35 research outputs found
Machine learning assisted non-destructive beam profile monitoring
No full text© 2021 Elsevier B.V.We present a non-destructive beam profile monitoring concept that utilizes numerical optimization tools, namely genetic algorithm with a gradient descent-like minimization. The signal picked up by a button BPM includes information about the transverse profile content of the beam. A genetic algorithm is used to transform an arbitrary Gaussian beam in such a way that it eventually reconstructs the transverse position and the shape of the original beam to match the signal on the BPM electrodes. A case study for the developed algorithm is proton EDM experiment where conventional beam profile measurements are not possible. This method allows visualization of fairly distorted beams with non-Gaussian distributions as well.11Nsciescopu
Magnetic field effects on the proton EDM in a continuous all-electric storage ring
No full textElectric dipole moment of the proton can be searched in an electric storage ring by measuring the spin precession rate of the proton beam on the vertical plane. In the ideal case, the spin precession comes from the coupling between the electric field and the electric dipole moment. In a realistic scenario, the magnetic field becomes a major systematic error source as it couples with the magnetic dipole moment in a similar way. The beam can see the magnetic field in various configurations which include direction, time dependence, etc. For instance, geometric phase effect is observed when the beam sees the field at different directions and phases periodically. We have simulated the effect of the magnetic field in the major independent scenarios and found consistent results with the analytical estimations regarding the static magnetic field cases. We have set a limit for the magnetic field in each scenario and proposed solutions to avoid systematic errors from magnetic fields. © 2019 Published by Elsevier B.V.11sciescopu
Hybrid ring design in the storage-ring proton electric dipole moment experiment
No full textA new, hybrid design is proposed to eliminate the main systematic errors in the frozen spin, storage ring measurement of the proton electric dipole moment. In this design, electric bending plates steer the particles, and magnetic focusing replaces electric. The magnetic focusing should permit simultaneous clockwise and counterclockwise storage to cancel systematic errors related to the out-of-plane dipole electric field. Errors related to the quadrupole electric fields can be eliminated by successive runs of magnetic focusing with different strengths
Storage ring probes of dark matter and dark energy
No full textWe show that proton storage ring experiments designed to search for proton electric dipole moments can also be used to look for the nearly dc spin precession induced by dark energy and ultralight dark matter. These experiments are sensitive to both axion-like and vector fields. Current technology permits probes of these phenomena up to 3 orders of magnitude beyond astrophysical limits. The relativistic boost of the protons in these rings allows this scheme to have sensitivities comparable to atomic comagnetometer experiments that can also probe similar phenomena. These complementary approaches can be used to extract the microphysics of a signal, allowing us to distinguish between pseudoscalar, magnetic and electric dipole moment interactions.11Nsciescopu
Exploring Euclidean and Taxicab Geometry with GeoGebra
No full textTechnology has changed the nature of mathematics learning and instructional practices (Andreasen and Haciomeroglu, 2013; Edwards, 2015; Haciomeroglu, Bu, Schoen, and Hohenwarter, 2011). Dynamic and interactive technology enriches students' learning opportunities and shifts the focus of instruction to understanding and student-centered learning by providing a means of modeling mathematical relationships (Bu and Henson, 2016; Haciomeroglu, Bu, Schoen, and Hohenwarter, 2011). The authors connect Euclidean and non-Euclidean geometries through an exploration of rich tasks of Taxicab geometry, sharing methods for organizing and presenting tasks to enhance students' understanding of geometry concepts
Axion searches with the storage ring EDM method
No full textThe axion-gluon coupling induces an oscillating electric dipole moment (EDM) in nucleons. The oscillating EDM can be detected using a storage ring EDM method with resonance between the g-2 precession and the oscillating EDM frequencies. A frequency range from mHz to 100 MHz can be scanned using the resonance method and one below mHz down to about 10−9 Hz can be searched parasitically with the frozen spin method. The estimated sensitivity is at the level of 10−30 e · cm or higher. No experiment has accessed the proposed frequency range at such high sensitivity until now. In this study, we present the experimental method and compare the sensitivity with other experiments
Comprehensive symmetric-hybrid ring design for a proton EDM experiment at below 10−29e·cm
No full textA concise demonstrative summary of the Symmetric-Hybrid ring design for the storage ring proton electric dipole moment experiment is presented. Critical issues such as lattice design, background electrical fields, geometrical phase, general relativity, spin coherence time, and polarimeter systematics are presented. Overall, we find that with the currently proposed design iteration the systematic error sources are reduced by orders of magnitude and that the ring alignment requirements are within currently available technology.11Nsciescopu
Axionlike dark matter search using the storage ring EDM method
No full textWe propose using the storage ring electric dipole moment (EDM) method to search for the axion dark
matter induced EDM oscillation in nucleons. The method uses a combination of B and E fields to produce a
resonance between the g − 2 spin precession frequency and the background axion field oscillation to
greatly enhance sensitivity to it. An axion frequency range from 10−9 Hz to 100 MHz can, in principle, be
scanned with high sensitivity, corresponding to an fa range of 1013 GeV ≤ fa ≤ 1030 GeV, the breakdown
scale of the global symmetry generating the axion or axionlike particles. c.Published by the American Physical Society11sciescopu
Analytical benchmarks for precision particle tracking in electric and magnetic rings
No full textA set of analytical benchmarks for tracking programs is required for precision storage ring experiments. To determine
the accuracy of precision tracking programs in electric and magnetic rings, a variety of analytical estimates of particle
and spin dynamics in the rings were developed and compared to the numerical results of tracking simulations. Initial
discrepancies in the comparisons indicated the need for improvement of several of the analytical estimates. As an
example, we found that the fourth-order Runge-Kutta/Predictor-Corrector method was slow but accurate, and that it
passed all the benchmarks it was tested against, often to the sub-part per billion level. Thus, high precision analytical
estimates and tracking programs based on fourth-order Runge-Kutta/Predictor-Corrector integration can be used to
benchmark faster tracking programs for accuracy. copyright 2015ElsevierB.V.1551sciescopu
ELEMENTARY PRESERVICE TEACHERS CONTENT KNOWLEDGE FOR TEACHING: EXAMINING THEIR ANALYSIS OF STUDENTS ALTERNATIVE SOLUTIONS
No full text35th Annual Conference of the International-Group-for-the-Psychology-of-Mathematics-Education (PME) -- JUL 10-15, 2011 -- Middle E Tech Univ, Ankara, TURKEY[Anstract Not Available]Int Grp Psychol Math Edu
