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Model For Scattering With Proliferating Resonances: Many Coupled Square Wells, Nirav P. Mehta, Kaden R. A Hazzard, Christopher Ticknor
Model For Scattering With Proliferating Resonances: Many Coupled Square Wells, Nirav P. Mehta, Kaden R. A Hazzard, Christopher Ticknor
Physics and Astronomy Faculty Research
We present a multichannel model for elastic interactions, composed of an arbitrary number of coupled finite square-well potentials, and derive semianalytic solutions for its scattering behavior. Despite the model's simplicity, it is flexible enough to include many coupled short-ranged resonances in the vicinity of the collision threshold, as is necessary to describe ongoing experiments in ultracold molecules and lanthanide atoms. We also introduce a simple but physically realistic statistical ensemble for parameters in this model. We compute the resulting probability distributions of nearest-neighbor resonance spacings and analyze them by fitting to the Brody distribution. We quantify the ability of alternative …
Resonance In The Motion Of A Geocentric Satellite Due To Poynting-Robertson Drag, Charanpreet Kaur, Binay K. Sharma, L. P. Pandey
Resonance In The Motion Of A Geocentric Satellite Due To Poynting-Robertson Drag, Charanpreet Kaur, Binay K. Sharma, L. P. Pandey
Applications and Applied Mathematics: An International Journal (AAM)
The problem of resonance in a geocentric Satellite under the combined gravitational forces of the Sun and the Earth due to Poynting-Robertson (P-R) drag has been discussed in this paper with the assumption that all three bodies, the Earth, the Sun and the Satellite, lie in an ecliptic plane. Our approach differs from conventional ones as we have placed evaluated velocity of the Satellite in equations of motion.We observed five resonance points commensurable between the mean motion of the Satellite and the average angular velocity of the Earth around the Sun, out of which two resonances occur only due to …
Effects Of Tension On Resonant Frequencies Of Strings, Blake Burnett
Effects Of Tension On Resonant Frequencies Of Strings, Blake Burnett
Senior Theses
This project tests and explores resonance of strings. Since all materials and mechanisms are affected by vibrations, it is important to know the frequencies at which resonance occurs. To explore this subject, strings were used as a model material to test the effect tension has on resonance. The fundamental frequencies and the corresponding modes of resonance were used to analyze the data. The results of this experiment show that increasing tension on a string increases its resonance frequency. Understanding the physics behind resonance frequency allows systems to be designed to take advantage of resonance properties, or to avoid resonance where …
Resonant Anisotropic Emission In Rabbitt Spectroscopy, Bejan M. Ghomashi
Resonant Anisotropic Emission In Rabbitt Spectroscopy, Bejan M. Ghomashi
Honors Undergraduate Theses
A variant of RABBITT pump-probe spectroscopy in which the attosecond pulse train comprises both even and odd harmonics of the fundamental IR probe frequency is explored to measure time-resolved photoelectron emission in systems that exhibit autoionizing states. It is shown that the group delay of both one-photon and two-photon resonant transitions is directly encoded in the energy-resolved photoelectron anisotropy as a function of the pump-probe time-delay. This principle is illustrated for a 1D model with symmetric zero-range potentials that supports both bound states and shape-resonances. The model is studied using both perturbation theory and solving the time-dependent Schodinger equation on …
Shape Resonances Of The Transverse Magnetic Mode In A Spherically Stratified Medium, Umaporn Nuntaplook, John A. Adam
Shape Resonances Of The Transverse Magnetic Mode In A Spherically Stratified Medium, Umaporn Nuntaplook, John A. Adam
Mathematics & Statistics Faculty Publications
Although morphology-dependent resonances (MDRs) have been studied for decades, it is interesting to note that TM resonances have not been as widely investigated as those of the TE mode. Nevertheless, the formers are also worthy of additional study. Even though the TE and TM mode resonances can be generated using the same technique, their properties (such as the additional sharp peak in the source function at the particle surface) are quite distinct. We present the derivation of the resonance formulations for TM mode for both increasing and decreasing piecewise-constant refractive index profiles in a two-layer model of a sphere embedded …
Mechanically Driven Pendula For Instructional Laboratories, R. M. Pacheco
Mechanically Driven Pendula For Instructional Laboratories, R. M. Pacheco
Master's Theses and Doctoral Dissertations
I present a new, low-cost approach to observing driven resonance with simple and physical pendula. I mount a pendulum on a dynamics cart that is made to oscillate along a horizontal line by a stepper motor and micro-controller. The pendulum pivot therefore has a position that varies sinusoidally with time with a constant, adjustable frequency. I designed and constructed the experiment to be easily implemented into any physics lab. I tested the apparatus and observed driven resonance for both types of pendula. All of the measured resonant frequencies I determined using the apparatus had percent uncertainties under 4% and all …
Resonances From Lattice Qcd, Raúl A. Briceño
Resonances From Lattice Qcd, Raúl A. Briceño
Physics Faculty Publications
The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for …