Investigation of the NREL phase VI experiment with the incompressible CFD solver THETA
Not Available
Länger-Möller, A.↗
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Compatibility of $\theta_{13}$ and the Type I Seesaw Model with $A_4$ Symmetry
We derive formulae for neutrino masses and mixing angles in a type I seesaw framework with an underlying A (4) flavor symmetry. In particular, the Majorana neutrino mass matrix includes contributions from an A (4) triplet, 1, 1('), and 1(") flavon fields. Using these formulae, we constrain the general A (4) parameter space using the updated global fits on neutrino mixing angles and mass squared differences, including results from the Daya Bay and RENO experiments, and we find predictive relations among the mixing parameters for certain choices of the triplet vacuum expectation value. In the normal hierarchy case, sizable deviation from maximal atmospheric mixing is predicted, and such deviation is strongly correlated with the value of θ(13) in the range of ~ (8 -10)°. On the other hand, such deviation is negligible and insensitive to θ(13) in the inverted mass hierarchy case. We also show expectations for the Dirac CP phase resulting from the parameter scan. Future refined measurements of neutrino mixing angles will test these predicted correlations and potentially show evidence for particular triplet vev patterns.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Theta, time reversal and temperature
SU(N) gauge theory is time reversal invariant at θ = 0 and θ = π. We show that at θ = π there is a discrete ’t Hooft anomaly involving time reversal and the center symmetry. This anomaly leads to constraints on the vacua of the theory. It follows that at θ = π the vacuum cannot be a trivial non-degenerate gapped state. (By contrast, the vacuum at θ = 0 is gapped, non-degenerate, and trivial.) Due to the anomaly, the theory admits nontrivial domain walls supporting lower-dimensional theories. Depending on the nature of the vacuum at θ = π, several phase diagrams are possible. Assuming area law for space-like loops, one arrives at an inequality involving the temperatures at which CP and the center symmetry are restored. We also analyze alternative scenarios for SU(2) gauge theory. The underlying symmetry at θ = π is the dihedral group of 8 elements. If deconfined loops are allowed, one can have two O(2)-symmetric fixed points. In conclusion, it may also be that the four-dimensional theory around θ = π is gapless, e.g. a Coulomb phase could match the underlying anomalies.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Sustained frontal midline theta enhancements during effortful listening track working memory demands
Not Available
Wisniewski, Matthew G.↗
Ab Initio Density Functional Calculations of Adsorption of Transition Metal Atoms on theta-Al2O3 (010) Surface
The catalytic properties of metal clusters and particles depend on their environment, however, little is known so far about the subnanometer metal particles, smallest being single atoms, supported on metal oxide substrates, especially, the systems that can be experimentally synthesized. Employing first principles density functional theory approach, we have studied single metal atoms, Ni, Pt, Pd, Cu, Au, and Ag, adsorbed on a -Al2O3 (010) surface. We find that metal adsorption on a dry alumina surface follows the binding strength order of Pd>Pt>Ni>Cu>Au>Ag. Interestingly, Ni, Pt, and Pd atoms, supported on alumina, exhibit no magnetization whereas Cu, Ag, and Au exhibit unpaired electrons. The bonding picture that emerges from this study shows that Ni, Pt, and Pd, are d10 species with d-s hybrid character that are able to interact with the 2p orbital of surface oxygen. The interaction of Group 11 (Cu, Ag, Au) atoms with 010 surface of -Al2O3 is superficially similar to that of Group 10 metals. Group 11 metals with filled d orbitals have low tendency for d-s hybridization due to larger energy gaps than Group 10 metals. As a result of the overlap with O 2p, the d orbital shifts to lower energy. The magnetization of Group 11 metals is primarily due to single electrons in s orbitals.
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
First demonstration of high current canted-cosine-theta coils with Bi-2212 Rutherford cables
Not Available
Garcia Fajardo, L. (ORCID:0000000348985884)↗
Simulating quantum mechanics with a $\theta$-term and an ’t Hooft anomaly on a synthetic dimension
A topological θ-term in gauge theories, including quantum chromodynamics in 3 +1 dimensions, gives rise to a sign problem that makes classical Monte Carlo simulations impractical. Quantum simulations are not subject to such sign problems and are a promising approach to studying these theories in the future. In the near term, it is interesting to study simpler models that retain some of the physical phenomena of interest and their implementation on quantum hardware. For example, dimensionally reducing gauge theories on small spatial tori produces quantum mechanical models which, despite being relatively simple to solve, retain interesting vacuum and symmetry structures from the parent gauge theories. We consider quantum mechanical particle-on-a-circle models, related by dimensional reduction to the 1 + 1d Schwinger model, that possess a θ-term and realize an ’t Hooft anomaly or global inconsistency at θ = π. These models also exhibit the related phenomena of spontaneous symmetry breaking and instanton-anti-instanton interference in real time. We propose an experimental scheme for the real-time simulation of a particle on a circle with a θ-term and a $\mathbb{Z}_n$ potential using a synthetic dimension encoded in a Rydberg atom. Simulating the Rydberg atom with realistic experimental parameters, we demonstrate that the essential physics can be well captured by the experiment, with expected behavior in the tunneling rate as a function of θ. Similar phenomena and observables can also arise in more complex quantum mechanical models connected to higher-dimensional non-Abelian gauge theories by dimensional reduction.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Baseline Optimization for the Measurement of CP Violation, Mass Hierarchy, and $\theta_{23}$ Octant in a Long-Baseline Neutrino Oscillation Experiment
Next-generation long-baseline electron neutrino appearance experiments will seek to discover C P violation, determine the mass hierarchy and resolve the θ 23 octant. In light of the recent precision measurements of θ 13 , we consider the sensitivity of these measurements in a study to determine the optimal baseline, including practical considerations regarding beam and detector performance. We conclude that a detector at a baseline of at least 1000 km in a wide-band muon neutrino beam is the optimal configuration.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Interplay of the sign problem and the infinite volume limit: Gauge theories with a theta term
Not Available
Cai, Yiming↗
Alternating-gradient canted cosine theta superconducting magnets for future compact proton gantries
Not Available
42 ENGINEERING↗
Finite-Element Analysis of the Strain Distribution Due to Bending in a REBCO Coated Conductor for Canted Cosine Theta Dipole Magnet Applications
High-current cables using REBCO tapes can be used to develop high-field dipole magnets. However, the strain accumulated during cable fabrication and coil winding may reduce the critical current of the conductor. Therefore, it is important to properly consider the strain when designing high-field magnets. We used structural finite-element analysis (FEA) to predict the strain experienced by a REBCO tape during bending in configurations relevant to the fabrication of high-field accelerator magnets, in particular, the mechanical strain generated during cable fabrication and winding in a canted-cosθ dipole configuration. We considered two different cable options: (A) Flat tape that lay in the mandrel channel and (B) a REBCO tape helically wound around a circular copper core, the typical configuration of the conductor in round core cable (CORC). Strain accumulated during tape winding is studied for different core diameters and winding tilt angles. FEA longitudinal strain results were compared with the simulations for configuration A, where higher strain was observed experimentally. Configuration B was verified indirectly by comparing experimentally measured I c with the one predicted (based on the longitudinal strain) as a function of the bending diameter. Good agreement was found up to a bending diameter of 30 mm. The presented results will help to understand the impact of bending on REBCO tapes and CORC wires to develop high-field magnets.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
Magneto-Mechanical Optimization of Cross-Sections for $ \text{cos}(\theta)$Accelerator Magnets
The cross-section design of cos (θ) superconducting magnets is historically developed in a two-step process: initially, the coil geometry is defined on the basis of magnetic optimizations; then, the structure is designed around the coil. The first step searches for the best coil cross-section maximizing the magnetic field, margin, field quality and conductor efficiency. The latter step aims at limiting the coil stresses and deformations. However, the coil design, defined with the initial magnetic optimization, can influence the mechanical behaviour of the magnet, altering, for example, the peak stress during operation. As the critical current is a function of the applied strain, the mechanical implications of the coil cross-section design can limit the achievable performance. In this paper we propose an integrated optimization process that targets the peak stress on the conductor in addition to the magnetic objectives. Here the results are presented for a sample high-field Nb 3 Sn dipole: a 4-layer design aiming at ultimate conductor performance.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗
Development of a Small-Aperture Cos-theta Dipole Insert Coil Based on Bi2212 Rutherford Cable and Stress Management Structure
The U.S. Magnet Development Program (US-MDP) is developing high-field accelerator magnets with magnetic fields beyond the limits of Nb3Sn technology based on high temperature superconductor Bi 2 Sr 2 CaCu 2 O 8-x (Bi2212). However, Bi2212 wires and cables are sensitive to transverse stresses and strains, which are substantial in high-field accelerator magnets. To prevent large degradation of the Bi2212 coils and achieve the required field quality, an innovative design which provides turn positioning during coil fabrication and operation and manage azimuthal and radial strains/stresses in the coil has been proposed at FNAL. This paper describes the development of a small-aperture two-layer Bi2212 dipole coil with stress management. The main parameters of the Bi2212 wire and Rutherford cable, the design of coil stress management structure and its plastic model, the coil mechanical analysis in the dipole mirror configuration are presented and discussed.
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗