. The letter then reveals what a characteristic of a charged, accelerating universe would be.
The Chiral Magnetic Wave (CMW) [1] predicts a dependence of the positive and negative particle elliptic flow on the event charge asymmetry. Such a dependence has been observed by the STAR Collaboration [2]. However, it is rather difficult to interpret the results of this measurement, as well as to perform cross-experiment comparisons, due to the dependence of the observable on experimental inefficiencies and the kinematic acceptance used to determine the net asymmetry. We propose another observable that is free from these deficiencies. It also provides possibilities for differential measurements clarifying the interpretation of the results. We use this new observable to study the effect of the local charge conservation that can mimic the effect of the CMW in charge dependent flow measurements.
Theory Summary Talk given by Tamas S. Biro at SQM 2013, Birmingham, UK.
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