Parity Violation in Diatomic Molecules
|
|
- Corey Bruce
- 5 years ago
- Views:
Transcription
1 Parity Violation in Diatomic Molecules Jeff Ammon, E. Altuntas, S.B. Cahn, R. Paolino*, D. DeMille Physics Department, Yale University *Physics Department, US Coast Guard Academy DeMille Group Funding: NSF
2 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
3 Parity Violation Nuclear Spin Independent (NSI) Every nucleon contributes H NSI 3 ( σ p) δ ( r ) Best measurement: Wieman 133 Cs Nuclear Spin Dependent (NSD) Only unpaired nucleons contribute 3 H ( σ I )( σ p) δ r NSD NSD PV smaller, more difficult to measure. ( ) σ : electron spin p : electron mom. I : nuclear spin r : electron pos. Uncertainties: NSI 1% NSD 14% Also: 133 Cs is the only nonzero measurement of NSD in atoms Using diatomic molecules enhances NSD
4 H NSD NSD PV Effects ( κ + κ )(σ I )(σ Z a 3 p)δ ( r ) e V e + A e e H NSD = Z 0 + γ N V N + A N Z 0 exchange Independent of nuclear mass A Z 0, W N Anapole Moment Proportional to A 2/3 Can differentiate effects by measuring multiple nuclear species
5 Anapole Moment Simple model for nuclear anapole (valence nucleon + constant-density core): Current loop (dipole) orbital = + momentum around core Current helix (anapole) spin tilted along momentum due to weak interaction ( σ p helicity term) Causes delta function vector potential at origin
6 Motivation Z 0 Exchange Electron nucleon weak coupling constants (C 2N, C 2P ) Related to fundamental electron-quark weak coupling constants (C 2u, C 2d ) Complementary to PVDIS measurements (different linear combinations of C 2 constants) Anapole Moment Nucleon nucleon coupling constants Nuclear structure Anapole Moment Table - unique signatures for each nuclear species Measurement of parity violation in electron-quark scattering The Jefferson Lab PVDIS Collaboration Nature 506, 67-70
7 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
8 Even / Odd State Mixing Pˆ Pˆ + = + = Atomic, molecular states are parity eigenstates δ Weak interaction mixes even & odd states δ = + E + H W E = iw Δ ~ 10Hz ~ Hz δ is very small 1eV
9 Diatomic Molecules Amplify mixing by making small: iw δ = Δ + Δ Diatomic molecules: Large moment of inertia rotational levels have small 2 + I E rot MR 2 2 J = 2 I Energy ~10-5 ev Parity: (-1) J (vs. ~1eV for atoms)
10 Zeeman Tuning Closely spaced levels can be brought to crossing with B-field B-field required: ~ 1 Tesla easy with superconducting magnet Energy How close? 1 part in 10 7 uniformity ~ 10 3 Hz (vs Hz for atoms) + 1 T B Field
11 Viable Nuclei For Anapole Measurement Everything OK (one dot/isotope) Only molecular spectral data needed Only isotopically enriched sample needed Maybe possible with cryogenic beam source
12 Chosen Molecule: 137 BaF Why 137 BaF? Odd neutron ( 133 Cs had odd proton) Heavy larger anapole moment Spectroscopy available BaF molecular beams had been made before Large enough natural abundance don t need enriched source Transitions are diode laser accessible Development & testing: 138 BaF W = 0 (no parity violation) Larger natural abundance (~75% vs ~11% for 137 Ba) Can use same source as 137 Ba
13 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
14 Experimental Schematic Superconducting solenoid (1) B E 0 z axis (2) (3) (4) (1) (2) (3) (4) + Laser E 0 Laser
15 Signal Applied E field: E ( t) = E0 sin(ωt) N 0 : # of molecules in lower state : Detuning d: dipole matrix element W: weak matrix element S( E 0 ) π Δ ω de0 W de0 W = 4N 0 sin ω Δ ω Δ Signal: population of upper (detection) state at end Stark Interference term: without this, dependence on W would be second order Second order. Very small. Ignore.
16 Asymmetry + = ω Δ 2 ω ω Δ π sin 4 ) ( de W de N E S ω Δ ) ( ) ( ) ( ) ( de W E S E S E S E S A = = 1) Measure Signal for +E 0 and E 0 2) Form Asymmetry: 3) Solve for W in terms of known quantities.
17 Example Signal & Asymmetry Signal Asymmetry Calculated by numerically solving Schrodinger eqn. Assumes W = 5Hz
18 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
19 Multiple Crossings Energy + Multiple crossings because of hyperfine structure 1 T B Field Matrix element W is different at each crossing Underlying PV magnitudes (κ Z & κ a ) are same at all crossings Measure at different crossings as systematic check
20 Level Crossing Spectroscopy in 138 BaF m, m, m S I N S: Electron spin I: Nuclear spin N: Molecule rotational ang. mom. ˆn : molecule internuclear axis W (κ + κ )( nˆ S ) Z a PV magnitudes. Same at all crossings I Angular factor. Different for each crossing. Want to measure PV at multiple crossings as systematic check Need to find B field values where levels cross
21 Finding Crossing Locations Increasing B Field Δ + E-field applied Maximum signal occurs when B-field is set such that =0
22 Spectroscopy Results Zeeman-tuned rotational level-crossing spectroscopy in a diatomic free radical S.B. Cahn et. al. arxiv: Also measured: Soon to be in PRL Dipole matrix elements (d) Polarizabilities (α) Lineshapes
23 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
24 New Interaction Region Prisms allow laser delivery for state preparation Old interaction regions: 2 electrodes, 7 electrodes New interaction region: 32 electrodes better control over E field one cycle sine wave for PV measurement
25 First PV Data with 138 BaF 138 Ba Expected: W = 0 Measured: W = Hz (stat) ~2.5 hours of data Previous best sensitivity: 2.9 Hz in 30 hours with atomic Dy* Measured W due to systematic effects *Nguyen, Budker, DeMille, & Zolotorev, PRA 56, 3453 (1997)
26 Evidence of Systematics Data Numerical Calculation Non-reversing E field (E NR ) even part of Asymmetry (e.g. vertical offset) E NR + B gradients (B grad ) odd part of Asymmetry (looks like parity violation!) Need to measure & then eliminate E NR & B grad
27 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
28 B field Measurement w/ Molecule Signal Want to flatten B field so that it is uniform Must measure B field first B(z) E(z) z B field only matters where E is non-zero z Measure B(z) by translating E pulse across z and recording Signal
29 B field Measurement w/ Molecule Signal E(z) Signal z1 z2 z3 z B1 B2 B3 B Apply E-field Find signal maximum ( i.e. = 0 ) B(z) B3 B2 B1 z1 z2 z3 z Repeat across interaction region to get B(z)
30 B field Shimming B field measured (a) Shim coils adjusted to flatten field B field measured again (b)
31 E Field Measurement w/ Molecule Signal c E E( t) ( Δ) e iδt dt 1 st order perturbation theory ( F.T. of E(t) ) E NR (t) E R (t) E R (t+τ) t ( Δ) (Δ R ) c E NR + E τ c E + NR iδτ ( Δ) e E (Δ) R shifted E R S E NR 2 2 ( ) + E ( ) + E ( ) [ Re[ E ( ) ] cos( τ) Im[ E ( ) ] sin( τ) ] R R NR NR Interference term ( + E ) S( E ) E ( ) [ Re[ E ( ) ] cos( τ) Im[ E ( ) ] sin( τ) ] S 2 R Signal Difference R R NR NR
32 E Field Measurement w/ Molecule Signal Set = constant Take data over range of τ (applied E location) 2 fit parameters: ( a, b ) ( + E ) S( E ) E ( ) [ Re[ E ( ) ] cos( τ) Im[ E ( ) ] sin( τ) ] S 2 R R R NR NR Sig. Diff. from data data fit function fit function: a * cos( τ) + b * sin ( τ) Repeat at a range of to construct E NR ( ) τ Fourier transform to get E NR (t)
33 E NR (t) Measurement Example Interference Term Fit Repeat over range of E NR ( ) E NR (t) Fourier Transform
34 E NR (t) Shimming Results Before Shimming After 1 Shim Iteration After 2 Shim Iterations Shimming = Applying voltages to counteract E NR
35 Outline 1. Introduction: Parity violating effects, motivation 2. Why Diatomic Molecules? 3. The Experiment: Schematic, signal 4. Level Crossing Spectroscopy in 138 BaF 5. First PV Data with 138 BaF: Evidence of systematics 6. E & B Field Systematics: How to measure & eliminate 7. New Data 8. Future Work
36 Recent Data Measured: W = Hz (stat) Why do systematics remain? Part of E NR lies outside interaction region can t be shimmed out Numerical calculations: This E NR plus reasonable B grad still gives large W
37 Longer E-field Region Plan: Lengthen electrodes can shim E fields and measure B fields further out
38 Future Work Make new interaction region with longer electrodes Shim out E NR and B grad Measure PV in 138 BaF (Should be zero) Improvements in signal (hexapole lens, cryogenic source) Measure PV in 137 BaF (Expected W ~5Hz)
Atomic Parity Violation in Ytterbium
Atomic Parity Violation in Ytterbium K. Tsigutkin, D. Dounas-Frazer, A. Family, and D. Budker http://budker.berkeley.edu Atomic PV: important landmarks! 1959 Ya. B. Zel dovich: APV (Neutr. Current) Opt.
More informationParity Nonconservation in Atoms: The Weak Charge and Anapole Moment of 133 Cs
Parity Nonconservation in Atoms: The Weak Charge and Anapole Moment of 133 Cs Walter Johnson University of Notre Dame 1) Weak charge Q W of 133 Cs provides a test of the Standard Electroweak Model. 2)
More informationProspects for Atomic Parity Violation Experiments
Prospects for Atomic Parity Violation Experiments Konstantin Tsigutkin and Dima Budker http://socrates.berkeley.edu/~budker socrates.berkeley.edu/~budker/ Outline A brief story of parity violation in atoms
More informationProposed experiment for the anapole measurement in francium. Luis A. Orozco Joint Quantum Institute University of Maryland
Proposed experiment for the anapole measurement in francium Luis A. Orozco Joint Quantum Institute University of Maryland FrPNC collaboration: S. Aubin, J. A. Behr, V. Flambaum, E. Gomez, G. Gwinner, K.
More informationTowards a Precise Measurement of Atomic Parity Violation in a Single Ra + Ion
Towards a Precise Measurement of Atomic Parity Violation in a Single + Ion TRIµP Program Trapped dioactive Isotopes: µ-laboratories for fundamental Physics Kernfysisch Versneller Instituut (KVI) University
More informationNuclear structure and the anapole moment in francium; experiments and proposals. Luis A. Orozco UMD
Nuclear structure and the anapole moment in francium; experiments and proposals. Luis A. Orozco UMD Work done in collaboration with Prof. Gene Sprouse from SUNYSB And Prof. David DeMille from Yale University.
More informationSearch for a Permanent Electric Dipole Moment of 199 Hg
Search for a Permanent Electric Dipole Moment of 199 Hg NIST, Boulder: University of Washington: Princeton University: W. Clark Griffith M. David Swallows David Meyer Blayne Heckel E. Norval Fortson Michael
More informationAtomic magnetometers: new twists to the old story. Michael Romalis Princeton University
Atomic magnetometers: new twists to the old story Michael Romalis Princeton University Outline K magnetometer Elimination of spin-exchange relaxation Experimental setup Magnetometer performance Theoretical
More informationStatus of the PREX Experiment R n through PVeS at JLab
Status of the PREX Experiment R n through PVeS at JLab Seamus Riordan University of Massachusetts, Amherst sriordan@physics.umass.edu for the PREX Collaboration June 18, 2011 Seamus Riordan NuSym11 PREX
More informationPhysics 129, Fall 2010; Prof. D. Budker
Physics 129, Fall 2010; Prof. D. Budker Intrinsic parity of particles A brief history of parity: Concept found (no parity in everyday life): O. Laporte, 1924 Concept understood: Wigner, 1927 Concept becomes
More informationSidney B. Cahn Yale University
Sidney B. Cahn Yale University Первое сообщение о прогрессе в фтористый барий в Ельском опыте Второе будет о возможных систематических действиях в ловушках с использованием низкотемпературного масла (фомблин)
More informationProbing P & T-violation Beyond the Standard Model. Aaron E. Leanhardt
An Electron EDM Search in HfF + : Probing P & T-violation Beyond the Standard Model Aaron E. Leanhardt Experiment: Laura Sinclair, Russell Stutz & Eric Cornell Theory: Ed Meyer & John Bohn JILA, NIST,
More informationUpdate on Experiments using SoLID Spectrometer
Update on Experiments using SoLID Spectrometer Yi Qiang for SoLID Collaboration Hall A Collaboration Meeting Dec 16, 2011 Overview SoLID: Solenoidal Large Intensity Device High rate capability: allow for
More informationNuclear Magnetic Resonance Spectroscopy
Nuclear Magnetic Resonance Spectroscopy Ecole Polytechnique Département de Chimie CHI 551 Dr. Grégory Nocton Bureau 01 30 11 A Tel: 44 02 Ecole polytechnique / CNRS Laboratoire de Chimie Moléculaire E-mail:
More informationATOMIC PARITY VIOLATION
ATOMIC PARITY VIOLATION OUTLINE Overview of the Atomic Parity Violation Theory: How to calculate APV amplitude? Analysis of Cs experiment and implications for search for physics beyond the Standard Model
More informationProperties of Elementary Particles
and of Elementary s 01/11/2018 My Office Hours: Thursday 1:00-3:00 PM 212 Keen Building Outline 1 2 3 Consider the world at different scales... Cosmology - only gravity matters XXXXX Input: Mass distributions
More informationSpin resonance. Basic idea. PSC 3151, (301)
Spin Resonance Phys623 Spring 2018 Prof. Ted Jacobson PSC 3151, (301)405-6020 jacobson@physics.umd.edu Spin resonance Spin resonance refers to the enhancement of a spin flipping probability in a magnetic
More informationAtomic Parity Non-Conservation in Francium: The FrPNC Experiment
IL NUOVO CIMENTO Vol.?, N.?? Atomic Parity Non-Conservation in Francium: The FrPNC Experiment at TRIUMF S. Aubin( 1 ), E. Gomez( 2 ), J. A. Behr( 3 ), M. R. Pearson( 3 ), D. Sheng( 4 ), J. Zhang( 4 ),
More informationProgress tow ards a m easurem ent o f nuclear-spin-dependent parity violation in diatom ic m olecules
A bstract Progress tow ards a m easurem ent o f nuclear-spin-dependent parity violation in diatom ic m olecules Jeffrey Louis Ammon 2015 Nuclear-spin-dependent parity violation (NSD-PV) effects arise from
More informationNuclear spin maser with a novel masing mechanism and its application to the search for an atomic EDM in 129 Xe
Nuclear spin maser with a novel masing mechanism and its application to the search for an atomic EDM in 129 Xe A. Yoshimi RIKEN K. Asahi, S. Emori, M. Tsukui, RIKEN, Tokyo Institute of Technology Nuclear
More informationEffective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University!
Effective Field Theory for Nuclear Physics! Akshay Vaghani! Mississippi State University! Overview! Introduction! Basic ideas of EFT! Basic Examples of EFT! Algorithm of EFT! Review NN scattering! NN scattering
More informationChapter 7. Nuclear Magnetic Resonance Spectroscopy
Chapter 7 Nuclear Magnetic Resonance Spectroscopy I. Introduction 1924, W. Pauli proposed that certain atomic nuclei have spin and magnetic moment and exposure to magnetic field would lead to energy level
More informationMeasuring Form Factors and Structure Functions With CLAS
Measuring Form Factors and Structure Functions With CLAS Jerry Gilfoyle for the CLAS Collaboration Physics Department, University of Richmond, Virginia Outline: 1. Jefferson Lab and the CLAS Detector..
More informationA Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance
A Hands on Introduction to NMR 22.920 Lecture #1 Nuclear Spin and Magnetic Resonance Introduction - The aim of this short course is to present a physical picture of the basic principles of Nuclear Magnetic
More informationThe NMR Inverse Imaging Problem
The NMR Inverse Imaging Problem Nuclear Magnetic Resonance Protons and Neutrons have intrinsic angular momentum Atoms with an odd number of proton and/or odd number of neutrons have a net magnetic moment=>
More informationThe Search for the Electron Electric Dipole Moment at JILA
The Search for the Electron Electric Dipole Moment at JILA Laura Sinclair Aaron Leanhardt, Huanqian Loh, Russell Stutz, Eric Cornell Theory Support: Edmund Meyer and John Bohn June 11, 2008 Funding: NSF
More informationSaturation Absorption Spectroscopy of Rubidium Atom
Saturation Absorption Spectroscopy of Rubidium Atom Jayash Panigrahi August 17, 2013 Abstract Saturated absorption spectroscopy has various application in laser cooling which have many relevant uses in
More informationFundamental MRI Principles Module Two
Fundamental MRI Principles Module Two 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons neutrons electrons positively charged no significant charge negatively charged Protons
More informationTune-out wavelength spectroscopy: A new technique to characterize atomic structure. Cass Sackett UVa
Tune-out wavelength spectroscopy: A new technique to characterize atomic structure Cass Sackett UVa Outline Atomic parity violation experiments why they are important but stalled Tune-out spectroscopy
More informationUniversity of Groningen. Radium Ion Spectroscopy Giri, Gouri Shankar
University of Groningen Radium Ion Spectroscopy Giri, Gouri Shankar IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document
More informationEfficient inter-trap transfer of cold francium atoms
Hyperfine Interact (2016) 237:150 DOI 10.1007/s10751-016-1347-9 Efficient inter-trap transfer of cold francium atoms J. Zhang 1 R. Collister 2 K. Shiells 2 M. Tandecki 3 S. Aubin 4 J. A. Behr 3 E. Gomez
More informationDeceleration and trapping of heavy diatomic molecules for precision tests of fundamental symmetries. Steven Hoekstra
Deceleration and trapping of heavy diatomic molecules for precision tests of fundamental symmetries Steven Hoekstra Deceleration and trapping of heavy diatomic molecules for precision tests of fundamental
More informationPHYSICS. Course Syllabus. Section 1: Mathematical Physics. Subject Code: PH. Course Structure. Electromagnetic Theory
PHYSICS Subject Code: PH Course Structure Sections/Units Topics Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Mathematical Physics Classical Mechanics Electromagnetic
More informationTests of Lorentz Invariance with alkalimetal noble-gas co-magnetometer. (+ other application) Michael Romalis Princeton University
Tests of Lorentz Invariance with alkalimetal noble-gas co-magnetometer (+ other application) Michael Romalis Princeton University Tests of Fundamental Symmetries Parity violation weak interactions CP violation
More informationParity Violation Experiments & Beam Requirements
Parity Violation Experiments & Beam Requirements Riad Suleiman Center for Injectors and Sources MCC Ops Training August 05, 2009 Outline Fundamental Interactions and Conservation Rules Parity Reversal
More informationPREX Overview Extracting the Neutron Radius from 208 Pb
PREX Overview Extracting the Neutron Radius from 208 Pb Seamus Riordan University of Massachusetts, Amherst sriordan@physics.umass.edu March 17, 2013 Seamus Riordan CREX 2013 PREX 1/19 Outline Motivation
More informationNMR Dynamics and Relaxation
NMR Dynamics and Relaxation Günter Hempel MLU Halle, Institut für Physik, FG Festkörper-NMR 1 Introduction: Relaxation Two basic magnetic relaxation processes: Longitudinal relaxation: T 1 Relaxation Return
More informationCP-violating magnetic moments of atoms and molecules. $$$ National Science Foundation $$$ NIST Precision Measurement Grant
-violating magnetic moments of atoms and molecules $$$ National Science Foundation $$$ NIST Precision Measurement Grant EDM/V workshop @ INT/U.Washington, Seattle, Mar 22, 2007 1 Collaborators Boris Ravaine
More informationGraduate Written Exam Part I (Fall 2011)
Graduate Written Exam Part I (Fall 2011) 1. An elevator operator in a skyscraper, being a very meticulous person, put a pendulum clock on the wall of the elevator to make sure that he spends exactly 8
More informationI.B. Khriplovich Budker Institute of Nuclear Physics, Novosibirsk, Russia
HISTORY AND PERSPECTIVES OF P AND T VIOLATION IN ATOMS I.B. Khriplovich Budker Institute of Nuclear Physics, Novosibirsk, Russia I. HISTORY Historically, good reasons to start just with /P, /T effects.
More informationFundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons
Fundamental MRI Principles Module 2 N S 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons positively charged neutrons no significant charge electrons negatively charged Protons
More informationPaul Huffman! Investigating Hadronic Parity Violation Using the γd np Reaction at the Proposed HIGS2 facility at TUNL
Investigating Hadronic Parity Violation Using the γd np Reaction at the Proposed HIGS2 facility at TUNL Paul Huffman! North Carolina State University Triangle Universities Nuclear Laboratory!!!! M.W. Ahmed!
More informationQuantum Mechanics FKA081/FIM400 Final Exam 28 October 2015
Quantum Mechanics FKA081/FIM400 Final Exam 28 October 2015 Next review time for the exam: December 2nd between 14:00-16:00 in my room. (This info is also available on the course homepage.) Examinator:
More informationMOLECULAR SPECTROSCOPY
MOLECULAR SPECTROSCOPY First Edition Jeanne L. McHale University of Idaho PRENTICE HALL, Upper Saddle River, New Jersey 07458 CONTENTS PREFACE xiii 1 INTRODUCTION AND REVIEW 1 1.1 Historical Perspective
More informationNMR, the vector model and the relaxation
NMR, the vector model and the relaxation Reading/Books: One and two dimensional NMR spectroscopy, VCH, Friebolin Spin Dynamics, Basics of NMR, Wiley, Levitt Molecular Quantum Mechanics, Oxford Univ. Press,
More informationWhat we know about Francium. University of Science and Technology of China Hefei, China July 2018 Luis A. Orozco
What we know about Francium University of Science and Technology of China Hefei, China July 2018 Luis A. Orozco www.jqi.umd.edu The slides are available at: http://www.physics.umd.edu/rgroups/amo/orozco/results/2018/results18.htm
More information2m 2 Ze2. , where δ. ) 2 l,n is the quantum defect (of order one but larger
PHYS 402, Atomic and Molecular Physics Spring 2017, final exam, solutions 1. Hydrogenic atom energies: Consider a hydrogenic atom or ion with nuclear charge Z and the usual quantum states φ nlm. (a) (2
More informationMagnetic Resonance Spectroscopy EPR and NMR
Magnetic Resonance Spectroscopy EPR and NMR A brief review of the relevant bits of quantum mechanics 1. Electrons have spin, - rotation of the charge about its axis generates a magnetic field at each electron.
More informationPREX and CREX. R N from Electroweak Asymmetry in Elastic Electron-Nucleus Scattering. Neutron Skin.
http://hallaweb.jlab.org/parity/prex PREX and CREX 08 Pb Horowitz 48 Ca Neutron Skin R N from Electroweak Asymmetry in Elastic Electron-Nucleus Scattering R L 4 6 A ~ 10 PV Q ~ 10 R L PRL 108 (01) 1150
More informationLorentz-violating energy shift for hydrogen in the presence of a weak magnetic field
Lorentz-violating energy shift for hydrogen in the presence of a weak magnetic field δε = j A j0 (nfjl) Fm F j0 Fm F Clebsch-Gordan coefficients n principal quantum number n F hydrogen total angular momentum
More information13. Basic Nuclear Properties
13. Basic Nuclear Properties Particle and Nuclear Physics Dr. Tina Potter Dr. Tina Potter 13. Basic Nuclear Properties 1 In this section... Motivation for study The strong nuclear force Stable nuclei Binding
More informationNucleon Spin. Tyler Corbett
Nucleon Spin Tyler Corbett Abstract: In 1988 the European Muon Collaboration showed that the quark contribution to spin only accounts for 20-30 percent of the nucleon spin; The "naive quark parton model
More informationNuclear and Particle Physics
Nuclear and Particle Physics W. S. С Williams Department of Physics, University of Oxford and St Edmund Hall, Oxford CLARENDON PRESS OXFORD 1991 Contents 1 Introduction 1.1 Historical perspective 1 1.2
More informationMuon g 2. Physics 403 Advanced Modern Physics Laboratory Matthias Grosse Perdekamp. Slides adapted from Jörg Pretz RWTH Aachen/ FZ Jülich
Muon g 2 Physics 403 Advanced Modern Physics Laboratory 4-16-2013 Matthias Grosse Perdekamp Slides adapted from Jörg Pretz RWTH Aachen/ FZ Jülich 1 /53 Outline Introduction & Motivation Method Experiment
More information( ) electron gives S = 1/2 and L = l 1
Practice Modern Physics II, W018, Set 1 Question 1 Energy Level Diagram of Boron ion B + For neutral B, Z = 5 (A) Draw the fine-structure diagram of B + that includes all n = 3 states Label the states
More informationCHEM6416 Theory of Molecular Spectroscopy 2013Jan Spectroscopy frequency dependence of the interaction of light with matter
CHEM6416 Theory of Molecular Spectroscopy 2013Jan22 1 1. Spectroscopy frequency dependence of the interaction of light with matter 1.1. Absorption (excitation), emission, diffraction, scattering, refraction
More informationStatus of the Search for an EDM of 225 Ra
Status of the Search for an EDM of 225 Ra I. Ahmad, K. Bailey, J. Guest, R. J. Holt, Z.-T. Lu, T. O Connor, D. H. Potterveld, N. D. Scielzo Roy Holt Lepton Moments 2006 Cape Cod Outline Why is an EDM interesting?
More informationNuclear Anapole Moments and the Parity-nonconserving Nuclear Interaction
Nuclear Anapole Moments and the Parity-nonconserving Nuclear Interaction Cheng-Pang Liu TRIUMF Research Facility, 4004 Wesbrook Mall, Vancouver, BC, Canada V6T 2A3 Abstract. The anapole moment is a parity-odd
More informationQUALIFYING EXAMINATION, Part 1. 2:00 PM 5:00 PM, Thursday September 3, 2009
QUALIFYING EXAMINATION, Part 1 2:00 PM 5:00 PM, Thursday September 3, 2009 Attempt all parts of all four problems. Please begin your answer to each problem on a separate sheet, write your 3 digit code
More informationIsotopic variation of parity violation in atomic ytterbium
Isotopic variation of parity violation in atomic ytterbium D. Antypas 1,*, A. Fabricant 2, J.E. Stalnaker 3, K. Tsigutkin 4,. Flambaum 2,5 and D. Budker 1,2,6 1 Helmholtz-Institut Mainz, Mainz 55128, Germany
More informationPolarizing Helium-3 for down quark spin enrichment. Nigel Buttimore
Polarizing Helium-3 for down quark spin enrichment Nigel Buttimore Trinity College Dublin 12 September 2012 Diffraction 2012 Polarized Helium-3 OUTLINE Introduction to the spin structure of polarized protons
More informationMagnetic Resonance Spectroscopy ( )
Magnetic Resonance Spectroscopy In our discussion of spectroscopy, we have shown that absorption of E.M. radiation occurs on resonance: When the frequency of applied E.M. field matches the energy splitting
More informationAntimagnetic Rotation in Cd isotopes
Proceedings of the DAE Symp. on Nucl. Phys. 56 (2011) 3 Antimagnetic Rotation in Cd isotopes S.Chattopadhyay,* and S. Roy Saha Institute of Nuclear Physics, Kolkata - 700064, INDIA. * email: Sukalyan.chattopadhyay@saha.ac.in
More informationClassical behavior of magnetic dipole vector. P. J. Grandinetti
Classical behavior of magnetic dipole vector Z μ Y X Z μ Y X Quantum behavior of magnetic dipole vector Random sample of spin 1/2 nuclei measure μ z μ z = + γ h/2 group μ z = γ h/2 group Quantum behavior
More informationAn Introduction to Hyperfine Structure and Its G-factor
An Introduction to Hyperfine Structure and Its G-factor Xiqiao Wang East Tennessee State University April 25, 2012 1 1. Introduction In a book chapter entitled Model Calculations of Radiation Induced Damage
More informationDevelopment of a Rogowski coil Beam Position Monitor for Electric Dipole Moment measurements at storage rings
Development of a Rogowski coil Beam Position Monitor for Electric Dipole Moment measurements at storage rings PHD defense talk Physics Institute III B Nuclear Physics Institute (IKP-II) Fabian Trinkel
More informationSupplementary Information
Supplementary Information I. Sample details In the set of experiments described in the main body, we study an InAs/GaAs QDM in which the QDs are separated by 3 nm of GaAs, 3 nm of Al 0.3 Ga 0.7 As, and
More informationPart I. Principles and techniques
Part I Principles and techniques 1 General principles and characteristics of optical magnetometers D. F. Jackson Kimball, E. B. Alexandrov, and D. Budker 1.1 Introduction Optical magnetometry encompasses
More informationSpin Feedback System at COSY
Spin Feedback System at COSY 21.7.2016 Nils Hempelmann Outline Electric Dipole Moments Spin Manipulation Feedback System Validation Using Vertical Spin Build-Up Wien Filter Method 21.7.2016 Nils Hempelmann
More informationNuclear Shell Model. P461 - Nuclei II 1
Nuclear Shell Model Potential between nucleons can be studied by studying bound states (pn, ppn, pnn, ppnn) or by scattering cross sections: np -> np pp -> pp nd -> nd pd -> pd If had potential could solve
More informationNucleon Form Factors Measured with BLAST. John Calarco - University of New Hampshire
Nucleon Form Factors Measured with BLAST John Calarco - University of New Hampshire HUGS June, 2006 Outline - Overview and Motivation - Introduction - Existing Methods & Data - Phenomenological Fits -
More informationSingle Particle and Collective Modes in Nuclei. Lecture Series R. F. Casten WNSL, Yale Sept., 2008
Single Particle and Collective Modes in Nuclei Lecture Series R. F. Casten WNSL, Yale Sept., 2008 TINSTAASQ You disagree? nucleus So, an example of a really really stupid question that leads to a useful
More informationEDM Measurements using Polar Molecules
EDM Measurements using Polar Molecules B. E. Sauer Imperial College London J. J. Hudson, M. R. Tarbutt, Paul Condylis, E. A. Hinds Support from: EPSRC, PPARC, the EU Two motivations to measure EDMs EDM
More informationThe Jefferson Lab 12 GeV Program
The Jefferson Lab 12 GeV Program The Jefferson Lab facilities have undergone a substantial upgrade, both of accelerator, CEBAF, and of the experimental installations. We will discuss the progress to completion
More informationON THE THEORY OF NUCLEAR ANAPOLE MOMENTS. Budker Institute of Nuclear Physics, Novosibirsk, Russia
ON THE THEORY OF NUCLEAR ANAPOLE MOMENTS V.F. Dmitriev 1, and I.B. Khriplovich 2 Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia Abstract We discuss the present state of the theory of nuclear
More informationAtomic Parity Violation
Atomic Parity Violation Junghyun Lee APV proposes new physics beyond the standard model of elementary particles. APV is usually measured through the weak nuclear charge Q w, quantifying the strength of
More informationLecture 19: Building Atoms and Molecules
Lecture 19: Building Atoms and Molecules +e r n = 3 n = 2 n = 1 +e +e r ψ even Lecture 19, p 1 Today Nuclear Magnetic Resonance Using RF photons to drive transitions between nuclear spin orientations in
More informationManifestations of Low-Mass Dark Bosons
Manifestations of Low-Mass Dark Bosons Yevgeny Stadnik Humboldt Fellow Johannes Gutenberg University, Mainz, Germany Collaborators (Theory): Victor Flambaum (UNSW) Collaborators (Experiment): CASPEr collaboration
More informationOPTI 511L Fall Objectives:
RJ Jones OPTI 511L Fall 2017 Optical Sciences Experiment: Saturated Absorption Spectroscopy (2 weeks) In this experiment we explore the use of a single mode tunable external cavity diode laser (ECDL) to
More informationNuclear vibrations and rotations
Nuclear vibrations and rotations Introduction to Nuclear Science Simon Fraser University Spring 2011 NUCS 342 February 2, 2011 NUCS 342 (Lecture 9) February 2, 2011 1 / 29 Outline 1 Significance of collective
More information1. Nuclear Size. A typical atom radius is a few!10 "10 m (Angstroms). The nuclear radius is a few!10 "15 m (Fermi).
1. Nuclear Size We have known since Rutherford s! " scattering work at Manchester in 1907, that almost all the mass of the atom is contained in a very small volume with high electric charge. Nucleus with
More informationMagnetic resonance imaging MRI
Magnetic resonance imaging MRI Introduction What is MRI MRI is an imaging technique used primarily in medical settings that uses a strong magnetic field and radio waves to produce very clear and detailed
More informationINTRODUCTION TO NMR and NMR QIP
Books (NMR): Spin dynamics: basics of nuclear magnetic resonance, M. H. Levitt, Wiley, 2001. The principles of nuclear magnetism, A. Abragam, Oxford, 1961. Principles of magnetic resonance, C. P. Slichter,
More informationMeasurement of Polarization Observables Pz, P s z and P c z in Double-Pion Photoproduction off the Proton
Measurement of Polarization Observables Pz, P s z and P c z in Double-Pion Photoproduction off the Proton Yuqing Mao Ph.D. Defense November 10, 2014 Dept. of Physics and Astronomy, USC Supported in part
More informationMagnetic Resonance Imaging (MRI)
Magnetic Resonance Imaging Introduction The Components The Technology (MRI) Physics behind MR Most slides taken from http:// www.slideworld.org/ viewslides.aspx/magnetic- Resonance-Imaging- %28MRI%29-MR-Imaging-
More informationMøller Polarimetry for PV Experiments at 12 GeV
Outline E.Chudakov Jan 15, 2010, MOLLER Review Møller Polarimetry 1 Møller Polarimetry for PV Experiments at 12 GeV E.Chudakov 1 1 JLab MOLLER Review Outline E.Chudakov Jan 15, 2010, MOLLER Review Møller
More informationNucleon Electromagnetic Form Factors: Introduction and Overview
Nucleon Electromagnetic Form Factors: Introduction and Overview Diego Bettoni Istituto Nazionale di Fisica Nucleare, Ferrara Scattering and Annihilation Electromagnetic Processes Trento, 18- February 013
More informationNuclear electric dipole moment in the Gaussian expansion method
Nuclear electric dipole moment in the Gaussian expansion method Nodoka Yamanaka (ithes Group, RIKEN) In collaboration with E. Hiyama (RIKEN), T. Yamada (Kanto-Gakuin Univ.), Y. Funaki (RIKEN) 2015/10/12
More informationHadronic Weak Interactions
1 / 44 Hadronic Weak Interactions Matthias R. Schindler Fundamental Neutron Physics Summer School 2015 Some slides courtesy of N. Fomin 2 / 44 Weak interactions - One of fundamental interactions - Component
More informationHadronic parity-violation in pionless effective field theory
Hadronic parity-violation in pionless effective field theory Matthias R. Schindler Ohio University PAVI9 June 25, 29 In collaboration with D. R. Phillips and R. P. Springer Introduction Effective Field
More informationLecture 19: Building Atoms and Molecules
Lecture 19: Building Atoms and Molecules +e r n = 3 n = 2 n = 1 +e +e r y even Lecture 19, p 1 Today Nuclear Magnetic Resonance Using RF photons to drive transitions between nuclear spin orientations in
More informationMeasurements with Polarized Hadrons
Aug 15, 003 Lepton-Photon 003 Measurements with Polarized Hadrons T.-A. Shibata Tokyo Institute of Technology Contents: Introduction: Spin of Proton Polarized Deep Inelastic Lepton-Nucleon Scattering 1.
More informationParity-Violating Measurements of the Weak Charge of. Pb (PREX) & Ca (CREX) . and possible future measurements. R. Michaels, ICNT / MSU, Aug /26
Parity-Violating Measurements of the Weak Charge of 208 Pb (PREX) & 48 Ca (CREX) 208 Pb 48 Ca. and possible future measurements R. Michaels, ICNT / MSU, Aug 2013 1/26 Hall A at Jefferson Lab Hall A High
More informationBand Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory. C. R. Praharaj Institute of Physics Bhubaneswar.
Band Structure of nuclei in Deformed HartreeFock and Angular Momentum Projection theory C. R. Praharaj Institute of Physics. India INT Workshop Nov 2007 1 Outline of talk Motivation Formalism HF calculation
More informationStrange Electromagnetic and Axial Nucleon Form Factors
Strange Electromagnetic and Axial Nucleon Form Factors A combined analysis of HAPPEx, G 0, and BNL E734 data Stephen Pate, Glen MacLachlan, David McKee, Vassili Papavassiliou New Mexico State University
More informationarxiv: v1 [physics.atom-ph] 22 Aug 2012
arxiv:128.457v1 [physics.atom-ph] 22 Aug 212 Measurement of the electron s electric dipole moment using YbF molecules: methods and data analysis D M Kara, I J Smallman, J J Hudson, B E Sauer, M R Tarbutt
More informationDrickamer type. Disk containing the specimen. Pressure cell. Press
ε-fe Drickamer type Press Pressure cell Disk containing the specimen Low Temperature Cryostat Diamond Anvil Cell (DAC) Ruby manometry Re gasket for collimation Small size of specimen space High-density
More informationShimming of a Magnet for Calibration of NMR Probes UW PHYSICS REU 2013
Shimming of a Magnet for Calibration of NMR Probes RACHEL BIELAJEW UW PHYSICS REU 2013 Outline Background The muon anomaly The g-2 Experiment NMR Design Helmholtz coils producing a gradient Results Future
More informationThe FrPNC Experiment, weak interaction studies in Francium at TRIUMF
The FrPNC Experiment, weak interaction studies in Francium at TRIUMF E Gomez 1, S Aubin 2, R Collister 3, J A Behr 4, G Gwinner 3, L A Orozco 5, M R Pearson 4, M Tandecki 3, D Sheng 5, J Zhang 5 1 Institute
More informationTime Reversal and the electron electric dipole moment. Ben Sauer
Time Reversal and the electron electric dipole moment Ben Sauer Mysteries of physics Mysteries of physics Baryon asymmetry Why is there more matter than antimatter in the observable universe? Breaking
More information