English for Physics Chap.1. Glassary
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Glossary Physics (I-Introduction)
1 Glossary Physics (I-introduction) - Efficiency: The percent of the work put into a machine that is converted into useful work output; = work done / energy used [-]. = eta In machines: The work output of any machine cannot exceed the work input (<=100%); in an ideal machine, where no energy is transformed into heat: work(input) = work(output), =100%. Energy: The property of a system that enables it to do work. Conservation o. E.: Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Equilibrium: The state of an object when not acted upon by a net force or net torque; an object in equilibrium may be at rest or moving at uniform velocity - not accelerating. Mechanical E.: The state of an object or system of objects for which any impressed forces cancels to zero and no acceleration occurs. Dynamic E.: Object is moving without experiencing acceleration. Static E.: Object is at rest.F Force: The influence that can cause an object to be accelerated or retarded; is always in the direction of the net force, hence a vector quantity; the four elementary forces are: Electromagnetic F.: Is an attraction or repulsion G, gravit. const.6.672E-11[Nm2/kg2] between electric charges: d, distance [m] 2 2 2 2 F = 1/(40) (q1q2/d ) [(CC/m )(Nm /C )] = [N] m,M, mass [kg] Gravitational F.: Is a mutual attraction between all masses: q, charge [As] [C] 2 2 2 2 F = GmM/d [Nm /kg kg 1/m ] = [N] 0, dielectric constant Strong F.: (nuclear force) Acts within the nuclei of atoms: 8.854E-12 [C2/Nm2] [F/m] 2 2 2 2 2 F = 1/(40) (e /d ) [(CC/m )(Nm /C )] = [N] , 3.14 [-] Weak F.: Manifests itself in special reactions among elementary e, 1.60210 E-19 [As] [C] particles, such as the reaction that occur in radioactive decay. -
1.1. Introduction the Phenomenon of Positron Annihilation Spectroscopy
PRINCIPLES OF POSITRON ANNIHILATION Chapter-1 __________________________________________________________________________________________ 1.1. Introduction The phenomenon of positron annihilation spectroscopy (PAS) has been utilized as nuclear method to probe a variety of material properties as well as to research problems in solid state physics. The field of solid state investigation with positrons started in the early fifties, when it was recognized that information could be obtained about the properties of solids by studying the annihilation of a positron and an electron as given by Dumond et al. [1] and Bendetti and Roichings [2]. In particular, the discovery of the interaction of positrons with defects in crystal solids by Mckenize et al. [3] has given a strong impetus to a further elaboration of the PAS. Currently, PAS is amongst the best nuclear methods, and its most recent developments are documented in the proceedings of the latest positron annihilation conferences [4-8]. PAS is successfully applied for the investigation of electron characteristics and defect structures present in materials, magnetic structures of solids, plastic deformation at low and high temperature, and phase transformations in alloys, semiconductors, polymers, porous material, etc. Its applications extend from advanced problems of solid state physics and materials science to industrial use. It is also widely used in chemistry, biology, and medicine (e.g. locating tumors). As the process of measurement does not mostly influence the properties of the investigated sample, PAS is a non-destructive testing approach that allows the subsequent study of a sample by other methods. As experimental equipment for many applications, PAS is commercially produced and is relatively cheap, thus, increasingly more research laboratories are using PAS for basic research, diagnostics of machine parts working in hard conditions, and for characterization of high-tech materials. -
25 Geometric Optics
CHAPTER 25 | GEOMETRIC OPTICS 887 25 GEOMETRIC OPTICS Figure 25.1 Image seen as a result of reflection of light on a plane smooth surface. (credit: NASA Goddard Photo and Video, via Flickr) Learning Objectives 25.1. The Ray Aspect of Light • List the ways by which light travels from a source to another location. 25.2. The Law of Reflection • Explain reflection of light from polished and rough surfaces. 25.3. The Law of Refraction • Determine the index of refraction, given the speed of light in a medium. 25.4. Total Internal Reflection • Explain the phenomenon of total internal reflection. • Describe the workings and uses of fiber optics. • Analyze the reason for the sparkle of diamonds. 25.5. Dispersion: The Rainbow and Prisms • Explain the phenomenon of dispersion and discuss its advantages and disadvantages. 25.6. Image Formation by Lenses • List the rules for ray tracking for thin lenses. • Illustrate the formation of images using the technique of ray tracking. • Determine power of a lens given the focal length. 25.7. Image Formation by Mirrors • Illustrate image formation in a flat mirror. • Explain with ray diagrams the formation of an image using spherical mirrors. • Determine focal length and magnification given radius of curvature, distance of object and image. Introduction to Geometric Optics Geometric Optics Light from this page or screen is formed into an image by the lens of your eye, much as the lens of the camera that made this photograph. Mirrors, like lenses, can also form images that in turn are captured by your eye. 888 CHAPTER 25 | GEOMETRIC OPTICS Our lives are filled with light. -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
9.2 Refraction and Total Internal Reflection
9.2 refraction and total internal reflection When a light wave strikes a transparent material such as glass or water, some of the light is reflected from the surface (as described in Section 9.1). The rest of the light passes through (transmits) the material. Figure 1 shows a ray that has entered a glass block that has two parallel sides. The part of the original ray that travels into the glass is called the refracted ray, and the part of the original ray that is reflected is called the reflected ray. normal incident ray reflected ray i r r ϭ i air glass 2 refracted ray Figure 1 A light ray that strikes a glass surface is both reflected and refracted. Refracted and reflected rays of light account for many things that we encounter in our everyday lives. For example, the water in a pool can look shallower than it really is. A stick can look as if it bends at the point where it enters the water. On a hot day, the road ahead can appear to have a puddle of water, which turns out to be a mirage. These effects are all caused by the refraction and reflection of light. refraction The direction of the refracted ray is different from the direction of the incident refraction the bending of light as it ray, an effect called refraction. As with reflection, you can measure the direction of travels at an angle from one medium the refracted ray using the angle that it makes with the normal. In Figure 1, this to another angle is labelled θ2. -
Electron - Positron Annihilation
Electron - Positron Annihilation γ µ K Z − − − + + + − − − + + + − − − − + + + − − − + + + + W ν h π D. Schroeder, 29 October 2002 OUTLINE • Electron-positron storage rings • Detectors • Reaction examples e+e− −→ e+e− [Inventory of known particles] e+e− −→ µ+µ− e+e− −→ q q¯ e+e− −→ W +W − • The future:Linear colliders Electron-Positron Colliders Hamburg Novosibirsk 11 GeV 12 GeV 47 GeV Geneva 200 GeV Ithaca Tokyo Stanford 12 GeV 64 GeV 8 GeV 12 GeV 30 GeV 100 GeV Beijing 12 GeV 4 GeV Size (R) and Cost ($) of an e+e− Storage Ring βE4 $=αR + ( E = beam energy) R d $ βE4 Find minimum $: 0= = α − dR R2 β =⇒ R = E2, $=2 αβ E2 α SPEAR: E = 8 GeV, R = 40 m, $ = 5 million LEP: E = 200 GeV, R = 4.3 km, $ = 1 billion + − + − Example 1: e e −→ e e e− total momentum = 0 θ − total energy = 2E e e+ Probability(E,θ)=? e+ E-dependence follows from dimensional analysis: density = ρ− A density = ρ+ − + × 2 Probability = (ρ− ρ+ − + A) (something with units of length ) ¯h ¯hc When E m , the only relevant length is = e p E 1 =⇒ Probability ∝ E2 at SPEAR Augustin, et al., PRL 34, 233 (1975) 6000 5000 4000 Ecm = 4.8 GeV 3000 2000 Number of Counts 1000 Theory 0 −0.8 −0.40 0.40.8 cos θ Prediction for e+e− −→ e+e− event rate (H. J. Bhabha, 1935): event dσ e4 1 + cos4 θ 2 cos4 θ 1 + cos2 θ ∝ = 2 − 2 + rate dΩ 32π2E2 4 θ 2 θ 2 cm sin 2 sin 2 Interpretation of Bhabha’sformula (R. -
QCD at Colliders
Particle Physics Dr Victoria Martin, Spring Semester 2012 Lecture 10: QCD at Colliders !Renormalisation in QCD !Asymptotic Freedom and Confinement in QCD !Lepton and Hadron Colliders !R = (e+e!!hadrons)/(e+e!"µ+µ!) !Measuring Jets !Fragmentation 1 From Last Lecture: QCD Summary • QCD: Quantum Chromodymanics is the quantum description of the strong force. • Gluons are the propagators of the QCD and carry colour and anti-colour, described by 8 Gell-Mann matrices, !. • For M calculate the appropriate colour factor from the ! matrices. 2 2 • The coupling constant #S is large at small q (confinement) and large at high q (asymptotic freedom). • Mesons and baryons are held together by QCD. • In high energy collisions, jets are the signatures of quark and gluon production. 2 Gluon self-Interactions and Confinement , Gluon self-interactions are believed to give e+ q rise to colour confinement , Qualitative picture: •Compare QED with QCD •In QCD “gluon self-interactions squeeze lines of force into Gluona flux tube self-Interactions” ande- Confinementq , + , What happens whenGluon try self-interactions to separate two are believedcoloured to giveobjects e.g. qqe q rise to colour confinement , Qualitativeq picture: q •Compare QED with QCD •In QCD “gluon self-interactions squeeze lines of force into a flux tube” e- q •Form a flux tube, What of happensinteracting when gluons try to separate of approximately two coloured constant objects e.g. qq energy density q q •Require infinite energy to separate coloured objects to infinity •Form a flux tube of interacting gluons of approximately constant •Coloured quarks and gluons are always confined within colourless states energy density •In this way QCD provides a plausible explanation of confinement – but not yet proven (although there has been recent progress with Lattice QCD) Prof. -
A Historical Review of the Discovery of the Quark and Gluon Jets
EPJ manuscript No. (will be inserted by the editor) JETS AND QCD: A Historical Review of the Discovery of the Quark and Gluon Jets and its Impact on QCD⋆ A.Ali1 and G.Kramer2 1 DESY, D-22603 Hamburg (Germany) 2 Universit¨at Hamburg, D-22761 Hamburg (Germany) Abstract. The observation of quark and gluon jets has played a crucial role in establishing Quantum Chromodynamics [QCD] as the theory of the strong interactions within the Standard Model of particle physics. The jets, narrowly collimated bundles of hadrons, reflect configurations of quarks and gluons at short distances. Thus, by analysing energy and angular distributions of the jets experimentally, the properties of the basic constituents of matter and the strong forces acting between them can be explored. In this review, which is primarily a description of the discovery of the quark and gluon jets and the impact of their obser- vation on Quantum Chromodynamics, we elaborate, in particular, the role of the gluons as the carriers of the strong force. Focusing on these basic points, jets in e+e− collisions will be in the foreground of the discussion and we will concentrate on the theory that was contempo- rary with the relevant experiments at the electron-positron colliders. In addition we will delineate the role of jets as tools for exploring other particle aspects in ep and pp/pp¯ collisions - quark and gluon densi- ties in protons, measurements of the QCD coupling, fundamental 2-2 quark/gluon scattering processes, but also the impact of jet decays of top quarks, and W ±, Z bosons on the electroweak sector. -
Light Bending and X-Ray Echoes from Behind a Supermassive Black Hole D.R
Light bending and X-ray echoes from behind a supermassive black hole D.R. Wilkins1*, L.C. Gallo2, E. Costantini3,4, W.N. Brandt5,6,7 and R.D. Blandford1 1Kavli Institute for Particle Astrophysics and Cosmology, Stanford University, 452 Lomita Mall, Stanford, CA 94305, USA 2Department of Astronomy & Physics, Saint Mary’s University, Halifax, NS. B3H 3C3, Canada 3SRON, Netherlands Institute for Space Research, Sorbonnelaan 2, 3584 CA Utrecht, The Netherlands 4Anton Pannekoeck Institute for Astronomy, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands 5Department of Astronomy and Astrophysics, 525 Davey Lab, The Pennsylvania State University, University Park, PA 16802, USA 6Institute for Gravitation and the Cosmos, The Pennsylvania State University, University Park, PA 16802, USA 7Department of Physics, 104 Davey Lab, The Pennsylvania State University, University Park, PA 16802, USA *Corresponding author. E-mail: [email protected] Preprint version. Submitted to Nature 14 August 2020, accepted 24 May 2021 The innermost regions of accretion disks around black holes are strongly irradiated by X-rays that are emitted from a highly variable, compact corona, in the immediate vicinity of the black hole [1, 2, 3]. The X-rays that are seen reflected from the disk [4] and the time delays, as variations in the X-ray emission echo or ‘reverberate’ off the disk [5, 6] provide a view of the environment just outside the event horizon. I Zwicky 1 (I Zw 1), is a nearby narrow line Seyfert 1 galaxy [7, 8]. Previous studies of the reverberation of X-rays from its accretion disk revealed that the corona is composed of two components; an extended, slowly varying component over the surface of the inner accretion disk, and a collimated core, with luminosity fluctuations propagating upwards from its base, which dominates the more rapid variability [9, 10]. -
Probing 23% of the Universe at the Large Hadron Collider
Probing 23% of the Universe at the Large Hadron Collider Will Flanagan1 Advisor: Dr Teruki Kamon2 In close collaboration with Bhaskar Dutta2, Alfredo Gurrola2, Nikolay Kolev3, Tom Crockett2, Michael VanDyke2, and Abram Krislock2 1University of Colorado at Boulder, Cyclotron REU Program 2Texas A&M University 3University of Regina Introduction What is cosmologically significant about ‘focus Analysis With recent astronomical measurements, point’? We first decide which events we want to look for. χ~0 ~0 we know that 23% of the Universe is The 1is allowed to annihilate with itself since it is Since χ 1 is undetectable (otherwise it wouldn’t be ‘dark composed of dark matter, whose origin is its own antimatter particle. The χ~ 0 -χ~0 annihilation matter’!), we look for events with a 1 1 Red – Jet distribution unknown. Supersymmetry (SUSY), a leading cross section is typically too small (predicting a relic after MET cut large amount of missing transverse theory in particle physics, provides us with a cold dark χ~0 Z channel dark matter density that is too energy. Also, due to the nature of 1 u- matter candidate, the lightest supersymmetric particle Z0 large). The small µ of focus these decays (shown below) we also χ~0 (LSP). SUSY particles, including the LSP, can be 1 u point x require two energetic jets. 2 f 1 Ω ~0 ~h dx created at the Large Hadron Collider (LHC) at CERN. allows for a larger annihilation χ1 ∫ 0 σ v { ann g~ 2 energetic jets + 2 leptons We perform a systematic study to characterize the cross section for our dark 0.23 698 u- + MET 2 g~ SUSY signals in the "focus point" region, one of a few matter candidate by opening πα ~ u - σ annv = 2 u l cosmologically-allowed parameter regions in our SUSY up the ‘Z channel’ (pictured 321 8M χ~0 l+ 0.9 pb 2 ~+ model. -
E+ E~ ANNIHILATION Hinrich Meyer, Fachbereich Physik, Universitдt
- 155 - e+e~ ANNIHILATION Hinrich Meyer, Fachbereich Physik, Universität Wuppertal, Fed. Rep. Germany CONTENT INTRODUCTION 1. e+e~ STORAGE RINGS .1 Energy and Size .2 Luminosity .3 Energy range of one Ring .4 Energie resolution .5 Polarization 2. EXPERIMENTAL PROCEDURES .1 Storage Ring Detectors .2 Background .3 Luminosity Measurement .4 Radiative Corrections 3. QED-REACTIONS + . 1 e+e~ T T~ .2 e+e"+y+y~ . 3 e+e~ -»• e+e~ . 4 e+e_ •+y y 4. HADRON PRODUCTION IN e+e~ANNTHILATION .1 Total Cross Section .2 Average Event Properties .3 Two Jet Structure .4 Three Jet Structure .5 Gluon Properties - 156 - 5. SEARCH FOR NEW PARTICLES .1 Experimental Methods .2 Search for the sixth Flavor (t) .3 Properties of Q Q Resonances .4 New Leptons 6. YY ~ REACTIONS .1 General Properties .2 Resonance Production .3 £ for e,Y Scattering .4 Hard Scattering Processes .5 Photon Structure Function INTRODUCTION e+e storage rings have been proven to be an extremely fruitful techno• logical invention for particle physics. They were originally designed to provide stringent experimental tests of the theory of leptons and photons QED (Quantum-Electro-Dynamics). QED has passed these tests beautifully up to the highest energies (PETRA) so far achieved. The great successes of the e+e storage rings however are in the field of strong interaction physics. The list below gives a very brief overview of the historical development by quoting the highlights of physics results from e+e storage rings with the completion of storage rings of higher and higher energy (see Fig.1). YEAR -
Model of N¯ Annihilation in Experimental Searches for N¯ Transformations
PHYSICAL REVIEW D 99, 035002 (2019) Model of n¯ annihilation in experimental searches for n¯ transformations E. S. Golubeva,1 J. L. Barrow,2 and C. G. Ladd2 1Institute for Nuclear Research, Russian Academy of Sciences, Prospekt 60-letiya Oktyabrya 7a, Moscow, 117312, Russia 2University of Tennessee, Department of Physics, 401 Nielsen Physics Building, 1408 Circle Drive, Knoxville, Tennessee 37996, USA (Received 24 July 2018; published 5 February 2019) Searches for baryon number violation, including searches for proton decay and neutron-antineutron transformation (n → n¯), are expected to play an important role in the evolution of our understanding of beyond standard model physics. The n → n¯ is a key prediction of certain popular theories of baryogenesis, and experiments such as the Deep Underground Neutrino Experiment and the European Spallation Source plan to search for this process with bound- and free-neutron systems. Accurate simulation of this process in Monte Carlo will be important for the proper reconstruction and separation of these rare events from background. This article presents developments towards accurate simulation of the annihilation process for 12 use in a cold, free neutron beam for n → n¯ searches from nC¯ annihilation, as 6 C is the target of choice for the European Spallation Source’s NNBar Collaboration. Initial efforts are also made in this paper to 40 perform analogous studies for intranuclear transformation searches in 18Ar nuclei. DOI: 10.1103/PhysRevD.99.035002 I. INTRODUCTION evacuated, magnetically shielded pipe of 76 m in length (corresponding to a flight time of ∼0.1 s), until being A. Background 12 allowed to hit a target of carbon (6 C) foil (with a thickness As early as 1967, A.