Bulletin of the American Physical Society
Joint Fall 2013 Meeting of the Texas Sections of the APS, AAPT, and Zone 13 of the SPS
Volume 58, Number 10
Thursday–Saturday, October 10–12, 2013; Brownsville, Texas
Session B5: Computational and High Energy Physics |
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Chair: Walter Wilcox, Baylor University Room: EDBC 1.524 |
Friday, October 11, 2013 10:30AM - 10:42AM |
B5.00001: Quantum Particle on a Lattice: Interaction with a Periodic Potential Mark O'Callaghan, Bruce Miller We study the equilibrium properties of a single quantum particle (qp) interacting with a classical lattice gas for a wide range of temperatures that will explore the system's behavior in the classical as well as in the quantum regime. A path-integral formalism is developed in which the quantum particle is represented by a closed, variable-step random walk on the lattice. Monte Carlo methods are employed to determine the system's properties. For the case of a free particle, in earlier work the canonical ensemble was utilized to derive analytical expressions for the energy, its fluctuations, and the qp-qp correlation function. Here the Metropolis algorithm is employed to determine the effects of interactions between each atom and the qp for a specific potential. We consider a striped potential in one dimension, where every other lattice site is occupied by an atom with potential ?, and every other lattice site is empty. An analytical solution was determined in this case by utilizing Bloch's theorem due to the periodicity of the potential. Comparisons of the potential energy of the qp are made between the results of the Monte Carlo simulations and the analytical calculations. [Preview Abstract] |
Friday, October 11, 2013 10:42AM - 10:54AM |
B5.00002: Renormalization of QED Near Decoupling Temperature Samina Masood We re-examine the renormalization of QED near decoupling temperature and show that the QED perturbative series is convergent, at temperatures, below the decoupling temperature. The renormalization constant of QED acquire different values, if a system cools down from a hotter system to the electron mass temperature or heats up from a cooler system to the same temperature. At T$=$m, the first order contribution to (($\delta $m)/m) is 0.0076 for a heating system and 0.0115 for a cooling system and the difference between two values is equal to 1/3 of the low temperature value and 1/2 of the high temperature value at T$=$m. [Preview Abstract] |
Friday, October 11, 2013 10:54AM - 11:06AM |
B5.00003: Numerical Methods for Multifractal Analysis Yui Shiozawa, Bruce Miller, Jean-Louis Rouet The discovery of a rather strange type of set, called fractal, led to the extension of the notion of dimension. Fractals play an important role in everything from medical imaging to cosmology. Fractals sets are characterized by self-similarity, and power laws can be associated with them. For a monofractal, the scaling pattern is homogeneous everywhere while it varies over the set for multfractals. By introducing the generalized dimension $D_q$, a spectrum of dimensions can be assigned to the set if it is a multifractal. In finding the generalized dimensions, the box-counting method has been by far the most popular choice among researchers across various fields. However, it is known that the class of methods which deal with partitions of equal size is ill-suited for computing the generalized dimensions on some domain of $q$. Two promising methods which utilize partitions of equal mass and distributed mass, rather than equal size, were investigated. Here we will report the results of our investigation. [Preview Abstract] |
Friday, October 11, 2013 11:06AM - 11:18AM |
B5.00004: The Orthogonal Polynomial Projection Quantization Method and Exactly Solvable Quantum Systems: A Moment Representation Shortcut to the Nikiforov-Uvarov Approach Carlos Handy, Daniel Vrinceanu, Donald Kouri, Rahul Gupta, Brenden Killeen, Kush Patel We show how two formulations of the Orthogonal Polynomial Projection Quantization Method (OPPQ) recently developed by Handy and Vrinceanu (J. Phys. A: Math. {\&} Theor.: \textbf{46}, 135202 (2013); J. Phys. B: At. Mol. Opt. Phys. \textbf{46}, 115002 (2013)) yield exact energies for one dimensional Exactly Solvable Quantum Systems. The second of these yields explicit closed form expressions for the discrete state energies. Our formulation bypasses the intricacies of the Nikiforov-Uvarov approach, popular among many researchers. We review most of these problems outlining their analysis through the two formulations of OPPQ. [Preview Abstract] |
Friday, October 11, 2013 11:18AM - 11:30AM |
B5.00005: Comparison of Correlation Functions for Path Integral Formulation of Ortho-Positronium in Dense Fluids Terrence Reese, Bruce Miller In previous work the Path Integral Monte Carlo (PIMC) technique was used to simulate a quantum particle (qp) in a dense Lennard-Jones 6-12 fluid having the thermodynamic properties of Xenon. Because of the difference in thermal wavelengths between the qp and the fluid molecules the fluid molecules can be treated classically. This combination using quantum mechanics for the qp and classical mechanics for the fluid molecules is a hybrid model. The path integral formulation represents a qp as a closed chain of P classical particles in which the quantum uncertainty in the position of the qp is manifested in the finite width spread of the polymer chain. The PIMC technique allows standard classical Monte Carlo techniques to be used to compute quantum mechanical equilibrium values like the ortho-Positronium pick-off decay rate. The Correlation Function, C(k), is the mean of the product of the difference of a variable, at the times j and j$+$k, with the average value of that variable divided by the variance. The correlation length, k, at which C (k) becomes zero, indicates the number of passes before values of the independent variable become statistically independent. The Correlation Function versus the correlation length has been plotted for the decay rate covering different polymer segment lengths, temperatures, densities, and fluid molecule numbers. The number of statistically independent configurations has also been computed for each thermodynamic system. [Preview Abstract] |
Friday, October 11, 2013 11:30AM - 11:42AM |
B5.00006: Some Issues of the BCS-BEC Crossover for Dense Quark Matter Israel Portillo Vazquez, Efrain Ferrer, Vivian Incera, Jason Keith We explore the possible BCS-BEC crossover on strong-interacting matter and its implications for the system's equation of state. The study will be focus on different phases of dense quark-matter beyond nuclear density and at vanishing temperatures. We show that in the strongly coupled 2SC phase of color superconductivity no BCS-BEC crossover can take place due to the system's color neutrality. [Preview Abstract] |
Friday, October 11, 2013 11:42AM - 11:54AM |
B5.00007: Search for Heavy, Long-Lived Neutral Particles that Decay to Photons at CDF II using a Nanosecond Photon Timing System Randy White New particles can be produced from the high energy proton anti-proton collisions at the Fermi National Accelerator Laboratory (Fermilab). The products of these collisions, recorded by the Collider Detector at Fermilab (CDF), can be measured for the arrival times of photons produced in the decay of particles created in the interaction. Thus we may be sensitive to the production of new, massive particles that decay in flight to photons. Such particles can be produced in versions of Supersymmetry, and even be produced as the decay of a Higgs boson. Since the photons that may have come from such events will arrive at the surface of the detector later than photons produced directly from the primary collision, they can be separated in time and analyzed for significance with a nanosecond timing resolution. New results will be presented. [Preview Abstract] |
Friday, October 11, 2013 11:54AM - 12:06PM |
B5.00008: Using RPC Data to Assist CSC Data when Dealing with Pt Assignment John Bredemann, Ivan Furic, Matthew Carver The Compact Muon Solenoid's (CMS) two main detectors used in the endcaps, the CSC and RPC, are positioned closely together [1]. This means that, while the RPC's main function is one of time synchronization and the CSC's is one of precise position measurement, the former may be able to be used as a supplement to the latter's data when assigning the momentum value (Pt) to a muon passing through the two detectors. Using the RPC's positions variable (Phi), a comparison was made between it and the CSC's Phi reading in order to determine whether there was sufficient correlation between them to use the RPC's data where the CSC has gaps. Preliminary results on this analysis will be presented. \\[4pt] [1] Wotschack, Joerg (CERN), ATLAS Muon Chamber Construction Parameters for CSC, MDT, and RPC chambers, ATL-MUON-PUB-2008-006, (2009) [Preview Abstract] |
Friday, October 11, 2013 12:06PM - 12:18PM |
B5.00009: Search for a new dark matter boson in the ATLAS detector Harisankar Namasivayam A search is performed for a new dark matter boson decaying to pairs of electron-positron or muon-antimuon in a final state consisting of collimated leptons, known as ``Lepton jets.'' The analysis was performed on the data collected by the ATLAS detector at the Large Hadron Collider (LHC) with the center-of-mass energy of collision at 7 TeV. The lepton jets (pair of collimated leptons) topology is a proposed signature for the decay of hypothetical, boosted, dark matter particles. The analysis tries to test the dark matter theories that attempt to explain the astronomical observation of energetic particles observed by the PAMELA experiment. [Preview Abstract] |
Friday, October 11, 2013 12:18PM - 12:30PM |
B5.00010: MgB2 Beam Transport Channel for a Strong Focusing Cyclotron Karie Melconian, Kyle Damborsky, Joshua Kellams, Peter McIntyre, Nathaniel Pogue, Akhdiyor Sattarov, Saeed Assadi A superconducting strong focusing cyclotron is being developed for high current applications. Alternating-gradient focusing is provided by an array of $\sim$ 6T/m superconducting beam transport channels which lie along the beam trajectories in the sectors of the cyclotron. The $\sim$1T sector dipoles, corrector dipoles, and Panofsky type quadrupoles utilize MgB2 superconductor operating in the range 15-20 K. The quadrupole windings make it possible to produce strong focusing of the transverse phase space throughout acceleration. The trim dipole makes it possible to maintain isochronicity and to open the orbit spacing at injection and extraction. The design, development and prototype progress will be presented. [Preview Abstract] |
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