Pulse-Shape Discrimination and Energy Resolution of a Liquid-Argon Scintillator with Xenon Doping
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Lecture 32 Relevant Sections in Text: §3.7, 3.9 Total Angular Momentum
Physics 6210/Spring 2008/Lecture 32 Lecture 32 Relevant sections in text: x3.7, 3.9 Total Angular Momentum Eigenvectors How are the total angular momentum eigenvectors related to the original product eigenvectors (eigenvectors of Lz and Sz)? We will sketch the construction and give the results. Keep in mind that the general theory of angular momentum tells us that, for a 1 given l, there are only two values for j, namely, j = l ± 2. Begin with the eigenvectors of total angular momentum with the maximum value of angular momentum: 1 1 1 jj = l; j = ; j = l + ; m = l + i: 1 2 2 2 j 2 Given j1 and j2, there is only one linearly independent eigenvector which has the appro- priate eigenvalue for Jz, namely 1 1 jj = l; j = ; m = l; m = i; 1 2 2 1 2 2 so we have 1 1 1 1 1 jj = l; j = ; j = l + ; m = l + i = jj = l; j = ; m = l; m = i: 1 2 2 2 2 1 2 2 1 2 2 To get the eigenvectors with lower eigenvalues of Jz we can apply the ladder operator J− = L− + S− to this ket and normalize it. In this way we get expressions for all the kets 1 1 1 1 1 jj = l; j = 1=2; j = l + ; m i; m = −l − ; −l + ; : : : ; l − ; l + : 1 2 2 j j 2 2 2 2 The details can be found in the text. 1 1 Next, we consider j = l − 2 for which the maximum mj value is mj = l − 2. -
ZEPLIN I—The UKDM Single Phase Xenon Experiment at Boulby Neil Spooner∗ Department of Physics and Astronomy University of Sheffield, Hounsfield Road, Sheffield, S3 7RH, UK
ZEPLIN I—The UKDM Single Phase Xenon Experiment at Boulby Neil Spooner∗ Department of Physics and Astronomy University of Sheffield, Hounsfield Road, Sheffield, S3 7RH, UK I briefly review the ZEPLIN I liquid xenon detector of the UKDM collaboration. 1. ZEPLIN I Detector The ZEPLIN I detector is a single phase, 3.6 kg fiducial mass, liquid xenon scintillation detector built by the UKDM Collaboration (RAL-Sheffield-ICSTM) and running at the Boulby underground site (see Figure 1). The target mass is housed in a Cu-101 copper vessel, shaped to maximise light collection, which provides a uniform temperature environment through the use of a cryo- liquid jacket. The fiducial volume of xenon is surrounded bya5mmPTFE reflector, giving diffuse scattering of the 175 nm scintillation photons to maximise light collection. This volume is viewed through 3 mm silica windows by three quartz windowed photomultipliers through optically isolated Œturrets¹ of liquid xenon. These act both as light guides and passive shielding for the X-ray emission from the photomultipliers. The novel use of the xenon turrets arose from experience with NaI detectors where solid high-grade silica is used for light guides and shields. However, the extensive use of such material for liquid xenon is precluded due to the absorption of the 175 nm photons. Scintillation light produced in the turret regions is seen predominantly by the nearest photomultiplier which allows the rejection of the photomultiplier X-ray events and the definition of a fiducial volume through a comparison of the light seen by each tube. Purification of the xenon is performed using Oxysorb ion exchange columns with additional purification by vacuum pumping on frozen xenon and subsequent fractionation of the xenon gas. -
Singlet NMR Methodology in Two-Spin-1/2 Systems
Singlet NMR Methodology in Two-Spin-1/2 Systems Giuseppe Pileio School of Chemistry, University of Southampton, SO17 1BJ, UK The author dedicates this work to Prof. Malcolm H. Levitt on the occasion of his 60th birthaday Abstract This paper discusses methodology developed over the past 12 years in order to access and manipulate singlet order in systems comprising two coupled spin- 1/2 nuclei in liquid-state nuclear magnetic resonance. Pulse sequences that are valid for different regimes are discussed, and fully analytical proofs are given using different spin dynamics techniques that include product operator methods, the single transition operator formalism, and average Hamiltonian theory. Methods used to filter singlet order from byproducts of pulse sequences are also listed and discussed analytically. The theoretical maximum amplitudes of the transformations achieved by these techniques are reported, together with the results of numerical simulations performed using custom-built simulation code. Keywords: Singlet States, Singlet Order, Field-Cycling, Singlet-Locking, M2S, SLIC, Singlet Order filtration Contents 1 Introduction 2 2 Nuclear Singlet States and Singlet Order 4 2.1 The spin Hamiltonian and its eigenstates . 4 2.2 Population operators and spin order . 6 2.3 Maximum transformation amplitude . 7 2.4 Spin Hamiltonian in single transition operator formalism . 8 2.5 Relaxation properties of singlet order . 9 2.5.1 Coherent dynamics . 9 2.5.2 Incoherent dynamics . 9 2.5.3 Central relaxation property of singlet order . 10 2.6 Singlet order and magnetic equivalence . 11 3 Methods for manipulating singlet order in spin-1/2 pairs 13 3.1 Field Cycling . -
Muon Decay 1
Muon Decay 1 LIFETIME OF THE MUON Introduction Muons are unstable particles; otherwise, they are rather like electrons but with much higher masses, approximately 105 MeV. Radioactive nuclear decays do not release enough energy to produce them; however, they are readily available in the laboratory as the dominant component of the cosmic ray flux at the earth’s surface. There are two types of muons, with opposite charge, and they decay into electrons or positrons and two neutrinos according to the rules + + µ → e νe ν¯µ − − µ → e ν¯e νµ . The muon decay is a radioactiveprocess which follows the usual exponential law for the probability of survival for a given time t. Be sure that you understand the basis for this law. The goal of the experiment is to measure the muon lifetime which is roughly 2 µs. With care you can make the measurement with an accuracy of a few percent or better. In order to achieve this goal in a conceptually simple way, we look only at those muons that happen to come to rest inside our detector. That is, we first capture a muon and then measure the elapsed time until it decays. Muons are rather penetrating particles, they can easily go through meters of concrete. Nevertheless, a small fraction of the muons will be slowed down and stopped in the detector. As shown in Figure 1, the apparatus consists of two types of detectors. There is a tank filled with liquid scintillator (a big metal box) viewed by two photomultiplier tubes (Left and Right) and two plastic scintillation counters (flat panels wrapped in black tape), each viewed by a photomul- tiplier tube (Top and Bottom). -
The Statistical Interpretation of Entangled States B
The Statistical Interpretation of Entangled States B. C. Sanctuary Department of Chemistry, McGill University 801 Sherbrooke Street W Montreal, PQ, H3A 2K6, Canada Abstract Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with an arbitrary axis of quantization. This axis acts as a quantum mechanical hidden variable. If the spins lose coherence they disentangle into a mixed state. Whether or not the EPR spin pairs retain entanglement or disentangle, however, the statistical ensemble interpretation resolves the EPR paradox and gives a mechanism for quantum “teleportation” without the need for instantaneous action-at-a-distance. Keywords: Statistical ensemble, entanglement, disentanglement, quantum correlations, EPR paradox, Bell’s inequalities, quantum non-locality and locality, coincidence detection 1. Introduction The fundamental questions of quantum mechanics (QM) are rooted in the philosophical interpretation of the wave function1. At the time these were first debated, covering the fifty or so years following the formulation of QM, the arguments were based primarily on gedanken experiments2. Today the situation has changed with numerous experiments now possible that can guide us in our search for the true nature of the microscopic world, and how The Infamous Boundary3 to the macroscopic world is breached. The current view is based upon pivotal experiments, performed by Aspect4 showing that quantum mechanics is correct and Bell’s inequalities5 are violated. From this the non-local nature of QM became firmly entrenched in physics leading to other experiments, notably those demonstrating that non-locally is fundamental to quantum “teleportation”. -
1. Gamma-Ray Detectors for Nondestructive Analysis P
1. GAMMA-RAY DETECTORS FOR NONDESTRUCTIVE ANALYSIS P. A. Russo and D. T. Vo I. INTRODUCTION AND OVERVIEW Gamma rays are used for nondestructive quantitative analysis of nuclear material. Knowledge of both the energy of the gamma ray and its rate of emission from the unknown mass of nuclear material is required to interpret most measurements of nuclear material quantities. Therefore, detection of gamma rays for nondestructive analysis of nuclear materials requires both spectroscopy capability and knowledge of absolute specific detector response. Some techniques nondestructively quantify attributes other than nuclear material mass, but all rely on the ability to distinguish elements or isotopes and measure the relative or absolute yields of their corresponding radiation signatures. All require spectroscopy and most require high resolution. Therefore, detection of gamma rays for quantitative nondestructive analysis (NDA) of the mass or of other attributes of nuclear materials requires spectroscopy. A previous book on gamma-ray detectors for NDA1 provided generic descriptions of three detector categories: inorganic scintillation detectors, semiconductor detectors, and gas-filled detectors. This report described relevant detector properties, corresponding spectral characteristics, and guidelines for choosing detectors for NDA. The current report focuses on significant new advances in detector technology in these categories. Emphasis here is given to those detectors that have been developed at least to the stage of commercial prototypes. The type of NDA application – fixed installation in a count room, portable measurements, or fixed installation in a processing line or other active facility (storage, shipping/receiving, etc.) – influences the choice of an appropriate detector. Some prototype gamma-ray detection techniques applied to new NDA approaches may revolutionize how nuclear materials are quantified in the future. -
Scintillation Detectors for X-Rays
INSTITUTE OF PHYSICS PUBLISHING MEASUREMENT SCIENCE AND TECHNOLOGY Meas. Sci. Technol. 17 (2006) R37–R54 doi:10.1088/0957-0233/17/4/R01 REVIEW ARTICLE Scintillation detectors for x-rays Martin Nikl Institute of Physics, Academy of Sciences of the Czech Republic, Cukrovarnicka 10, 162 53 Prague, Czech Republic Received 23 March 2005 Published 10 February 2006 Online at stacks.iop.org/MST/17/R37 Abstract Recent research in the field of phosphor and scintillator materials and related detectors is reviewed. After a historical introduction the fundamental issues are explained regarding the interaction of x-ray radiation with a solid state. Crucial parameters and characteristics important for the performance of these materials in applications, including the employed measurement methods, are described. Extended description of the materials currently in use or under intense study is given. Scintillation detector configurations are further briefly overviewed and selected applications are mentioned in more detail to provide an illustration. Keywords: luminescence intensity, luminescence kinetics, light detection, x-ray detection, scintillators, phosphors, traps and material imperfections (Some figures in this article are in colour only in the electronic version) 1. Introduction development of phosphor and scintillator materials to be used in their exploitation. It was 110 years ago in November 1895 that Wilhelm Conrad It is to be noticed that for registration of x-ray the so- Roentgen noticed the glow of a barium platino-cyanide screen, called direct registration principle is widely used, in which the placed next to his operating discharge tube, and discovered new incoming radiation is directly converted into electrical current invisible and penetrating radiation [1], which was named x-ray in a semiconducting material. -
Quantum Mechanics
Quantum Mechanics Richard Fitzpatrick Professor of Physics The University of Texas at Austin Contents 1 Introduction 5 1.1 Intendedaudience................................ 5 1.2 MajorSources .................................. 5 1.3 AimofCourse .................................. 6 1.4 OutlineofCourse ................................ 6 2 Probability Theory 7 2.1 Introduction ................................... 7 2.2 WhatisProbability?.............................. 7 2.3 CombiningProbabilities. ... 7 2.4 Mean,Variance,andStandardDeviation . ..... 9 2.5 ContinuousProbabilityDistributions. ........ 11 3 Wave-Particle Duality 13 3.1 Introduction ................................... 13 3.2 Wavefunctions.................................. 13 3.3 PlaneWaves ................................... 14 3.4 RepresentationofWavesviaComplexFunctions . ....... 15 3.5 ClassicalLightWaves ............................. 18 3.6 PhotoelectricEffect ............................. 19 3.7 QuantumTheoryofLight. .. .. .. .. .. .. .. .. .. .. .. .. .. 21 3.8 ClassicalInterferenceofLightWaves . ...... 21 3.9 QuantumInterferenceofLight . 22 3.10 ClassicalParticles . .. .. .. .. .. .. .. .. .. .. .. .. .. .. 25 3.11 QuantumParticles............................... 25 3.12 WavePackets .................................. 26 2 QUANTUM MECHANICS 3.13 EvolutionofWavePackets . 29 3.14 Heisenberg’sUncertaintyPrinciple . ........ 32 3.15 Schr¨odinger’sEquation . 35 3.16 CollapseoftheWaveFunction . 36 4 Fundamentals of Quantum Mechanics 39 4.1 Introduction .................................. -
On Relational Quantum Mechanics Oscar Acosta University of Texas at El Paso, [email protected]
University of Texas at El Paso DigitalCommons@UTEP Open Access Theses & Dissertations 2010-01-01 On Relational Quantum Mechanics Oscar Acosta University of Texas at El Paso, [email protected] Follow this and additional works at: https://digitalcommons.utep.edu/open_etd Part of the Philosophy of Science Commons, and the Quantum Physics Commons Recommended Citation Acosta, Oscar, "On Relational Quantum Mechanics" (2010). Open Access Theses & Dissertations. 2621. https://digitalcommons.utep.edu/open_etd/2621 This is brought to you for free and open access by DigitalCommons@UTEP. It has been accepted for inclusion in Open Access Theses & Dissertations by an authorized administrator of DigitalCommons@UTEP. For more information, please contact [email protected]. ON RELATIONAL QUANTUM MECHANICS OSCAR ACOSTA Department of Philosophy Approved: ____________________ Juan Ferret, Ph.D., Chair ____________________ Vladik Kreinovich, Ph.D. ___________________ John McClure, Ph.D. _________________________ Patricia D. Witherspoon Ph. D Dean of the Graduate School Copyright © by Oscar Acosta 2010 ON RELATIONAL QUANTUM MECHANICS by Oscar Acosta THESIS Presented to the Faculty of the Graduate School of The University of Texas at El Paso in Partial Fulfillment of the Requirements for the Degree of MASTER OF ARTS Department of Philosophy THE UNIVERSITY OF TEXAS AT EL PASO MAY 2010 Acknowledgments I would like to express my deep felt gratitude to my advisor and mentor Dr. Ferret for his never-ending patience, his constant motivation and for not giving up on me. I would also like to thank him for introducing me to the subject of philosophy of science and hiring me as his teaching assistant. -
Deuterium Isotope Effect in the Radiative Triplet Decay of Heavy Atom Substituted Aromatic Molecules
Deuterium Isotope Effect in the Radiative Triplet Decay of Heavy Atom Substituted Aromatic Molecules J. Friedrich, J. Vogel, W. Windhager, and F. Dörr Institut für Physikalische und Theoretische Chemie der Technischen Universität München, D-8000 München 2, Germany (Z. Naturforsch. 31a, 61-70 [1976] ; received December 6, 1975) We studied the effect of deuteration on the radiative decay of the triplet sublevels of naph- thalene and some halogenated derivatives. We found that the influence of deuteration is much more pronounced in the heavy atom substituted than in the parent hydrocarbons. The strongest change upon deuteration is in the radiative decay of the out-of-plane polarized spin state Tx. These findings are consistently related to a second order Herzberg-Teller (HT) spin-orbit coupling. Though we found only a small influence of deuteration on the total radiative rate in naphthalene, a signi- ficantly larger effect is observed in the rate of the 00-transition of the phosphorescence. This result is discussed in terms of a change of the overlap integral of the vibrational groundstates of Tx and S0 upon deuteration. I. Introduction presence of a halogene tends to destroy the selective spin-orbit coupling of the individual triplet sub- Deuterium (d) substitution has proved to be a levels, which is originally present in the parent powerful tool in the investigation of the decay hydrocarbon. If the interpretation via higher order mechanisms of excited states The change in life- HT-coupling is correct, then a heavy atom must time on deuteration provides information on the have a great influence on the radiative d-isotope electronic relaxation processes in large molecules. -
Relativistic Quantum Mechanics 1
Relativistic Quantum Mechanics 1 The aim of this chapter is to introduce a relativistic formalism which can be used to describe particles and their interactions. The emphasis 1.1 SpecialRelativity 1 is given to those elements of the formalism which can be carried on 1.2 One-particle states 7 to Relativistic Quantum Fields (RQF), which underpins the theoretical 1.3 The Klein–Gordon equation 9 framework of high energy particle physics. We begin with a brief summary of special relativity, concentrating on 1.4 The Diracequation 14 4-vectors and spinors. One-particle states and their Lorentz transforma- 1.5 Gaugesymmetry 30 tions follow, leading to the Klein–Gordon and the Dirac equations for Chaptersummary 36 probability amplitudes; i.e. Relativistic Quantum Mechanics (RQM). Readers who want to get to RQM quickly, without studying its foun- dation in special relativity can skip the first sections and start reading from the section 1.3. Intrinsic problems of RQM are discussed and a region of applicability of RQM is defined. Free particle wave functions are constructed and particle interactions are described using their probability currents. A gauge symmetry is introduced to derive a particle interaction with a classical gauge field. 1.1 Special Relativity Einstein’s special relativity is a necessary and fundamental part of any Albert Einstein 1879 - 1955 formalism of particle physics. We begin with its brief summary. For a full account, refer to specialized books, for example (1) or (2). The- ory oriented students with good mathematical background might want to consult books on groups and their representations, for example (3), followed by introductory books on RQM/RQF, for example (4). -
Neutrino Detection with Liquid Scintillator Detectors
Neutrino Detection with Liquid Scintillator Detectors Minfang Yeh Neutrino and Nuclear Chemistry Chemistry/Instrumentation BNL VIRTUAL SYMPOSIUM FOR ETI/MTV CONSORTIA, 2021 Neutrino and Nuclear Chemistry at BNL since 1960+ 37 37 - HOMESTAKE 615t Cl + νe → Ar + e 71 71 - Gallex 30-t Ga + νe → Ge + e 780t D2O CC/NC SNO 200-kt H2O or 37-kt LAr LBNE (DUNE) 120-t 8% In-LS LENS 200-t 0.1% Gd-LS Daya Bay 780t 0.3% Nd/Te-LS SNO+ 6Li, 10B or Gd doped LS PROSPECT/LZ Metal-doped WbLS and 0νββ, dark-matter, AIT- plastic scintillator resins NEO, medical Water-based LS Scintillator Radiochemical Cerenkov 1960 1970 1980 1990 2000 2010 2020 M Yeh, BNL VIRTUAL SYMPOSIUM 2 LZ (Gd-doped) Dark Matter BNL-ν-Map SD, USA by liquid scintillator detectors AIT-NEO (WbLS) Boulby, UK JSNS2 (Gd-doped) SNO+ (Te-doped) Kamioka, Japan ANNIE Sudbury Canada (WbLS) BNL FNAL Daya Bay (Gd- doped), China PROSPECT (6Li-doped ), ORNL, TN, USA Cover a wide range of physics topics! neutrinos, dark matter, 0νββ, nonproliferation, medical physics,… M Yeh, BNL VIRTUAL SYMPOSIUM 3 Scintillation Mechanism S. Hans, J. Cumming, R. Rosero, S. Gokhale, R. Diaz, C. Camilo, M. Yeh, Light-yield quenching and remediation in liquid scintillator detectors, 2020 JINST 15 P12020 fast slow Stokes shift, photon-yield, timing structure, and C/H density determine the detector responses M Yeh, BNL VIRTUAL SYMPOSIUM 4 Scintillator Components C. Buck and M. Yeh, J. Phys. G: Nucl. Part. Phys. 43 093001 (2016) 200tons of Daya Bay Gd-LS produced in 2010; stable since production.